An Improved Approximation Algorithm for the Capacitated TSP with Pickup and Delivery on a Tree

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Abstract

This article introduces a new family of Cayley graphs, called k-degree Cayley graphs, for building interconnection networks. The k-degree Cayley graph possesses many valuable topological properties, such as regularity with degree k, logarithmic diameter, and maximal fault tolerance. We present an optimal shortest path routing algorithm for the k-degree Cayley graph. Cycle- embedding and clique-embedding are also discussed.

Author-supplied keywords

  • embedding
  • graph-theoretic interconnection networks
  • network topology
  • shortest path routing algorithm
  • topological properties

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