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International Journal of Computer Mathematics: Computer Systems Theory Volume 8, 2023 - Issue 4
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Research Article

Some empirical and theoretical attributes of random multi-hooking networks

Kiran R. Bhutania Department of Mathematics, The Catholic University of America, Washington, DC, USACorrespondence[email protected]
,
Ravi Kalpathya Department of Mathematics, The Catholic University of America, Washington, DC, USA
,
Hosam Mahmoudb Department of Statistics, The George Washington University, Washington, DC, USA
&
Achuna Ofoneduc Department of Electrical Engineering and Computer Science and Department of Mathematics, The Catholic University of America, Washington, DC, USA
Pages 222-234 | Received 22 May 2022, Accepted 04 Oct 2023, Published online: 23 Nov 2023

References

  • K. Bhutani, R. Kalpathy, and H. Mahmoud, Average measures in polymer graphs, Int. J. Computer Math.: Computer Syst. Theory 6(1) (2021), pp. 37–53.
  • K. Bhutani, R. Kalpathy, and H. Mahmoud, Random multi-hooking networks, Probab. Eng. Inf. Sci. (2023), pp. 1–15. doi:10.1017/s0269964822000523.
  • C. Desmarais and C. Holmgren, Normal limit laws for vertex degrees in randomly grown hooking networks and bipolar networks, Electronic J. Comb. 27(2) (2020), p. P2.45.
  • C. Desmarais and C. Holmgren, Degree distributions of generalized hooking networks, 2019 Proceedings of the Sixteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), San Diego, 2019, pp. 103–110.
  • C. Desmarais and H. Mahmoud, Depths in hooking networks, Probab. Eng. Inf. Sci. 36(4) (2022), pp. 941–949.
  • A. Dobrynin and I. Gutman, The average Wiener index of trees and chemical trees, J. Chem. Inf. Computer Sci. 39(4) (1999), pp. 679–683.
  • R. Entringer, A. Meir, J. Moon, and L. Székely, On the Wiener index of trees from certain families, Australas. J. Comb. 10 (1994), pp. 211–224.
  • H. Mahmoud, Local and global degree profiles of randomly grown self-similar hooking networks under uniform and preferential attachment, Adv. Appl. Math. 111 (2019), p. 101930.
  • R. Neininger, The Wiener index of random trees, Comb. Probab. Comput. 11(6) (2002), pp. 587–597.

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