Title
Coloring signed graphs using DFS.
Abstract
We show that depth first search can be used to give a proper coloring of connected signed graphs G using at most \(\Delta (G)\) colors, provided G is different from a balanced complete graph, a balanced cycle of odd length, and an unbalanced cycle of even length, thus giving a new, short proof to the generalization of Brooks’ theorem to signed graphs, first proved by Máčajová, Raspaud, and Škoviera.
Year
DOI
Venue
2016
10.1007/s11590-015-0962-8
Optimization Letters
Keywords
Field
DocType
Signed graph, Chromatic number, DFS, Greedy coloring
Edge coloring,Discrete mathematics,Complete coloring,Combinatorics,Signed graph,Chordal graph,Brooks' theorem,Greedy coloring,1-planar graph,Mathematics,Graph coloring
Journal
Volume
Issue
ISSN
10
4
1862-4480
Citations 
PageRank 
References 
2
0.41
1
Authors
2
Name
Order
Citations
PageRank
Tamás Fleiner124127.45
Gábor Wiener26410.65