November 18, 2025International Journal of Foundations of Computer Science

Structure Fault-Tolerant Hamiltonicity of Generalized Base 4-Hypercube Networks

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Hamiltonian cycle exists in generalized base 4-hypercube networks with up to k faulty elements, including vertices and edges, ensuring connectivity.
Results confirm optimal conditions for Hamiltonian paths connecting distinct healthy vertices amid faulty structures.
Approach includes numerical experiments that substantiate the theoretical findings related to fault tolerance in hypercube networks.
Significance lies in improving fault tolerance in distributed computing systems, enhancing overall network reliability.

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Implication

Analysis reveals optimal Hamiltonian cycle and path under faulty conditions in hypercube networks, suggesting enhanced reliability for parallel computing.

Cite This Study

Sabir et al. (2025) studied this question.

synapsesocial.com/papers/692509ddc0ce034ddc3520ee https://doi.org/10.1142/s0129054125500418

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Implication

Analysis reveals optimal Hamiltonian cycle and path under faulty conditions in hypercube networks, suggesting enhanced reliability for parallel computing.

Structure Fault-Tolerant Hamiltonicity of Generalized Base 4-Hypercube Networks

Key Points

Discussion

Implication

Cite This Study

Structure Fault-Tolerant Hamiltonicity of Generalized Base 4-Hypercube Networks

Key Points

Discussion

Implication

Cite This Study

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