On the chromatic index of almost all graphs
نویسندگان
چکیده
Vizing has shown that if G is a simple graph with maximum vertex-degree p, then the chromatic index of G is either p or p + 1 . In this note we prove that almost all graphs have a unique vertex of maximum degree, and we deduce that almost all graphs have chromatic index equal to their maximum degree . This settles a conjecture of the second author (in "Proceedings of the Fifth British Combinatorial Conference 1975") .
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عنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 23 شماره
صفحات -
تاریخ انتشار 1977