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Z. Zhang, B. Xu, Y. Li and L. Liu, “A Note on the Lower Bounds of Signed Domination Number of a Graph,” Discrete Mathematics, Vol. 195, No. 1, 1999, pp. 295-298. doi:10.1016/S0012-365X(98)00189-7

has been cited by the following article:

• TITLE: Reverse Total Signed Vertex Domination in Graphs

  AUTHORS: Wensheng Li

  KEYWORDS: Reverse Total Signed Vertex Domination; Upper Bounds; Complete Bipartite Graph

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.1, January 29, 2013

  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.