Question: Please don't hand write. The complete bipartite graph Km, where m, n E 1, has 17.: red nodes, n blue nodes and has an edge

Please don't hand write.

$Please don't hand write. The complete bipartite graph Km,\" where m, n$

The complete bipartite graph Km,\" where m, n E 1, has 17.: red nodes, n blue nodes and has an edge between every red node and ever},r blue node. There are no edges between nodes of the same color. For illustration, here is K33: B B R R R [a] Let D be the number of edges of Km,\" that we have to delete from the graph to obtain a spanning tree. Prove that D is divisible by m 1. {b} Assume that m 3* n. Prove that the length of a longest path in Kmm is even

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