IJERT-EMS
IJERT-EMS

Dominating Functions in Semigraphs


Dominating Functions in Semigraphs
Authors : Dr. Shailaja S. Shirkol, Dr. Prabhakar R. Hampiholi, Smt. Meenal M. Kaliwal
Publication Date: 01-02-2016

Authors

Author(s):  Dr. Shailaja S. Shirkol, Dr. Prabhakar R. Hampiholi, Smt. Meenal M. Kaliwal

Published in:   International Journal of Engineering Research & Technology

License:  This work is licensed under a Creative Commons Attribution 4.0 International License.

Website: www.ijert.org

Volume/Issue:   Volume. 5 - Issue. 02 , February - 2016

e-ISSN:   2278-0181

 DOI:  http://dx.doi.org/10.17577/IJERTV5IS020004

Abstract

Let 𝑮=(𝑽,𝑿) be a semigraph. A function 𝒇𝒂:𝑽(𝑮)→{−𝟏,𝟏} and 𝒘𝒂(𝒇)=Σ𝒇𝒂(𝒗)𝒗∈𝑽 then the function 𝒇𝒂 is a signed adjacent dominating function for the semigraph 𝑮 if for every vertex 𝒗∈𝑽, 𝒇𝒂[𝒗]≥𝟏. The signed adjacent domination number of a semigraph 𝑮 denoted by 𝜸𝒔𝒂(𝑮) is the minimum weight of a signed adjacent dominating function on 𝑮. In this paper, we study the properties of signed adjacent dominating function for a class of semigraphs and present their signed adjacenct domination number.

Citations

Number of Citations for this article:  Data not Available

Keywords

Key Word(s):    

Downloads

Number of Downloads:     207
Similar-Paper

Call for Papers - May - 2017

        

 

                 Call for Thesis - 2017 

     Publish your Ph.D/Master's Thesis Online

              Publish Ph.D Master Thesis Online as Book