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On Vertex Covering Transversal Domination Number of Regular Graphs.


ABSTRACT: A simple graph G = (V, E) is said to be r-regular if each vertex of G is of degree r. The vertex covering transversal domination number γ vct(G) is the minimum cardinality among all vertex covering transversal dominating sets of G. In this paper, we analyse this parameter on different kinds of regular graphs especially for Q n and H 3,n. Also we provide an upper bound for γ vct of a connected cubic graph of order n ≥ 8. Then we try to provide a more stronger relationship between γ and γ vct.

SUBMITTER: Vasanthi R 

PROVIDER: S-EPMC4828551 | biostudies-other | 2016

REPOSITORIES: biostudies-other

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