极大外平面图边面全色数的注记

摘要

设G是2-连通的平面图.证明了若G是最大度Δ(G)=5的极大外平面图，则其边面全色数χef(G)=5.%Let G be a 2-connected planar graph, let χef(G) be the edge-facetotal chromatic number of G. In this paper, we prove χef(G)=5 for a maximal outerplanar graph G with Δ(G)=5.