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Fitness-Based Generative Models for Power-Law Networks

In: Handbook of Optimization in Complex Networks

Author

Listed:
  • Khanh Nguyen

    (University of Massachusets)

  • Duc A. Tran

    (University of Massachusets)

Abstract

Many real-world complex networks exhibit a power-law degree distribution. A dominant concept traditionally believed to underlie the emergence of this phenomenon is the mechanism of preferential attachment which originally states that in a growing network a node with higher degree is more likely to be connected by joining nodes. However, a line of research towards a naturally comprehensible explanation for the formation of power-law networks has argued that degree is not the only key factor influencing the network growth. Instead, it is conjectured that each node has a “fitness” representing its propensity to attract links. The concept of fitness is more general than degree; the former may be some factor that is not degree, or may be degree in combination with other factors. This chapter presents a discussion of existing models for generating power-law networks, that belong to this approach.

Suggested Citation

  • Khanh Nguyen & Duc A. Tran, 2012. "Fitness-Based Generative Models for Power-Law Networks," Springer Optimization and Its Applications, in: My T. Thai & Panos M. Pardalos (ed.), Handbook of Optimization in Complex Networks, edition 1, chapter 0, pages 39-53, Springer.
  • Handle: RePEc:spr:spochp:978-1-4614-0754-6_2
    DOI: 10.1007/978-1-4614-0754-6_2
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    Cited by:

    1. Mittal, Shravika & Chakraborty, Tanmoy & Pal, Siddharth, 2022. "Dynamics of node influence in network growth models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    2. Prasan Ratnayake & Sugandima Weragoda & Janaka Wansapura & Dharshana Kasthurirathna & Mahendra Piraveenan, 2021. "Quantifying the Robustness of Complex Networks with Heterogeneous Nodes," Mathematics, MDPI, vol. 9(21), pages 1-20, November.

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