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两类联图的边色数
引用本文:莫明忠.两类联图的边色数[J].洛阳师范学院学报,2013,32(2):7-10.
作者姓名:莫明忠
作者单位:柳州师范高等专科学校数学与计算机科学系,广西柳州,545004
摘    要:两个不交图G与H的联G+H是指顶点集为V(G)∪V(H),边集为E(G)∪E(H)∪{xy|x∈V(G),y∈V(H)}的图.证明了当n=m+1时,联图Om+Cn是第二类图,否则,Om+Cn是第一类图;当|n-m|=1时,联图Cm+Cn是第二类图,否则,Cm+Cn是第一类图.

关 键 词:  联图  边着色  边色数

The Chromatic Index of Two Kinds of Join Graphs
MO Ming-zhong.The Chromatic Index of Two Kinds of Join Graphs[J].Journal of Luoyang Teachers College,2013,32(2):7-10.
Authors:MO Ming-zhong
Institution:MO Ming-zhong(Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou 545004,China)
Abstract:The join G + Hof two disjoint graphs G and H is the graph having vertex set V(G) U V(H) and edge set E(G) U E(H) U {xy |x ∈ V(G) ,y ∈ V(H) }. In this paper we prove that ifn = m + 1 , then the join graph Om + Cn is class two, the rest is class one ; if | n - m | = 1 , then the join graph Cm + Cn is class two, the rest is class one.
Keywords:graph  join graph  edge-coloring  chromatic index
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