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Growth of a tree with allocations rules: part 2 dynamics

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  • Olivier Bui

    (Aix Marseille Univ, Université de Toulon, CNRS, CPT)

  • Xavier Leoncini

    (Aix Marseille Univ, Université de Toulon, CNRS, CPT)

Abstract

Following up on a previous work (Bui and Leoncini in Eur Phys J B 92, 2019) we examine a model of transportation network in some source-sink flow paradigm subjected to growth and resource allocation. The model is inspired from plants, and we add rules and factors that are analogous to what plants are subjected to. We study how different resource allocation schemes affect the tree and how the schemes interact with additional factors such as embedding the network into a 3D space and applying gravity or shading. The different outcomes are discussed. Graphic Abstract

Suggested Citation

  • Olivier Bui & Xavier Leoncini, 2021. "Growth of a tree with allocations rules: part 2 dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(1), pages 1-13, January.
  • Handle: RePEc:spr:eurphb:v:94:y:2021:i:1:d:10.1140_epjb_s10051-020-00020-8
    DOI: 10.1140/epjb/s10051-020-00020-8
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    References listed on IDEAS

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    1. Jens Leth Hougaard, 2009. "Sharing in Networks," Springer Books, in: An Introduction to Allocation Rules, chapter 5, pages 125-152, Springer.
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    1. Olivier Bui & Xavier Leoncini, 2019. "Growth of a tree with allocation rules. Part 1: kinematics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(7), pages 1-12, July.

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