UNIQUE-MAXIMUM COLORING OF PLANE GRAPHS

被引：16
|
作者：
Fabrici, Igor [1 ]
Goering, Frank [2 ]
机构：
[1] Safarik Univ, Inst Math, Kosice, Slovakia
[2] Tech Univ Chemnitz, Fak Math, Chemnitz, Germany
来源：
DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2016年 / 36卷 / 01期
关键词：
plane graph; weak-parity coloring; unique-maximum coloring; CONFLICT-FREE COLORINGS; HYPERGRAPHS;
D O I：
10.7151/dmgt.1846
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A unique-maximum k-coloring with respect to faces of a plane graph G is a coloring with colors 1, ..., k so that, for each face a of G, the maximum color occurs exactly once on the vertices of a. We prove that any plane graph is unique-maximum 3-colorable and has a proper unique-maximum coloring with 6 colors.
引用
收藏
页码：95 / 102
页数：8
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