Distance formula and shortest paths for the \((n,k)\)-star graphs

DOI10.1016/j.ins.2010.01.016zbMath1203.05042OpenAlexW2073003370MaRDI QIDQ975861

Eddie Cheng, Zhizhang Shen, László Lipták, Jerrold W. Grossman, Ke Qiu

Publication date: 11 June 2010

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2010.01.016

zbMATH Keywords

distance formulashortest paths(\(n,k\))-star graphspath enumeration

Mathematics Subject Classification ID

Paths and cycles (05C38) Distance in graphs (05C12)

Related Items (7)

On the problem of determining which \((n, k)\)-star graphs are Cayley graphs ⋮ Fault-tolerance of \((n, k)\)-star networks ⋮ The number of shortest paths in the (n, k)-star graph ⋮ Conditional fault-tolerant routing of (n,k)-star graphs ⋮ The number of shortest paths in the arrangement graph ⋮ The panpositionable panconnectedness of augmented cubes ⋮ Maximum independent sets partition of \((n, k)\)-star graphs

Cites Work

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• There is no optimal routing policy for the torus.
• Higher dimensional hexagonal networks
• Constructing vertex-disjoint paths in \((n, k)\)-star graphs
• Robustness of star graph network under link failure
• Maximally connected digraphs
• TOPOLOGICAL PROPERTIES OF THE (n,k)-STAR GRAPH

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