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《Journal of Hainan Normal University(Natural Science)》 2017-04
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The Edge-gracefulness of Unicyclic Graph

CHEN Shuzhen;XUE Mingxi;School of Mathematics and Statistics,Hainan Normal University;  
Edge-graceful labeling is one kind of graph labeling. The edge-gracefulness of uni-cyclic graphs is investigated in this paper. Three types of uni-cyclic graph,Ω_1( m,2) 、Ω_2( m,2) 和 Ω( m,2) are defined. Edge-graceful labeling of these three types of uni-cyclic graph under some characteristic conditions are given. Then it is demonstrated that these three types of uni-cyclic graph are edge-graceful graph.
【Fund】: 海南省高等学校科研项目(Hnky2016—14)
【CateGory Index】: O157.5
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