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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…
Rafayel R. Kamalian
A proper edge t -coloring of a graph G is a coloring of its edges with colors 1,2,???, t such that all colors are used, and no two adjacent edges receive the same color. A cyclically interval t -coloring of a graph G is a proper edge t -coloring of G such tha…
Jingjian Li, Bengong Lou, Rui Wang
Let be a connected Cayley graph of group G , then Γ is called normal if the right regular representation of G is a normal subgroup of , the full automorphism group of Γ . For the case where G is a finite nonabelian simple group and Γ is symmetric cubic Cayley…
Severino V. Gervacio, Teofina A. Rapanut, Phoebe Chloe F. Ramos
If is a permutation of , the graph has vertices where xy is an edge of if and only if ( x , y ) or ( y , x ) is an inversion of . Any graph isomorphic to is called a permutation graph. In 1967 Gallai characterized permutation graphs in terms of forbidden indu…
Cecília Pereira de Andrade, José Plínio de Oliveira Santos, Elen Viviani Pereira da Silva, Kênia Cristina Pereira Silva
In this paper we present combinatorial interpretations and polynomials generalizations for sequences including the Fibonacci numbers, the Pell numbers and the Jacobsthal numbers in terms of partitions. It is important to mention that results of this nature we…
Alexey Nikolayevitch Teterin
The concept of computability is defined more exactly and illustrated as an example of Boolean functions and cryptanalysis. To define a Boolean function is not necessary to record its formula. To do that the reduced (compact) description of values is determine…
Juuso T. Olkkonen, Hannu Olkkonen
Riemann zeta function is an important tool in signal analysis and number theory. Applications of the zeta function include e.g. the generation of irrational and prime numbers. In this work we present a new accelerated series for Riemann zeta function. As an a…
Edgar A. Cohen Jr.
The purpose of this paper is to establish, paralleling a well-known result for definite integrals, the conditional convergence of a family of trigonometric sine series. The fundamental idea is to group appropriately the terms of the series in order to show ab…
Jean-Philippe Labbé, Gilbert Labelle
An arborescence is a directed rooted tree in which all edges point away from the root. An arborescent word is obtained by replacing each element of the underlying set of an arborescence by an arbitrary letter of a given alphabet (with possible repetitions). W…
Venkataraman Yegnanarayanan, Angamuthu Parthiban
An integer distance graph is a graph G ( Z , D ) with the set of integers as vertex set and an edge joining two vertices u and v if and only if ∣ u - v ∣ D where D is a subset of the positive integers. It is known that x ( G ( Z , D ) )=4 where P is a set of…
Shanliang Zhu, Xinli Zhang
In this paper, we consider the following forced higher-order nonlinear neutral dynamic equation on time scales. By using Banach contraction principle, we obtain sufficient conditions for the existence of nonoscillatory solutions for general and which means th…
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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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