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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…
Premalatha Junius, Viorel Nitica
We show that the least number of cells (the gap number) one needs to take out from a rectangle with integer sides of length at least 2 in order to be tiled by ribbon right trominoes is less than or equal to 4. If the sides of the rectangle are of length at le…
A. Zubairu, A. A. Ibrahim
Network theory and its associated techniques has tremendous impact in various discipline and research, from computer, engineering, architecture, humanities, social science to system biology. However in recent years epidemiology can be said to utilizes these p…
Horst Kramer
We give a characterization of the boundaries of smooth strictly convex sets in the Euclidean plane R 2 based on the existence and uniqueness of inscribed triangles.
Bing Zhou
We say that a parameter p of directed graphs has the interval property if for every graph G and orientations of G , p can take every value between its minimum and maximum values. Let λ be the length of the longest directed path. A question asked by C.…
Yongqiang Zhao, Zhiming Fang, Yonggang Cui, Guoyan Ye, Zhijun Cao
It is hard to compute the competition number for a graph in general and characterizing a graph by its competition number has been one of important research problems in the study of competition graphs. Sano pointed out that it would be interesting to compute t…
Khalid Amin
Tilings of p -groups are closely associated with error-correcting codes. In [1], M. Dinitz, attempting to generalize full-rank tilings of <span style="font-family: Euclid Math Two">Z</span><sup>n</sup><sub style="margin-left:-6px;">2</sub> to arbitrary finite…
Ramy Shaheen, Suhail Mahfud, Khames Almanea
A set D of vertices of a graph G = ( V , E ) is called k -dominating if every vertex v ∈ V -D is adjacent to some k vertices of D . The k -domination number of a graph G , γ k ( G ), is the order of a smallest k -dominating set of G . In this paper we calcula…
Nathan Hamlin
With the challenge of quantum computing ahead, an analysis of number and representation adequate to the task is needed. Some clarifications on the combinatorial nature of representation are presented here; this is related to the foundations of digital represe…
Zhijun Cao, Yonggang Cui, Guoyan Ye, Yongqiang Zhao
For any graph G , G together with sufficiently many isolated vertices is the competition graph of some acyclic digraph. The competition number k ( G) of a graph G is defined to be the smallest number of such isolated vertices. In general, it is hard to comput…
Gary Miller
A familiar and natural decomposition of square matrices leads to the construction of a Pfaffian with the same value as the determinant of the square matrix.
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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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