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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…
Lucas I. B. Freitas, Orlando Lee
Let D be a digraph. A subset S of V (D) is a stable set if every pair of vertices in S is non-adjacent in D . A collection of disjoint paths is a path partition of D , if every vertex in V (D) is in exactly one path of . We say that a stable set S and a path…
Xiao Feng, Penghao Cao, Zhikui Chang
In this paper, we prove that the surface of any circular cone can be triangulated into 8 non-obtuse and 20 acute triangles. Furthermore, we also show that the bounds are both the best possible.
Medha Itagi Huilgol, B. Divya
A set S ⊆ V (G) is called a geodetic set if every vertex of G lies on a shortest u-v path for some u, v ∈ S , the minimum cardinality among all geodetic sets is called geodetic number and is denoted by . A set C ⊆ V (G) is called a chromatic set if C contains…
Xia Hong, Guoyan Ao, Feng Gao
Let be a graph. A function is said to be a Signed Dominating Function (SDF) if holds for all . The signed domination number . In this paper, we determine the exact value of the Signed Domination Number of graphs and for , which is generalized the known result…
Brice M. Miayoka, Regis F. Babindamana, Basile G. R. Bossoto
We compute rational points on real hyperelliptic curves of genus 3 defined on whose Jacobian have Mordell-Weil rank r=0 . We present an implementation in sagemath of an algorithm which describes the birational transformation of real hyperelliptic curves into…
Oladapo Adekunle Ojo, Fatma Salim Ali Al-Kharousi, Abdullahi Umar
Let be the partial symmetric semigroup on and let and be its subsemigroups of order-preserving contractions and order-preserving, order-decreasing contractions mappings of , respectively. In this paper we investigate the cardinalities of and , the set idempot…
Viktoriya Bardenova, Vincent Ciarcia, Erik Insko
In this paper we analyze and model three open problems posed by Harris, Insko, Prieto-Langarica, Stoisavljevic, and Sullivan in 2020 concerning the tipsy cop and robber game on graphs. The three different scenarios we model account for different biological sc…
Matthew Davis, Shiv K. Gupta
In this paper using elementary Galois Theory, we give a detailed explanation of the calculation of the radical expression for which was first discussed by Vandermonde decades before Galois and we point out and correct a minor correction in his work which was…
Ashraf Ibrahim Hefnawy Elrokh, Shokry Ibrahim Mohamed Nada, Eman Mohamed El-Sayed El-Shafey
A graph is said to be cordial if it has 0 - 1 labeling which satisfies particular conditions. In this paper, we construct the corona between paths and second power of fan graphs and explain the necessary and sufficient conditions for this construction to be c…
Nenad Stojanovic
In this paper, tiling a plane with equilateral semi-regular convex polygons is considered, and, that is, tiling with equilateral polygons of the same type. Tiling a plane with semi-regular polygons depends not only on the type of a semi-regular polygon, but a…
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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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