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单圈图的边优美性 被引量:1

The Edge-gracefulness of Unicyclic Graph
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摘要 边优美标号是图标号中的一种.文章主要研究了单圈图的边优美问题,定义了三类单圈图Ω_1(m,2)、Ω_2(m,2)和Ω(m,2),给出了这三类图在一定条件下的边优美标号,从而证明了它们是边优美图. 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,Ω1(m ,2 )Ω2 (m ,2 ) 和Ω(m ,2 ) are defined. Edge-graceful labeling of thesethree 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.
出处 《海南师范大学学报(自然科学版)》 CAS 2017年第4期388-390,395,共4页 Journal of Hainan Normal University(Natural Science)
基金 海南省高等学校科研项目(Hnky2016-14)
关键词 单圈图 边优美图 边优美标号 uni-cyclic graph edge-graceful graph edge-graceful labeling
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