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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…
S. K. Vaidya, U. M. Prajapati
We investigate prime labeling for some graphs resulted from switching of a vertex. We discuss switching invariance of some prime graphs and prove that the graphs obtained by switching of a vertex in P n and K 1,n admit prime labeling. Moreover we discuss prim…
Samir K. Vaidya, Nirav H. Shah
In this paper we prove that the split graphs of K 1,n and B n,n are prime cordial graphs. We also show that the square graph of B n,n is a prime cordial graph while middle graph of P n is a prime cordial graph for n≥4 . Further we prove that the wheel graph W…
T. Tamizh Chelvam, G. Kalaimurugan
In this paper, sharp upper bounds for the domination number, total domination number and connected domination number for the Cayley graph G = Cay(D2n, Ω) constructed on the finite dihedral group D2n, and a specified generating set Ω of D2n. Further efficient…
Ahmad N. Al-Kenani
In this paper, we investigated the code over GF(2) which is generated by the incidence matrix of the symmetric (2,4) - net D. By computer search, we found that this binary code of D has rank 13 and the minimum distance is 8.
Zongtian Wei, Huayong Xiao
A facility system can be modeled by a connected graph in which the vertices represent entities such as suppliers, distribution centers or customers and the edges represent facilities such as the paths of goods or information. The efficiency, and hence the rel…
Kazunori Shinohara
In order to decrease the fluid drag on an underwater robot manipulator, an optimal trajectory method based on the variational method is presented. By introducing the adjoint variables, which are Lagrange multipliers, we formulate a Lagrange function under cer…
Khalid Amin
If a finite abelian group <i>G</i> is a direct product of its subsets such that <i>G</i> = <i>A</i><sub>1</sub>···<i>A</i><sub>i</sub>···<i>A</i><sub>n</sub>, <i>G</i> is said to have the Hajos-<i>n</i>-proprty if it follows that one of these subsets, say <i>…
Shuanming Li
We study the high order equilibrium distributions of a counting random variable. Properties such as moments, the probability generating function, the stop--loss transform and the mean residual lifetime, are derived. Expressions are obtained for higher order e…
Mircea Parpalea
This paper presents an algorithm for solving Bi-criteria Minimum Cost Dynamic Flow (BiCMCDF) problem with continuous flow variables. The approach is to transform a bi-criteria problem into a parametric one by building a single parametric linear cost out of th…
Mateus Alegri, Eduardo Henrique de Mattos Brietzke, José Plínio de Oliveira Santos, Robson da Silva
By using lattice paths in the three-dimensional space we obtain bijectively an interpretation for the overpartitions of a positive integer n in terms of a set of plane partitions of n . We also exhibit two bijections between unrestricted partitions of n and d…
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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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