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On Stratification and Domination in Prisms

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Date

2011

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Abstract

A graph G is 2-stratified if its vertex set partitioned into two color classes. We color the vertices in one color class red and the other class blue. Let F be a 2-stratified graph with one fixed blue vertex v specified. We say that F is rooted at v. The F-domination number of a graph G is the minimum number of red vertices of G in a red- blue coloring of the vertices of G such that every blue vertex v of G belongs to a copy of F rooted at v. In this paper we investigate the F- domination number of prisms when F is 2-stratified 6-cycle rooted at a blue vertex. And we get a new generalization result of stratified domination number for prisms.

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Keywords

Cycle, Domination, Prism, Stratification

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N/A

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Source

Applied Mathematical Sciences

Volume

5

Issue

1-4

Start Page

203

End Page

211