Product-closed networks

Khaled Day*, Abdel Elah Al-Ayyoub

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We present a uniform mathematical characterization of interconnection network classes referred to as product-dosed networks (PCN). A number of popular network classes fall under this characterization including binary hypercubes, tori, k-ary n-cubes, meshes, and generalized hypercubes. An unlimited number of other networks can be defined using the presented mathematical characterization. An important common feature for all PCN classes is their closure under the Cartesian product of graphs. This provides a tool for generating new PCN classes of interconnection graphs. We evaluate a number of commonly used metrics for all PCN networks including the size, degree, diameter, average distance, connectivity, and fault diameter. We show how all PCN networks share various desirable properties such as simple distributed routing, hierarchical structure, complete sets of node-disjoint paths between arbitrary nodes, attractive embeddings, distributed broadcasting, and fault tolerance properties. The proposed characterization provides a unified model for representing and further analyzing the various known PCN networks, and for building new ones with predetermined properties and characteristics.

Original languageEnglish
Pages (from-to)323-338
Number of pages16
JournalJournal of Systems Architecture
Issue number4
Publication statusPublished - Dec 1 1998


  • Broadcasting
  • Cartesian product of graphs
  • Embedding
  • Hierarchical structure
  • Interconnection networks
  • Node-disjoint paths
  • Routing

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture


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