IJPAM: Volume 112, No. 5 (2017)

Title

VERTEX-EDGE MIXED DOMINATION ON
$S-$VALUED GRAPHS

Authors

S. Kiruthiga Deepa$^1$, M. Chandramouleeswaran$^2$
$^1$Bharath Niketan College of Engineering
Aundipatti, 625536, Tamilnadu, INDIA
$^2$Saiva Bhanu Kshatriya College
Aruppukottai, 626101, Tamilnadu, INDIA

Abstract

Recently we studied the notion of edge domination on $S-$ valued graphs $G^S.$ In this paper we study mixed domination on $S-$ valued graph. That is we introduce the notion of mixed domination, denoted by$m-$ domination of any vertex of $G^S$ dominating any other edge in $G^S$ and study some simple properties of $m-$ domination in $G^S.$

History

Received: December 28, 2016
Revised: January 20, 2017
Published: March 30, 2017

AMS Classification, Key Words

AMS Subject Classification: 05C25, 16Y60
Key Words and Phrases: semirings, graphs, $S-$valued graphs, ve weight m-dominating set

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Bibliography

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Jonathan Golan Semirings and Their Applications, Kluwer Academic Publishers, London.

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Jeyalakshmi.S and Chandramouleeswaran.M: Vertex domination on $S-$ Valued graphs,IOSR - Journal of mathematics IOSR Journal of Mathematics. e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 12, Issue 5 Ver. IV, PP 08-12

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Jeyalakshmi.S, Rajkumar.M, and Chandramouleeswaran.M: Regularity on $S-$Graphs, Global Journal of Pure and Applied Mathematics. ISSn 0973-1768 Volume 11, Number 5 (2015), pp. 2971-2978

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How to Cite?

DOI: 10.12732/ijpam.v112i5.16 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 5
Pages: 139 - 147


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