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On Signed Edge Total Domination Numbers of Graphs 被引量:6

On Signed Edge Total Domination Numbers of Graphs
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摘要 Let G = (V,E) be a graph.A function f : E → {-1,1} is said to be a signed edge total dominating function (SETDF) of G if e ∈N(e) f(e ) ≥ 1 holds for every edge e ∈ E(G).The signed edge total domination number γ st (G) of G is defined as γ st (G) = min{ e∈E(G) f(e)|f is an SETDF of G}.In this paper we obtain some new lower bounds of γ st (G). Let G = (V,E) be a graph.A function f : E → {-1,1} is said to be a signed edge total dominating function (SETDF) of G if e ∈N(e) f(e ) ≥ 1 holds for every edge e ∈ E(G).The signed edge total domination number γ st (G) of G is defined as γ st (G) = min{ e∈E(G) f(e)|f is an SETDF of G}.In this paper we obtain some new lower bounds of γ st (G).
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第2期209-214,共6页 数学研究与评论(英文版)
基金 Supported by the National Natural Science Foundation of China (Grant No. 11061014)
关键词 signed edge total dominating function signed edge total domination number edge degree signed edge total dominating function signed edge total domination number edge degree
作者简介 Corresponding author E-mail address: zhaojinfeng009@163.comCorresponding author E-mail address:baogenxu@163.com
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