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Volume & Issue no: Volume 6, Issue 2, March - April 2017

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Title:
DISTANCE k-DOMINATION PARAMETER OF SOME GRAPHS AND ITS REALISATION
Author Name:
B.Stephen John, C.T.Brigitha
Abstract:
ABSTRACT: A set D ⊆ V is called a distance k-dominating set of G if each vertex v ∈V(G) −D is within distance k from some vertex of D. The distance k-dominating set of the graph G is denoted by Dk(G) and the distance k-domination number of G is denoted by γk(G) is the minimum cardinality over all distance k-dominating sets. In this paper we established a general formulae for finding the k-dominating set of some graphs such as (Cn)r, (Pn)r, (Cn × Pm) and rth power of the centipede graph with ‘2n’ vertices. Keywords: Dominating set, Domination number, Distance k- dominating set, Tensor Product.
Cite this article:
B.Stephen John, C.T.Brigitha , " DISTANCE k-DOMINATION PARAMETER OF SOME GRAPHS AND ITS REALISATION" , International Journal of Emerging Trends & Technology in Computer Science (IJETTCS) , Volume 6, Issue 2, March - April 2017 , pp. 136-138 , ISSN 2278-6856.
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International Journal of Emerging Trends & Technology in Computer Science (IJETTCS)
ISSN 2278-6856
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