Title
On simultaneous colorings of embedded graphs
Abstract
In this paper, it is shown that if the maximum degree Δ of a graph is large relative to the genus of the embedding than the edge-face chromatic number of the graph is at most Δ+1 and its vertex-edge-face chromatic number is at most Δ+2 . Both results are best possible.
Year
DOI
Venue
2000
10.1016/S0012-365X(00)00064-9
Discrete Mathematics
Keywords
Field
DocType
simultaneous colorings,graph: coloring,discharging,surface,embedded graph,maximum degree,graph,graph coloring
Edge coloring,Discrete mathematics,Combinatorics,Foster graph,Friendship graph,Degree (graph theory),Brooks' theorem,Petersen graph,Windmill graph,Butterfly graph,Mathematics
Journal
Volume
Issue
ISSN
224
1-3
Discrete Mathematics
Citations 
PageRank 
References 
3
0.60
0
Authors
2
Name
Order
Citations
PageRank
Daniel P. Sanders147145.56
John Maharry2757.85