A new closure concept preserving graph Hamiltonicity and based on neighborhood equivalence

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deciding graph non-hamiltonicity via a closure algorithm

we present a matching and lp based heuristic algorithm that decides graph non-hamiltonicity. each of the n! hamilton cycles in a complete directed graph on n + 1 vertices corresponds with each of the n! n-permutation matrices p, such that pu,i = 1 if and only if the ith arc in a cycle enters vertex u, starting and ending at vertex n + 1. a graph instance (g) is initially coded as exclusion set ...

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Deciding Graph non-Hamiltonicity via a Closure Algorithm

We present a matching and LP based heuristic algorithm that decides graph non-Hamiltonicity. Each of the n! Hamilton cycles in a complete directed graph on n+ 1 vertices corresponds with each of the n! n-permutation matrices P , such that pu,i = 1 if and only if the ith arc in a cycle enters vertex u, starting and ending at vertex n+ 1. A graph instance (G) is initially coded as exclusion set E...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2011

ISSN: 0012-365X

DOI: 10.1016/j.disc.2010.11.008