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math.CO2023
Equitable list coloring of planar graphs with given maximum degree
H. A. Kierstead, Alexandr Kostochka, Zimu Xiang
If is a list assignment of colors to each vertex of an -vertex graph , then an equitable -coloring of is a proper coloring of vertices of from their lists…
math.CO2023
Equitable coloring of planar graphs with maximum degree at least eight
Alexandr Kostochka, Duo Lin, Zimu Xiang
The Chen-Lih-Wu Conjecture states that each connected graph with maximum degree that is not the complete graph or the complete bipartite graph admits…
math.CO2023
Tiling edge-ordered graphs with monotone paths and other structures
Igor Araujo, Simón Piga, Andrew Treglown +1
Given graphs and , a perfect -tiling in is a collection of vertex-disjoint copies of in that together cover all the vertices in . The study of the minimum…