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几类特殊的M2-等可覆盖图
引用本文:张玉琴,兰文华.几类特殊的M2-等可覆盖图[J].天津大学学报(自然科学与工程技术版),2009,42(1):83-85.
作者姓名:张玉琴  兰文华
作者单位:张玉琴,ZHANG Yu-qin(天津大学理学院,天津,300072);兰文华,LAN Wen-hua(河北师范大学数学与信息科学学院,石家庄,050016)  
摘    要:若图G的每个极小H-覆盖都是它的最小H-覆盖,则称图G为H-等可覆盖的.得出了M2-等可覆盖图的必要条件,并刻画了以下几类特殊M2-等可覆盖图的特征:匹配、路、圈、完全图、完全二部图、轮图和扇图.

关 键 词:H-覆盖  H-可分解图  H-等可覆盖图

Some Special Mz-Equicoverable Graphs
ZHANG Yu-qin,LAN Wen-hua.Some Special Mz-Equicoverable Graphs[J].Journal of Tianjin University(Science and Technology),2009,42(1):83-85.
Authors:ZHANG Yu-qin  LAN Wen-hua
Institution:ZHANG Yu-qin, LAN Wen-hua ( 1. School of Sciences, Tianjin University, Tianjin 300072, China; 2. School of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China)
Abstract:A graph G is H-equicoverable if every minimal H-covering in G is also its minimum H-covering. In this paper, necessary conditions for M2-equicoverable graphs are provided and several special M2-equicoverable graphs are characterized. They are matching, path, cycle, complete graph, complete bipartite graph, wheel and fan.
Keywords:H-covering  H-decomposable graph  H-equicoverable graph
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