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Networks and their degree distribution, leading to a new concept of small worlds

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  • Egghe, Leo

Abstract

The degree distribution, referred to as the delta-sequence of a network is studied. Using the non-normalized Lorenz curve, we apply a generalized form of the classical majorization partial order.

Suggested Citation

  • Egghe, Leo, 2024. "Networks and their degree distribution, leading to a new concept of small worlds," Journal of Informetrics, Elsevier, vol. 18(3).
    • Handle: RePEc:eee:infome:v:18:y:2024:i:3:s1751157724000671
    DOI: 10.1016/j.joi.2024.101554
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    References listed on IDEAS

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    1. M. E. J. Newman & D. J. Watts, 1999. "Scaling and Percolation in the Small-World Network Model," Working Papers 99-05-034, Santa Fe Institute.
    2. Leo Egghe & Ronald Rousseau, 2023. "Global impact measures," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(1), pages 699-707, January.
    3. Egghe, Leo & Rousseau, Ronald, 2023. "Global informetric impact: A description and definition using bundles," Journal of Informetrics, Elsevier, vol. 17(1).
    4. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
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