deciding graph non-hamiltonicity via a closure algorithm

نویسندگان

e. r. swart

kelowna, british columbia, canada stephen j. gismondi

university of guelph, canada n. r. swart

university of british columbia okanagan, canada c. e. bell

guelph, ontario, canada a. lee

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

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Deciding Graph non-Hamiltonicity via a Closure Algorithm

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عنوان ژورنال:
journal of algorithms and computation

جلد ۴۸، شماره ۱، صفحات ۱-۳۵

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