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Eulerian path
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== See also == * [[Eulerian matroid]], an abstract generalization of Eulerian graphs * [[Five room puzzle]] * [[Handshaking lemma]], proven by Euler in his original paper, showing that any undirected connected graph has an even number of odd-degree vertices * [[Hamiltonian path]] β a path that visits each ''vertex'' exactly once. * [[Route inspection problem]], search for the shortest path that visits all edges, possibly repeating edges if an Eulerian path does not exist. * [[Veblen's theorem]], which states that graphs with even vertex degree can be partitioned into edge-disjoint cycles regardless of their connectivity
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