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Deciding Graph non-Hamiltonicity via a Closure Algorithm

E. R. Swart; Stephen J. Gismondi; N. R. Swart; C. E. Bell; A. Lee

Volume 48, Issue 1 , December 2016, , Pages 1-35

https://doi.org/10.22059/jac.2016.7937

Abstract
  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, ...  Read More