Title
DP-colorings of graphs with high chromatic number.
Abstract
DP-coloring is a generalization of list coloring introduced recently by Dvořák and Postle (2015). We prove that for every n-vertex graph G whose chromatic number χ(G) is “close” to n, the DP-chromatic number of G equals χ(G). “Close” here means χ(G)≥n−O(n), and we also show that this lower bound is best possible (up to the constant factor in front of n), in contrast to the case of list coloring.
Year
DOI
Venue
2017
10.1016/j.ejc.2017.05.007
European Journal of Combinatorics
Field
DocType
Volume
Discrete mathematics,Graph,Complete coloring,Combinatorics,Chromatic scale,Upper and lower bounds,Vertex (graph theory),List coloring,Mathematics
Journal
65
Issue
ISSN
Citations 
C
0195-6698
3
PageRank 
References 
Authors
0.42
4
3
Name
Order
Citations
PageRank
Anton Bernshteyn1213.37
Alexandr V. Kostochka268289.87
Xuding Zhu31883190.19