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arXiv · 2111.14771

A fast algorithm on average for solving the Hamilton Cycle problem

Michael Anastos
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Abstract

We present CertifyHAM, an algorithm which takes as input a graph G and either finds a Hamilton cycle of G or it outputs that such a cycle does not exists. If G=G(n, p) and p >2000/n then the expected running time of CertifyHAM is O(n/p). This improves upon previous results due to Gurevich and Shelah, Thomason and Alon and Krivelevich.

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Michael Anastos. 2022-10-16. A fast algorithm on average for solving the Hamilton Cycle problem. https://arxiv.org/abs/2111.14771

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