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Deciding Graph non-Hamiltonicity via a Closure Algorithm | ||
| Journal of Algorithms and Computation | ||
| مقاله 1، دوره 48، شماره 1، اسفند 2016، صفحه 1-35 اصل مقاله (438.29 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2016.7937 | ||
| نویسندگان | ||
| E. R. Swart1؛ Stephen J. Gismondi* 2؛ N. R. Swart3؛ C. E. Bell4؛ A. Lee2 | ||
| 1Kelowna, British Columbia, Canada | ||
| 2University of Guelph, Canada | ||
| 3University of British Columbia Okanagan, Canada | ||
| 4Guelph, Ontario, Canada | ||
| 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 | ||
| کلیدواژهها | ||
| Hamilton cycle؛ decision problem | ||
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