Open Journal of Discrete Mathematics

Volume 3, Issue 1 (January 2013)

ISSN Print: 2161-7635   ISSN Online: 2161-7643

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Reverse Total Signed Vertex Domination in Graphs

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DOI: 10.4236/ojdm.2013.31011    3,732 Downloads   5,733 Views  
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ABSTRACT

Let be a simple graph with vertex set V and edge set E. A function is said to be a reverse total signed vertex dominating function if for every , the sum of function values over v and the elements incident to v is less than zero. In this paper, we present some upper bounds of reverse total signed vertex domination number of a graph and the exact values of reverse total signed vertex domination number of circles, paths and stars are given.

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W. Li, "Reverse Total Signed Vertex Domination in Graphs," Open Journal of Discrete Mathematics, Vol. 3 No. 1, 2013, pp. 53-55. doi: 10.4236/ojdm.2013.31011.

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