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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

5 votes
1 answer
295 views

Eulerian trails in complete graphs

Assume that for some odd $n$ we have a complete graph $K_n$. Is it possible to always find Eluerian trail on $K_n$ such that if we have visited vertices $axb$ then we never before nor after visit $ayb …