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Some upper bounds on the total and list chromatic numbers of multigraphs. (English) Zbl 0814.05038
Summary: We discuss some estimates for upper bounds on a number of chromatic parameters of a multigraph. In particular, we show that the total chromatic number for an $$n$$-order multigraph exceeds the chromatic index by the smallest $$t$$ such that $$t!> n$$.

##### MSC:
 05C15 Coloring of graphs and hypergraphs 05C35 Extremal problems in graph theory
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##### References:
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