Signed Unidominating Functions Of Corona Product Graph Pn - K1,m

• Author(s): B. Aruna ; B. Maheswari
• Paper ID: 1701672
• Page: 113-118
• Published Date: 18-10-2019
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 3 Issue 4 October-2019

Abstract

In recent years Graph Theory has been realized as one of the most developed branches of Mathematics with wide applications to several fields - like computer science, social sciences, Science & Technology, etc. The concept of ?Dominating function? in domination theory arouses much interest of research which has emerged rapidly in the last three decades. 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. [5, 6]. Corona product graphs is a new concept introduced by Frucht and Harary [2] has become an interesting area of research at present. The object is to construct a new and simple operation on two graphs G_1and G_2 called their corona, denoted by G_1  G_2 with the property that the group of the new graph is in general isomorphic with the wreath product of the groups of G_1 and of G_2. A new concept signed unidominating function is introduced and studied this concept for corona product graph〖 P〗_n  K_(1,m) and determined the signed unidomination and upper signed unidomination numbers for 〖 P〗_n  K_(1,m). Also the number of signed unidominating functions of minimum weight is found.

Keywords

Signed unidominating function, signed unidomination number, minimal signed uni dominating function, upper signed unidomination number

Citations

IRE Journals:
B. Aruna , B. Maheswari "Signed Unidominating Functions Of Corona Product Graph Pn - K1,m" Iconic Research And Engineering Journals Volume 3 Issue 4 2019 Page 113-118

IEEE:
B. Aruna , B. Maheswari "Signed Unidominating Functions Of Corona Product Graph Pn - K1,m" Iconic Research And Engineering Journals, 3(4)