Title
Unique-maximum coloring of plane graphs.
Abstract
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.
Year
DOI
Venue
2016
10.7151/dmgt.1846
DISCUSSIONES MATHEMATICAE GRAPH THEORY
Keywords
Field
DocType
plane graph,weak-parity coloring,unique-maximum coloring
Complete coloring,Discrete mathematics,Edge coloring,Combinatorics,Indifference graph,List coloring,Brooks' theorem,Greedy coloring,1-planar graph,Mathematics,Graph coloring
Journal
Volume
Issue
ISSN
36
1
1234-3099
Citations 
PageRank 
References 
3
0.49
3
Authors
2
Name
Order
Citations
PageRank
Igor Fabrici110114.64
Frank Göring2539.00