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arXiv · 2310.05427

Emergent chaotic iterations in hard sparse instances of hamiltonian path problem

Cicero A. de Lima
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Abstract

A hamiltonian path is a path walk P that can be a hamiltonian path or hamiltonian circuit. Determining whether such hamiltonian path exists in a given graph G = (V, E) is a NP-Complete problem. In this paper, a novel algorithm with chaotic behaviour for hamiltonian path problem is proposed. We show that our algorithm runs in $O(V^5(V + E))$ for hard sparse instances from FHCP challenge dataset.

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Cicero A. de Lima. 2023-10-09. Emergent chaotic iterations in hard sparse instances of hamiltonian path problem. https://arxiv.org/abs/2310.05427

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