Conditional (edge-)fault-tolerant strong Menger (edge) connectivity of folded hypercubes

DOI10.1016/j.tcs.2018.03.011zbMath1391.68088OpenAlexW2790195003MaRDI QIDQ1749478

Qi Cheng, Pingshan Li, Min Xu

Publication date: 17 May 2018

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2018.03.011

zbMATH Keywords

connectivityhypercubesfault-tolerancefolded hypercubesstrong Menger connectivitystrong Menger edge connectivity

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Reliability, testing and fault tolerance of networks and computer systems (68M15) Connectivity (05C40)

Related Items (18)

Edge-disjoint paths in faulty augmented cubes ⋮ Fault-Tolerant Maximal Local-Edge-Connectivity of Augmented Cubes ⋮ Edge fault-tolerance of strongly Menger edge connected graphs ⋮ The largest component of faulty star graphs ⋮ Strongly Menger-edge-connectedness of DCell networks ⋮ Subgraph-based Strong Menger Connectivity of Hypercube and Exchanged Hypercube ⋮ The (E)FTSM-(edge) Connectivity of Cayley Graphs Generated by Transposition Trees ⋮ Disjoint paths in the enhanced hypercube with a faulty subgraph ⋮ Fault-Tolerant Strong Menger (Edge) Connectivity of DCC Linear Congruential Graphs ⋮ Strong Menger Connectivity of Folded Hypercubes with Faulty Subcube ⋮ Fault-Tolerance of Star Graph Based on Subgraph Fault Pattern ⋮ Fault-tolerant strong Menger connectivity of modified bubble-sort graphs ⋮ A note on the conditional fault-tolerant strong Menger edge connectivity of regular graphs ⋮ Edge-fault-tolerant strong Menger edge connectivity on regular graphs ⋮ Edge-fault-tolerant strong Menger edge connectivity on the class of hypercube-like networks ⋮ Fault-tolerant strong Menger (edge) connectivity of arrangement graph ⋮ Fault-Tolerant Maximal Local-Connectivity on Cayley Graphs Generated by Transpositions ⋮ Strongly Menger connectedness of data center network and \((n,k)\)-star graph

Cites Work

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• Fault-tolerant maximal local-connectivity on bubble-sort star graphs
• Maximally local connectivity and connected components of augmented cubes
• Strong Menger connectivity with conditional faults on the class of hypercube-like networks
• Extraconnectivity of hypercubes
• On strong Menger-connectivity of star graphs
• Fault-tolerant strong Menger (edge) connectivity and 3-extra edge-connectivity of balanced hypercubes
• Edge disjoint paths in hypercubes and folded hypercubes with conditional faults
• Strong Menger connectivity with conditional faults of folded hypercubes

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