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This is a Quantitative Study study.

October 16, 2025Open Access

Hamiltonian laceability with a set of faulty edges in hypercubes

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A Hamiltonian path exists in hypercubes with up to 4n - 17 faulty edges, ensuring connectivity between vertices.
For two distinct vertices in Qn - F, the conditions require a vertex degree of at least 2 and at most one degree-2 vertex.
The findings clarify how fault tolerance can be achieved in hypercube networks under specific conditions.
This research enhances understanding of network robustness by addressing the implications of faulty edges on connectivity.

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Analysis of Hamiltonian properties in hypercubes with faulty edges reveals conditions for path existence.

Ali et al. (2025) studied this question.

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