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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…
Rita Vincenti
In this note we consider ruled varieties V 2 2 r − 1 of P G ( 2 r , q ) , generalizing some results shown for r = 2 , 3 in previous papers. By choosing appropriately two directrix curves, a V 2 2 r − 1 represents a non-affine subplane of order q of the projec…
Wenduan Dai, Yan Liu, Yanfang Wu
Let k be a positive integer and G a bipartite graph with bipartition ( X , Y ) . A perfect 1- k matching is an edge subset M of G such that each vertex in Y is incident with exactly one edge in M and each vertex in X is incident with exactly k edges in M . A…
Jie Hou
Let 2 m > 2 , m ∈ ℤ , be the given even number of the Strong Goldbach Conjecture Problem. Then, m can be called the median of the problem. So, all Goldbach partitions ( p , q ) exist a relationship, p = m − d and q = m + d , where p ≤ q and d is the distance…
Rita Vincenti
In this note we study subplanes of order <i>q</i> of the projective plane <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mrow> <mi>Π</mi><mo>=</mo><mi>P</mi><mi>G</mi><mrow><mo>(</mo> <mrow> <mn>2,</mn><msup> <mi>q</mi> <mn>3</mn>…
Bossoto Bossoto, Gabriel Bissanga
Rational approximation theory occupies a significant place in signal processing and systems theory. This research paper proposes an optimal design of BIBO stable multidimensional Infinite Impulse Response filters with a realizable (rational) transfer function…
Nasir Ali, 1 1
This research investigates the comparative efficacy of generating zero divisor graphs (ZDGs) of the ring of integers ℤ n modulo n using MAPLE algo rithm. Zero divisor graphs, pivotal in the study of ring theory, depict rela tionships between elements of a rin…
Pon Jeyanthi, Meganathan Selvi, Damodaran Ramya
A graph G is said to be one modulo N-difference mean graph if there is an injective function f from the vertex set of G to the set , where N is the natural number and q is the number of edges of G and f induces a bijection from the edge set of G to given by a…
Ganghua Xie, Yinkui Li
Cycle multiplicity of a graph G is the maximum number of edge disjoint cycles in G . In this paper, we determine the cycle multiplicity of and then obtain the formula of cycle multiplicity of total graph of complete bipartite graph , this generalizes the resu…
Junyu Luo, Shengzhen Ding
The aim of this paper is to given an algebraic computational method for finding maximal independent sets as well as the independent number of an arbitrary finite graph of n vertices G by strengthening the problem of finding maximal independent sets of G to th…
Naoto Morikawa
Proteins perform a variety of functions in living organisms and their functions are largely determined by their shape. In this paper, we propose a novel mathematical method for designing protein-like molecules of a given shape. In the mathematical model, mole…
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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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