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math.CO2023
Truncated degree DP-colourability of -minor free graphs
On-Hei Solomon Lo, Cheng Wang, Huan Zhou +1
Assume is a graph and is a positive integer. Let from to be defined as is the minimum of and . If is -DP-colourable (respectively, $…
math.CO2023★ 1 cited
Arc weighted acyclic orientations and variations of degeneracy of graphs
Huan Zhou, Jialu Zhu, Xuding Zhu
This paper studies generalizations of the concept of acyclic orientations to arc-weighted orientations. These lead to four types of variations of strict degeneracy of graphs. Some…
math.CO2023
Weak degeneracy of planar graphs and locally planar graphs
Ming Han, Tao Wang, Jianglin Wu +2
Weak degeneracy is a variation of degeneracy which shares many nice properties of degeneracy. In particular, if a graph is weakly -degenerate, then for any -list as…