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math.CO2024
Vertex-distinguishing and sum-distinguishing edge coloring of regular graphs
Yuping Gao, Songling Shan, Guanghui Wang
Given an integer , an edge--coloring of a graph is an assignment of colors to the edges of such that no two adjacent edges receive the same color…
math.CO2024
Linear arboricity of robust expanders
Yuping Gao, Songling Shan
In 1980, Akiyama, Exoo, and Harary conjectured that any graph can be decomposed into at most linear forests. We confirm the conjecture for robust expan…