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An Euler tour cycle of a strongly connected graph .pdf

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An Euler tour (cycle) of a strongly connected graph = (, ) is a cycle that traverses each edge of G exactly once, although it may visit a vertex more than once. a. Show that G has an Euler tour if and only if the degree of every vertex is even. b. Is this problem unsolvable, intractable, or tractable? Justify your answers..

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An Euler tour (cycle) of a strongly connected graph = (, ) is a cycle that traverses each edge of G exactly once, although it may visit a vertex more than once. a. Show that G has an Euler tour if and only if the degree of every vertex is even. b. Is this problem unsolvable, intractable, or tractable? Justify your answers.

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An Euler tour cycle of a strongly connected graph .pdf

  • 1. An Euler tour (cycle) of a strongly connected graph = (, ) is a cycle that traverses each edge of G exactly once, although it may visit a vertex more than once. a. Show that G has an Euler tour if and only if the degree of every vertex is even. b. Is this problem unsolvable, intractable, or tractable? Justify your answers.