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  Subjects -> MATHEMATICS (Total: 889 journals)
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    - MATHEMATICS (659 journals)
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MATHEMATICS (659 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 8)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 7)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 1)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 9)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Discrete Mathematics, Algorithms and Applications
  [2 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1793-8309 - ISSN (Online) 1793-8317
   Published by World Scientific Homepage  [118 journals]
  • [math]-matching in [math]-uniform hypergraphs
    • Authors: Yi Zhang, Mei Lu
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      A matching of a [math]-uniform hypergraph is a set of pairwise disjoint edges. A [math]-matching in a [math]-uniform hypergraph [math] is a matching of size [math]. Let [math] be a [math]-uniform hypergraph of order [math] and [math]. If [math] for any two adjacent vertices [math], and [math], then [math] contains a [math]-matching. This result is an extension of a work of Bollobás, Daykin and Erdős [Sets of independent edges of a hypergraph, Quart. J. Math. Oxford 21 (1976) 25–32].
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-10-19T09:04:45Z
      DOI: 10.1142/S1793830917500720
       
  • On min–max distance degree index
    • Authors: Ishwar Baidari, Preeti Savant
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      In this paper, we present a new index called min–max distance degree index, [math] for molecular graphs. It appears that this index correlates well with properties of 33 and 28 nonanes like, energy of formation and density, and its correlation coefficient is 0.812 and 0.754, respectively. The basic mathematical features and graph operations are presented. In addition, the linear regression analysis of predicted and experimental boiling point of acyclic hydrocarbons is shown, where predicted boiling point is determined by implementing this index with Wiener’s model.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-10-19T09:04:45Z
      DOI: 10.1142/S1793830917500732
       
  • Total irregularity strength of disjoint union of isomorphic copies of
           generalized Petersen graph
    • Authors: Muhammad Naeem, Muhammad Kamran Siddiqui
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      Let [math] be a graph. A total labeling [math] is called totally irregular total [math]-labeling of [math] if every two distinct vertices [math] and [math] in [math] satisfy [math] and every two distinct edges [math] and [math] in [math] satisfy [math] where [math] and [math] The minimum [math] for which a graph [math] has a totally irregular total [math]-labeling is called the total irregularity strength of [math], denoted by [math] In this paper, we determined the total irregularity strength of disjoint union of [math] isomorphic copies of generalized Petersen graph.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-10-19T09:04:44Z
      DOI: 10.1142/S1793830917500719
       
  • Commutative single power cyclic hypergroups of order three and period two
    • Authors: M. Al Tahan, B. Davvaz
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      Cyclic hypergroups are of great importance due to their applications to many fields in mathematics. In this paper, we classify all commutative single power cyclic hypergroups of order three and period two. Moreover, we prove some new interesting properties regarding cyclic hypergroups.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-10-10T01:55:30Z
      DOI: 10.1142/S1793830917500707
       
  • T-joins in strongly connected hypergraphs
    • Authors: Gruia Calinescu
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      Given an edge-weighted undirected hypergraph [math] and an even-sized set of vertices [math], a T-cut is a partition of [math] into two parts [math] and [math] such that [math] is odd. A T-join in [math] for [math] is a set of hyperedges [math] such that for every T-cut [math] there is a hyperedge [math] intersecting both [math] and [math]. A directed hypergraph has for every hyperedge exactly one vertex, called the head, and several vertices, that are tails. A directed hypergraph is strongly connected if there exists at least one directed path between any two vertices of the hypergraph, where a directed path is defined to be a sequence of vertices and hyperedges for which each hyperedge has as one of its tails the vertex preceding it and as its head the vertex following it in the sequence. Orienting an undirected hypergraph means choosing a head for each hyperedge. We prove that every edge-weighted undirected hypergraph that admits a strongly connected orientation has a T-join of total weight at most 7/8 times the total weight of all the edges of the hypergraph, and sketch an improvement to 4/5. We also exhibit a series of example showing that one cannot improve the constant above to [math].
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-09-28T04:13:02Z
      DOI: 10.1142/S1793830917500689
       
  • On the minimum vertex covering transversal dominating sets in graphs and
           their classification
    • Authors: R. Vasanthi, K. Subramanian
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      Let [math] be a simple and connected graph. A dominating set [math] is said to be a vertex covering transversal dominating set if it intersects every minimum vertex covering set of [math]. The vertex covering transversal domination number [math] is the minimum cardinality among all vertex covering transversal dominating sets of [math]. A vertex covering transversal dominating set of minimum cardinality [math] is called a minimum vertex covering transversal dominating set or simply a [math]-set. In this paper, we prove some general theorems on the vertex covering transversal domination number of a simple connected graph. We also provide some results about [math]-sets and try to classify those sets based on their intersection with the minimum vertex covering sets.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-09-28T04:13:02Z
      DOI: 10.1142/S1793830917500690
       
  • Graphs with cyclomatic number three having panconnected square
    • Authors: G. L. Chia, W. Hemakul, S. Singhun
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      The square of a graph [math] is the graph obtained from [math] by adding edges joining those pairs of vertices whose distance from each other in [math] is two. If [math] is connected, then the cyclomatic number of [math] is defined as [math]. Graphs with cyclomatic number not more than [math] whose square are panconnected have been characterized, among other things, in [G. L. Chia, S. H. Ong and L. Y. Tan, On graphs whose square have strong Hamiltonian properties, Discrete Math. 309 (2009) 4608–4613, G. L. Chia, W. Hemakul and S. Singhun, Graphs with cyclomatic number two having panconnected square, Discrete Math. 311 (2011) 850–855]. Here, we show that if [math] has cyclomatic number [math] and [math] is panconnected, then [math] is one of the eight families of graphs, [math], defined in the paper. Further, we obtain necessary and sufficient conditions for three larger families of graphs (which contains [math] as special cases) whose square are panconnected.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-09-28T04:13:02Z
      DOI: 10.1142/S1793830917500677
       
  • Degree-based topological indices of double graphs and strong double graphs
    • Authors: Muhammad Imran, Shehnaz Akhter
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      The topological indices are useful tools to the theoretical chemists that are provided by the graph theory. They correlate certain physicochemical properties such as boiling point, strain energy, stability, etc. of chemical compounds. For a graph [math], the double graph [math] is a graph obtained by taking two copies of graph [math] and joining each vertex in one copy with the neighbors of corresponding vertex in another copy and strong double graph SD[math] of the graph [math] is the graph obtained by taking two copies of the graph [math] and joining each vertex [math] in one copy with the closed neighborhood of the corresponding vertex in another copy. In this paper, we compute the general sum-connectivity index, general Randi[math] index, geometric–arithmetic index, general first Zagreb index, first and second multiplicative Zagreb indices for double graphs and strong double graphs and derive the exact expressions for these degree-base topological indices for double graphs and strong double graphs in terms of corresponding index of original graph [math].
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-09-12T03:28:08Z
      DOI: 10.1142/S1793830917500665
       
  • Disjoint dominating sets with a perfect matching
    • Authors: William F. Klostermeyer, Margaret-Ellen Messinger, Alejandro Angeli Ayello
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      In this paper, we consider dominating sets [math] and [math] such that [math] and [math] are disjoint and there exists a perfect matching between them. Let [math] denote the cardinality of smallest such sets [math] in [math] (provided they exist, otherwise [math]). This concept was introduced in [W. F. Klostermeyer, M. E. Messinger and A. Angeli Ayello, An eternal domination problem in grids, Theory Appl. Graphs 4(1) (2017) 23pp.] in the context of studying a certain graph protection problem. We characterize the trees [math] for which [math] equals a certain graph protection parameter and for which [math], where [math] is the independence number of [math]. We also further study this parameter in graph products, e.g., by giving bounds for grid graphs, and in graphs of small independence number.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-09-08T02:37:59Z
      DOI: 10.1142/S1793830917500653
       
  • Computation of certain topological properties of para-line graph of
           honeycomb networks and graphene
    • Authors: Ali Ahmad
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      Graphene is an atomic scale honeycomb lattice made of the carbon atoms. Graph theory has given scientific expert an assortment of helpful apparatuses, for example, topological indices. A topological index [math] of a graph [math] is a number with the property that for each graph [math] isomorphic to [math] [math]. In this paper, we exhibit correct expressions for some topological indices for para-line graph of honeycomb networks and graphene.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-09-05T01:20:36Z
      DOI: 10.1142/S1793830917500641
       
  • Sorting permutations: Games, genomes, and cycles
    • Authors: K. L. M. Adamyk, E. Holmes, G. R. Mayfield, D. J. Moritz, M. Scheepers, B. E. Tenner, H. C. Wauck
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      Permutation sorting, one of the fundamental steps in pre-processing data for the efficient application of other algorithms, has a long history in mathematical research literature and has numerous applications. Two special-purpose sorting operations are considered in this paper: context directed swap, (cds) and context directed reversal, (cdr). These are special cases of sorting operations that were studied in prior work on permutation sorting. Moreover, cds and cdr have been postulated to model molecular sorting events that occur in the genome maintenance program of certain species of single-celled organisms called ciliates. This paper investigates mathematical aspects of these two sorting operations. The main result of this paper is a generalization of previously discovered characterizations of cds-sortability of a permutation. The combinatorial structure underlying this generalization suggests natural combinatorial two-player games. These games are the main mathematical innovation of this paper.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-08-25T07:18:08Z
      DOI: 10.1142/S179383091750063X
       
  • Winding indexes of Max. and Min. Hamiltonians in [math]-Gons
    • Authors: Blanca Isabel Niel
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      The resolutions of the different Shortest and Longest Euclidean Hamiltonian Path Problems on the vertices of simple regular [math]-Gons, by means of a geometric and arithmetic algorithm allow us to define winding indexes for Euclidean Hamiltonian cycles. New statements characterize orientation of non-necessarily regular Hamiltonian cycles on the [math]th roots of the unity embedded in the plane and deal with the existence of reflective bistarred Hamiltonian tours on vertices of coupled [math]-Gons.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-08-08T07:40:05Z
      DOI: 10.1142/S1793830917500616
       
  • New bounds on the decycling number of generalized de Bruijn digraphs
    • Authors: Jyhmin Kuo, Hung-Lin Fu
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      A set of vertices of a graph whose removal leaves an acyclic graph is referred as a decycling set, or a feedback vertex set, of the graph. The minimum cardinality of a decycling set of a graph [math] is referred to as the decycling number of [math]. For [math], the generalized de Bruijn digraph [math] is defined by congruence equations as follows: [math] and [math]. In this paper, we give a systematic method to find a decycling set of [math] and give a new upper bound that improve the best known results. By counting the number of vertex-disjoint cycles with the idea of constrained necklaces, we obtain new lower bounds on the decycling number of generalized de Bruijn digraphs.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-08-08T07:40:05Z
      DOI: 10.1142/S1793830917500628
       
  • A neigborhood union condition for nonadjacent vertices in graphs
    • Authors: Farzad Shaveisi
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      A simple graph [math] is called [math]-bounded if for every two nonadjacent vertices [math] of [math] there exists a vertex [math] such that [math], where [math] denotes the set of neighbors of the vertex [math] in [math]. In this paper, some properties of [math]-bounded graphs are studied. It is shown that any bipartite [math]-bounded graph is a complete bipartite graph with at most two horns; in particular, any [math]-bounded tree is either a star or a two-star graph. Also, we prove that any non-end vertex of every [math]-bounded graph is contained in either a triangle or a rectangle. Among other results, it is shown that all regular [math]-bounded graphs are strongly regular graphs. Finally, we determine that how many edges can an [math]-bounded graph have'
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-08-07T03:22:01Z
      DOI: 10.1142/S1793830917500604
       
  • New simple algorithms for computing the minimal polynomial of [math]
    • Authors: Faïçal Bouazizi, Zaineb Guetif, Sami Hidouri
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      In the present paper, we propose two new simple algorithms for computing the minimal polynomial of cos([math]) based on Galois theory.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-07-28T11:42:46Z
      DOI: 10.1142/S1793830917500598
       
  • On the genus of the graph associated to a commutative ring
    • Authors: K. Selvakumar, P. Subbulakshmi, Jafar Amjadi
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      Let [math] be a commutative ring with identity. We consider a simple graph associated with [math], denoted by [math], whose vertex set is the set of all non-trivial ideals of [math] and two distinct vertices [math] and [math] are adjacent whenever [math] or [math]. In this paper, we characterize the commutative Artinian non-local ring [math] for which [math] has genus one and crosscap one.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-07-19T06:43:50Z
      DOI: 10.1142/S1793830917500586
       
  • Generic type of Ahlswede–Zhang style identities
    • Authors: Tran Dan Thu
      Abstract: Discrete Mathematics, Algorithms and Applications, Ahead of Print.
      We introduce a generic identity based on the Ahlswede–Zhang (AZ) function, which can be considered as a template to establish AZ-style identities. Many AZ-style identities can be derived from the generic identity.
      Citation: Discrete Mathematics, Algorithms and Applications
      PubDate: 2017-07-17T02:56:03Z
      DOI: 10.1142/S1793830917500574
       
 
 
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