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Neighbor connectivity of k-ary n-cubes

Author

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  • Dvořák, Tomáš
  • Gu, Mei-Mei

Abstract

The neighbor connectivity of a graph G is the least number of vertices such that removing their closed neighborhoods from G results in a graph that is disconnected, complete or empty. If a graph is used to model the topology of an interconnection network, this means that the failure of a network node causes failures of all its neighbors. We completely determine the neighbor connectivity of k-ary n-cubes for all n ≥ 1 and k ≥ 2.

Suggested Citation

  • Dvořák, Tomáš & Gu, Mei-Mei, 2020. "Neighbor connectivity of k-ary n-cubes," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    • Handle: RePEc:eee:apmaco:v:379:y:2020:i:c:s009630032030206x
    DOI: 10.1016/j.amc.2020.125237
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