Signed And Roman Edge Dominating Functions Of Corona Product Graph Of A Cycle With A Complete Graph

• Author(s): J. Anitha ; B. Maheswari
• Paper ID: 1701575
• Page: 677-683
• Published Date: 04-09-2019
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 3 Issue 2 August-2019

Abstract

Graph Theory has been realized as one of the most useful branches of Mathematics of recent origin with wide applications to combinatorial problems and classical algebraic problems. Graph theory has applications in diverse areas such as social sciences, linguistics, physical sciences, communication engineering etc. The theory of domination in graphs is an emerging area of research in graph theory today. It has been studied extensively and finds applications to various branches of Science & Technology. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by Haynes et al [13, 14]. Frucht and Harary [11] introduced a new product on two graphs G1 and G2, called corona product denoted by G18G2. The object is to construct a new and simple operation on two graphs G1 and G2 called their corona, with the property that the group of the new graph is in general isomorphic with the wreath product of the groups of G1 and of G2. In this paper, some results on minimal signed and Roman edge dominating functions of corona product graph of a cycle with a complete graph are presented.

Keywords

Corona Product, Cycle, Complete graph, Signed edge dominating function, Roman edge dominating function

Citations

IRE Journals:
J. Anitha , B. Maheswari "Signed And Roman Edge Dominating Functions Of Corona Product Graph Of A Cycle With A Complete Graph" Iconic Research And Engineering Journals Volume 3 Issue 2 2019 Page 677-683

IEEE:
J. Anitha , B. Maheswari "Signed And Roman Edge Dominating Functions Of Corona Product Graph Of A Cycle With A Complete Graph" Iconic Research And Engineering Journals, 3(2)