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Two classes of edge domination in graphs
Authors:Baogen Xu
Institution:Department of Mathematics, East China Jiaotong University, Nanchang 330013, PR China
Abstract:Let View the MathML source (View the MathML source, resp.) be the number of (local) signed edge domination of a graph G B. Xu, On signed edge domination numbers of graphs, Discrete Math. 239 (2001) 179-189]. In this paper, we prove mainly that View the MathML source and View the MathML source hold for any graph G of order n(n?4), and pose several open problems and conjectures.
Keywords:Local signed edge domination function  Local signed edge domination number  Signed edge domination function  Signed edge domination number
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