Geodesic pancyclicity and balanced pancyclicity of the generalized base-\(b\) hypercube

DOI10.1016/j.dam.2011.10.018zbMath1239.05104OpenAlexW1975765907MaRDI QIDQ412364

Chien-Hung Huang, Jywe-Fei Fang

Publication date: 4 May 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2011.10.018

zbMATH Keywords

interconnection networksbalanced pancyclicitygeneralized base-\(b\) hypercubesweakly geodesic pancyclicity

Mathematics Subject Classification ID

Network design and communication in computer systems (68M10) Hypergraphs (05C65) Paths and cycles (05C38)

Cites Work

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• Geodesic pancyclicity and balanced pancyclicity of augmented cubes
• Node-pancyclicity and edge-pancyclicity of hypercube variants
• The pancyclicity and the Hamiltonian-connectivity of the generalized base-\(b\) hypercube
• Geodesic-pancyclicity and fault-tolerant panconnectivity of augmented cubes
• Edge-pancyclicity of Möbius cubes
• Pancyclicity of recursive circulant graphs
• Vertex 6-pancyclic in-tournaments
• Vertex-pancyclicity of edge-face-total graphs
• Task assignment in heterogeneous computing systems
• Panconnectivity of locally twisted cubes
• Geodesic-pancyclic graphs
• Hamiltonian properties on the class of hypercube-like networks
• The \(m\)-pancycle-connectivity of a WK-recursive network
• Cycles in folded hypercubes
• Complete path embeddings in crossed cubes
• Panconnectivity, fault-tolerant hamiltonicity and hamiltonian-connectivity in alternating group graphs

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