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math.CO2024★ 1 cited
Equitable coloring of sparse graphs
Weichan Liu, Xin Zhang
An equitable coloring of a graph is a proper coloring where the sizes of any two distinct color classes differ by at most one. The celebrated Chen-Lih-Wu Conjecture (CLWC for short…
math.CO2024
Cooperative colorings of hypergraphs
Xuqing Bai, Bi Li, Weichan Liu +1
Given a class of hypergraphs with the same vertex set , a cooperative coloring of them is a partition …
math.CO2024
Every subcubic graph is packing -colorable
Xujun Liu, Xin Zhang, Yanting Zhang
For a sequence of non-decreasing integers, a packing -coloring of a graph is a partition of its vertex set into such that fo…