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Vertex-Disjoint Paths in a 3-Ary - Cube with Faulty Vertices

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  • Xiaolei Ma
  • Shiying Wang

Abstract

The construction of vertex-disjoint paths (disjoint paths) is an important research topic in various kinds of interconnection networks, which can improve the transmission rate and reliability. The - ary - cube is a family of popular networks. In this paper, we determine that there are disjoint paths in 3-ary - cube covering from to (many-to-many) with and from to (one-to-many) with where is in a fault-free cycle of length three.

Suggested Citation

  • Xiaolei Ma & Shiying Wang, 2020. "Vertex-Disjoint Paths in a 3-Ary - Cube with Faulty Vertices," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-14, August.
  • Handle: RePEc:hin:jnlmpe:3953161
    DOI: 10.1155/2020/3953161
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