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Packing four copies of a tree into a complete bipartite graph

Liqun PuYuan TangXiaoli Gao — 2022

Czechoslovak Mathematical Journal

In considering packing three copies of a tree into a complete bipartite graph, H. Wang (2009) gives a conjecture: For each tree T of order n and each integer k 2 , there is a k -packing of T in a complete bipartite graph B n + k - 1 whose order is n + k - 1 . We prove the conjecture is true for k = 4 .

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