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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…
Sankhanil Dey, Ranjan Ghosh
Substitution boxes or S-boxes play a significant role in encryption and de-cryption of bit level plaintext and cipher-text respectively. Irreducible Poly-nomials (IPs) have been used to construct 4-bit or 8-bit substitution boxes in many cryptographic block c…
Brahim Chaourar
Let M be a matroid defined on a finite set E and L ⊂ E . L is locked in M if and are 2-connected, and . In this paper, we prove that the nontrivial facets of the bases polytope of M are described by the locked subsets. We deduce that finding the maximum…
Bill Quan Yue
A graph G is said to have a perfect dominating set S if S is a set of vertices of G and for each vertex v of G , either v is in S and v is adjacent to no other vertex in S , or v is not in S but is adjacent to precisely one vertex of S . A graph G may have no…
Yongqiang Zhao, Shijun Su
A total coloring of a graph G is a function such that no adjacent vertices, edges, and no incident vertices and edges obtain the same color. A k -interval is a set of k consecutive integers. A cyclically interval total t -coloring of a graph G is a total colo…
Ramy Shaheen, Ziad Kanaya, Samar Jakhlab
A coloring of G is d-distance if any two vertices at distance at most d from each other get different colors. The minimum number of colors in d-distance colorings of G is its d-distance chromatic number , denoted by χ d ( G ). In this paper, we give the exact…
Yana Liu, Yongqiang Zhao
For a given graph G , a k -role assignment of G is a surjective function such that , where N(x ) and N(y ) are the neighborhoods of x and y , respectively. Furthermore, as we limit the number of different roles in the neighborhood of an individual, we call r…
Viorel Nitica
We consider tilings of deficient rectangles by the set T 4 of ribbon L -tetro-minoes. A tiling exists if and only if the rectangle is a square of odd side. The missing cell has to be on the main NW-SE diagonal, in an odd position if the square is (4m+1)×(4m+1…
Naoto Morikawa
This paper proposes a novel four-dimensional approach to the structural study of protein complexes. In the approach, the surface of a protein molecule is to be described using the intersection of a pair of four-dimensional triangular cones (with multiple top…
Balaji Raghunath Wadkar, Vishnu Narayan Mishra, Ramakant Bhardwaj, Basant Singh
In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the…
Talal Al-Hawary
In this paper, we prove an analogous to a result of Erd ö s and Rényi and of Kelly and Oxley. We also show that there are several properties of k-balanced matroids for which there exists a threshold function.
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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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