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Open Journal of Discrete Mathematics (OJDM) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote,share,and discuss various new issues and developments in different areas of discrete mathematics. All manuscri…
Hatem Najar, Riadh Gargouri
In this study, we consider the problem of triangulated graphs. Precisely we give a necessary and sufficient condition for a graph to be triangulated. This gives an alternative characterization of triangulated graphs. Our method is based on the so-called perfe…
Yanan Feng, Zhe Wang
In this note, we first derive an exponential generating function of the alternating run polynomials. We then deduce an explicit formula of the alternating run polynomials in terms of the partial Bell polynomials.
Shepherd Chikomana, Xiaoxue Hu
Genome sequencing is the process of determining in which order the nitrogenous bases also known as nucleotides within a DNA molecule are arranged. Every organism’s genome consists of a unique sequence of nucleotides. These nucleotides bases provide the phenot…
Yinkui Li, Ting Xie, Xiaoxiao Qin
The g -good-neighbor connectivity of G is a generalization of the concept of connectivity , which is just for , and an important parameter in measuring the fault tolerance and reliability of interconnection network. Many well-known networks can be constructed…
Yinkui Li, Tingyi Zhu
The rupture degree of a noncomplete - connected graph G is defined by , where is the number of components of and is the order of the l argest component of . In this paper, we determine the rupture degree of some Cartesian product graphs.
Russell J. Campbell, Nancy E. Clarke, Gary MacGillivray
Several possible definitions of local injectivity for a homomorphism of an oriented graph G to an oriented graph H are considered. In each case, we determine the complexity of deciding whether there exists such a homomorphism when G is given and H is a fixed…
Millán Beatriz, 1 1
This paper is focused on the analysis, in the framework of lattice theory, of the matchings obtained from restabilization (after disrupt ion ) of stable matchings. When the disruption is due to entry workers or closure of firms the unemployed workers make off…
Pamela E. Harris, Peter Hollander, Erik Insko
A dominating set of a graph G is a set of vertices that contains at least one endpoint of every edge on the graph. The domination number of G is the order of a minimum dominating set of G . The ( t , r ) broadcast domination is a generalization of domination…
Alissa Shen, Jian Shen
Let G = (V, E) be a graph and C m be the cycle graph with m vertices. In this paper, we continued Yeh’s work [ 1 ] on the distance labeling of the cycle graph C m . An n -set distance labeling of a graph G is the labeling of the vertices (with n labels per ve…
Naoto Morikawa
This paper proposes a novel application of cohomology to protein structure analysis. Since proteins interact each other by forming transient protein complexes, their shape (e.g., shape complementarity) plays an important role in their functions. In our mathem…
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Open Journal of Discrete Mathematics (OJDM) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote,share,and discuss various new issues and developments in different areas of discrete mathematics. All manuscri… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
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