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paths on a graph that visit each vertex exactly once

6 votes
1 answer
95 views

Existence of a 2-labelled Hamiltonian Path decomposition of $K_{2n}$

I am trying to see if, for the complete graph $K_{2n}$, there exists a labelling of the vertices with two labels $a$ and $b$ (each used exactly $n$ times), such that we can decompose the graph into $n …
Alice J.'s user avatar
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