J. E. Dunbar, S. T. Hedetniemi, M. A. Henning and P. J. Slater, “Signed Domination in Graphs,” Combinatorics, Graph Theory, Applications, Vol. 1, 1995, pp. 311-322.
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.