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《Mathematics in Practice and Theory》 2013-01
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k Signed Edge Domination Numbers in Graphs

XU Bao-gen,DING Zong-peng (School of Natural Science,East China Jiaotong University,Nanchang 330013,China)  
Let G =(V,E)be a graph,a function f:E→{-1,1} is said to be the k signed edge dominating function of G if sum from e'∈N(e)f(e')≥1holds for at least k edges e G E(G).The k signed edge domination numberγ_(ks)~/(G)of Gis defined asγ_(ks)~/(G)=min{Σ_(e∈E(G)) f(e)|f is a k signed edge dominating function of G}.In this paper we mainly give some new lower bounds of the k signed edge domination numberγ_(ks)~/(G)of a graphG,and get the k signed edge domination number for the paths and the cycles.
【Fund】: 国家自然科学基金(11061014);; 江西省自然科学基金(20114BAB201010)
【CateGory Index】: O157.5
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