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math.CO2021★ 4 cited
Powers of Hamiltonian cycles in multipartite graphs
Louis DeBiasio, Ryan Martin, Theodore Molla
We prove that if is a -partite graph on vertices in which all of the parts have order at most and every vertex is adjacent to at least a proportion of…
math.CO2021★ 1 cited
Transversal -factors in subgraphs of the balanced blow-up of
Beka Ergemlidze, Theodore Molla
For a subgraph of the blow-up of a graph , we let be the smallest minimum degree over all of the bipartite subgraphs of induced by pairs of parts that correspon…