3 papers
math.CO2018
DP-3-coloring of planar graphs without -cycles and two cycles from
Runrun Liu, Sarah Loeb, Martin Rolek +2
A generalization of list-coloring, now known as DP-coloring, was recently introduced by Dvořák and Postle. Essentially, DP-coloring assigns an arbitrary matching between lists of c…
math.CO2018
Planar graphs without cycles of lengths 4 and 5 and close triangles are DP-3-colorable
Yuxue Yin, Gexin Yu
Montassier, Raspaud, and Wang (2006) asked to find the smallest positive integers and such that planar graphs without -cycles and are -choosabl…
math.CO2018
DP-3-coloring of some planar graphs
Runrun Liu, Sarah Loeb, Yuxue Yin +1
In this article, we use a unified approach to prove several classes of planar graphs are DP--colorable, which extend the corresponding results on -choosability.