Title
The entire chromatic number of graphs embedded on the torus with large maximum degree.
Abstract
•We prove that a toroidal graph with Δ≥10 is entirely (Δ+2)-colorable.•We establish a structural lemma about toroidal graphs.•We provide a polynomial-time algorithm on entire coloring of toroidal graphs.
Year
DOI
Venue
2017
10.1016/j.tcs.2017.05.018
Theoretical Computer Science
Keywords
Field
DocType
Embedded graph,Torus,Entire coloring,Maximum degree
Edge coloring,Discrete mathematics,Combinatorics,Graph power,Fractional coloring,List coloring,Brooks' theorem,Degree (graph theory),Toroidal graph,Mathematics,Graph coloring
Journal
Volume
ISSN
Citations 
689
0304-3975
1
PageRank 
References 
Authors
0.36
4
4
Name
Order
Citations
PageRank
Xiaoxue Hu174.25
Ping Wang29344.15
Yiqiao Wang349442.81
Weifan Wang486889.92