Title
Sharp Dirac's theorem for DP-critical graphs.
Abstract
Correspondence coloring, or DP-coloring, is a generalization of list coloring introduced recently by Dvoak and Postle [11]. In this article, we establish a version of Dirac's theorem on the minimum number of edges in critical graphs [9] in the framework of DP-colorings. A corollary of our main result answers a question posed by Kostochka and Stiebitz [15] on classifying list-critical graphs that satisfy Dirac's bound with equality.
Year
DOI
Venue
2018
10.1002/jgt.22227
JOURNAL OF GRAPH THEORY
Keywords
Field
DocType
critical graphs,DP-coloring,list coloring
Graph,Discrete mathematics,Combinatorics,List coloring,Dirac (video compression format),Corollary,Mathematics
Journal
Volume
Issue
ISSN
88.0
3.0
0364-9024
Citations 
PageRank 
References 
5
0.51
8
Authors
2
Name
Order
Citations
PageRank
Anton Bernshteyn1213.37
Alexandr V. Kostochka268289.87