Question: The complete bipartite graph $K _ { m , n } $ where $m , n geq 1 $ , has $m$ red nodes,

The complete bipartite graph $K_{m,n}$ where $m,n\geq1$, has $m$ red nodes, n blue nodes and has an edge between every red node and every blue node. There are no edges between nodes of the same color. For illustration, here is $K_{3,2}$:

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