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International Journal of Computer Mathematics: Computer Systems Theory Volume 9, 2024 - Issue 1
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Research Article

Graph theoretic properties of good sets in hypercube

S. A. Tapadiaa Department of Science & Technology, Vishwakarma University, Pune, India
,
N. V. Shindeb Department of Mathematics, COEP Technological University, Pune, IndiaCorrespondence[email protected]
&
B. N. Wapharec Department of Mathematics, S.P. Pune University, Pune, India
Pages 41-53 | Received 29 Aug 2023, Accepted 05 Jan 2024, Published online: 19 Feb 2024

References

  • B. Acharya, H. Walikar, and E. Sampathkumar, Recent developments in the theory of domination in graphs, MRI Lect. Notes Math. 1 (1979).
  • A. Boals, A. Gupta, J. Hashmi, and N.A. Sherwani, Compact hypercubes: Properties and recognition, Adv. Comput. Information (ICCI '91), Lect. Notes Comput. Sci. 497 (1991), pp. 395–402.
  • V. Chepoi, Isometric subgraphs of Hamming graphs and d-connectivity, Cybern. Syst. Anal. 24 (1988), pp. 6–11.
  • R. Dhanalakshmi and C. Durairajan, r-Identifying codes in binary Hamming space, q-ary lee space and incomplete hypercube, Discrete Math. Algorithms Appl. 11(02) (2019), pp.1950027.
  • J. Fang, Linear layout of the supercube, IEICE Trans. Inform. Syst. E89-D (2006), pp. 779–782.
  • A. Gupta, A. Boals, N. Sherwani, and S. Hambrusch, A lower bound on embedding large hypercubes into small hypercubes, Congr. Numer. 78 (1991), pp. 141–151.
  • S. Hart, A note on the edges of the n-cube, Discrete Math. 14 (1976), pp. 157–163.
  • I. Honkala, M. Karpovsky, and S. Litsyn, Cycles identifying vertices and edges in binary hypercubes and 2-dimensional tori, Discrete Appl. Math. 129 (2003), pp. 409–419.
  • M. Horng, D. Chen, and K.L. Ku, Parallel routing algorithm for incomplete hypercube interconnection networks, Parallel Comput. 20 (1994), pp. 1739–1761.
  • S. Hu and H. Chen, An efficient routing algorithm in incomplete hypercubes, Parallel Comput. 20 (1994), pp. 1721–1738.
  • H. Katseff, Incomplete hypercubes, IEEE Trans. Comput. 37 (1988), pp. 604–608.
  • A. Sen, A. Sengupta, and S. Bandyopadhyay, On some topological properties of hypercube, incomplete hypercube and supercube, in Proc., 7th Internat. Parallel Processing Symp., 1993, pp. 636–642.
  • N. Tzeng, Structural properties of incomplete hypercubes, in Proc., 10th Internat. Conf. on Distr. Computing Systems, 1990, pp. 262–269.
  • N. Tzeng and H. Chen, Structural and tree embedding aspects of incomplete hypercubes, IEEE Trans. Comput. 43 (1994), pp. 1434–1439.
  • D. Ž. Djoković, Distance preserving subgraphs of the hypercubes, J. Combin. Theory B-41 (1973), pp. 263–267.

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