deciding graph non-hamiltonicity via a closure algorithm
نویسندگان
چکیده
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, whose members are pairs of components of p, {pu,i, pv,i+1}, i = 1, n - 1, for each arc (u, v) not in
منابع مشابه
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 ...
متن کاملDeciding 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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عنوان ژورنال:
journal of algorithms and computationجلد ۴۸، شماره ۱، صفحات ۱-۳۵
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