What question did this study set out to answer?

This research aims to establish conditions under which Hamiltonian cycles exist in folded hypercubes with faulty edges.

Hamiltonian Cycles in Folded Hypercubes with Faulty Edges

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Randomized trial demonstrates the existence of Hamiltonian cycles in folded hypercubes with faulty edges, indicating structural resilience.

This research aims to establish conditions under which Hamiltonian cycles exist in folded hypercubes with faulty edges.
Analyzed graph structures of folded hypercubes with faulty edges.
Defined conditions for vertex degree and fault tolerance.
Proved the existence of Hamiltonian cycles under specified constraints.
Hamiltonian cycles exist in folded hypercubes with at least one degree-2 vertex present.
Every vertex maintains a degree of at least 2, ensuring cycle formation.
Identified specific configurations leading to cycle sustainability.

Wang et al. (2026) studied this question.

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Randomized trial demonstrates the existence of Hamiltonian cycles in folded hypercubes with faulty edges, indicating structural resilience.