A new lower bound on the order of a critical edge-chromatic graph with given small girth

被引：0
|
作者：
Haile, D [1 ]
机构：
[1] SO ILLINOIS UNIV,DEPT MATH,CARBONDALE,IL 62901
来源：
UTILITAS MATHEMATICA | 1996年 / 49卷
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A graph is of class 2 if its edge-chromatic index is greater than its maximum degree. A class 2 graph G is critical edge-chromatic if the removal of any edge reduces its chromatic index. f(k,g) represents the minimum possible number of vertices in a critical graph of maximum degree k and girth g. We shall prove that 23 less than or equal to f(3, 7) less than or equal to 25.
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页码：97 / 152
页数：56
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