A new graph based on the semi-direct product of some monoids
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In this paper, firstly, we define a new graph based on the semi-direct product of a free abelian monoid of rank n by a finite cyclic monoid, and then discuss some graph properties on this new graph, namely diameter, maximum and minimum degrees, girth, degree sequence and irregularity index, domination number, chromatic number, clique number of Gamma (P-M). Since graph theoretical studies (including such above graph parameters) consist of some fixed point techniques, they have been applied in fields such as chemistry (in the meaning of atoms, molecules, energy etc.) and engineering (in the meaning of signal processing etc.), game theory and physics.
Description
Keywords
graphs, semi-direct product, monoid presentation
Journal or Series
JOURNAL OF INEQUALITIES AND APPLICATIONS
WoS Q Value
Q2
Scopus Q Value
Q2
