Unique-Maximum Coloring Of Plane Graphs

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 of G, the maximum color occurs exactly once on the vertices of α. We prove that any plane graph is unique-maximum 3-colorable and has a proper unique-maximum coloring wi...

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Bibliographic Details
Main Authors: Fabrici Igor, Göring Frank
Format: Article
Language:English
Published: Sciendo 2016-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:http://www.degruyter.com/view/j/dmgt.2016.36.issue-1/dmgt.1846/dmgt.1846.xml?format=INT