柳柏濂, 张显坤. 关于线色数的M.GOLDBERG问题[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1988, (4).DOI:
关于线色数的M.GOLDBERG问题
摘要
1980年在Michigan召开的第四届国际图论会议上
与会者提出的十个未解决问题的第八个
是 M.Goldberg关于线色数的下列问题: “Let G be a graph of class two having maximum degree 3. Is it ture that e(G)≥[11v(G)-3]/8?” (1)(在Goldberg提出的第7问题中
己指明e(G)
v(G)分别表G的边数与顶点数
另
二型图是指满足线色数x’(G)=△(G)+1的图G——引者注)。
Abstract
In this paper
we provide a kind of graph which solved the problem on line chromatic number which was offered by M. Goldberg in the International Conference on the Theory and Application of Graph (1980).