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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

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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 …
Todor Antic's user avatar