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Quantification and statistical analysis of topological features of recursive trees

Author

Listed:
  • Király, Balázs
  • Borsos, István
  • Szabó, György

Abstract

Some topological features of recursive trees are quantified by exploiting the decomposition of directed graphs into a suitable combination of starlike hierarchical and three-edge cyclic components. This approach requires the adoption of the formalism of weighted directed graphs and allows us to quantify the proportion of hierarchical and hidden cyclic components. Using this concept, we can introduce new local parameters and global measures that quantify certain topological features of recursive trees. The average values of some of these measures over the general set of same-sized recursive trees are also determined.

Suggested Citation

  • Király, Balázs & Borsos, István & Szabó, György, 2023. "Quantification and statistical analysis of topological features of recursive trees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    • Handle: RePEc:eee:phsmap:v:617:y:2023:i:c:s0378437123002273
    DOI: 10.1016/j.physa.2023.128672
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    References listed on IDEAS

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    1. Vasiliauskaite, Vaiva & Evans, Tim S. & Expert, Paul, 2022. "Cycle analysis of Directed Acyclic Graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    2. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    3. E Alejandro Herrada & Claudio J Tessone & Konstantin Klemm & Víctor M Eguíluz & Emilio Hernández-García & Carlos M Duarte, 2008. "Universal Scaling in the Branching of the Tree of Life," PLOS ONE, Public Library of Science, vol. 3(7), pages 1-6, July.
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