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两种m重-四角链图的优美性
引用本文:徐云. 两种m重-四角链图的优美性[J]. 百色学院学报, 2007, 20(3): 51-54
作者姓名:徐云
作者单位:广西师范学院,数学与计算机系,广西南宁,530001
基金项目:国家自然科学基金(60563008)资助项目,广西自然科学基金(桂科自0640037)资助项目
摘    要:刘春峰等证明了A型m重—四角链图、B型m重—四角链图的k—优美性及序列性。文章给出了另一种优美标号(也是k—优美标号),且在此标号下证得了这两种m重—四角链图是交错图,且具有奇优美性及平衡性。

关 键 词:交错图  奇优美  平衡标号
文章编号:1673-8233(2007)03-0051-04
修稿时间:2007-03-13

Gracefulness of Two Kinds of M-quadrangular Cactus
XU Yun. Gracefulness of Two Kinds of M-quadrangular Cactus[J]. , 2007, 20(3): 51-54
Authors:XU Yun
Affiliation:Department of Mathematics and Computer Science, Guangx Teachers Education University, Nanning 530001 ,China
Abstract:LIU Chun-feng and others have proved the K-gracefulness and sequential features of M-quadrangular cactus of both A Type and B Type.In this paper,we provide another graceful labeling(also k-gracefulness labeling),with which we can prove that the two M-quadrangular cactus are alternating graphs with odd gracefulness and equilibrium.
Keywords:alternating graphs  odd gracefulness  balanced labeling
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