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math.CO2023
Cliques in Squares of Graphs with Maximum Average Degree less than 4
Daniel W. Cranston, Gexin Yu
Hocquard, Kim, and Pierron constructed, for every even integer , a 2-degenerate graph with maximum degree such that . We prove for (a) all 2-de…
math.CO2023
A sufficient condition for a hypergraph to have a Berge--factor
Yuping Gao, Songling Shan, Gexin Yu
For any graph (hypergraph) with vertex set and edge set , we define its incidence bipartite graph as the bipartite graph with bipartition , wher…
math.CO2023
Strong edge-coloring of 2-degenerate graphs
Gexin Yu, Rachel Yu
A strong edge-coloring of a graph is an edge-coloring in which every color class is an induced matching, and the strong chromatic index is the minimum number of color…