Emergence of self-similar tree network organization

Kyungrock Paik, Praveen Kumar

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The self-similar tree topology in open dissipative systems is formed as a result of self-organization and found in various examples, such as river networks, blood vessels, vascular organizations in plants, and even lightning. It is generally assumed that the tree organization is a result of a dynamic process that minimizes the dissipation of energy. Here, we argue that inherent randomness is a sufficient condition for the generation of tree patterns under evolutionary dynamics and the decrease of energy expenditure is not the cause but a consequent signature.

Original languageEnglish
Pages (from-to)30-37
Number of pages8
JournalComplexity
Volume13
Issue number4
DOIs
Publication statusPublished - 2008 Mar 1
Externally publishedYes

Fingerprint

blood vessels
Blood Vessels
Lightning
lightning
Rivers
energy expenditure
topology
Energy Metabolism
rivers
energy

Keywords

  • Complex networks
  • Landscape evolution
  • Pattern formation
  • Self-organization

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)

Cite this

Emergence of self-similar tree network organization. / Paik, Kyungrock; Kumar, Praveen.

In: Complexity, Vol. 13, No. 4, 01.03.2008, p. 30-37.

Research output: Contribution to journalArticle

Paik, Kyungrock ; Kumar, Praveen. / Emergence of self-similar tree network organization. In: Complexity. 2008 ; Vol. 13, No. 4. pp. 30-37.
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