Study of Patterns of Connectivity in Hypercube Interconnection Network Through Number theoretic notation

  • Unique Paper ID: 152823
  • Volume: 8
  • Issue: 4
  • PageNo: 496-502
  • Abstract:
  • This paper aims at revealing connectivity properties of the n- bit hypercube interconnection network by using the binary gray coding indexing scheme to label the processing nodes of the hypercube and then using the complement gray code strategy to disclose some useful connectivity patterns in the hypercube. Here we use the beauty of binary number theoretic notation and un-weighted gray code to study the patterns.

Copyright & License

Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{152823,
        author = {Rakesh Kumar Katare and Ritu Mishra and Neha Singh and Sunil Tiwari },
        title = {Study of Patterns of Connectivity in Hypercube Interconnection Network Through Number theoretic notation},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {8},
        number = {4},
        pages = {496-502},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=152823},
        abstract = {This paper aims at revealing connectivity properties of the n- bit hypercube interconnection network by using the binary gray coding indexing scheme to label the processing nodes of the hypercube and then using the complement gray code strategy to disclose some useful connectivity patterns in the hypercube. Here we use the beauty of binary number theoretic notation and un-weighted gray code to study the patterns. },
        keywords = {Hypercube, gray code, 2-bit complement matrix, Processor adjacency matrix },
        month = {},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 8
  • Issue: 4
  • PageNo: 496-502

Study of Patterns of Connectivity in Hypercube Interconnection Network Through Number theoretic notation

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