Literature DB >> 33664536

Horizontal visibility graph of a random restricted growth sequence.

Toufik Mansour1, Reza Rastegar2, Alexander Roitershtein3.   

Abstract

We study the distributional properties of horizontal visibility graphs associated with random restrictive growth sequences and random set partitions of size n. Our main results are formulas expressing the expected degree of graph nodes in terms of simple explicit functions of a finite collection of Stirling and Bernoulli numbers.

Entities:  

Keywords:  horizontal visibility graph; partitions of a set; restricted growth function

Year:  2020        PMID： 33664536      PMCID： PMC7929487          DOI： 10.1016/j.aam.2020.102145

Source DB:  PubMed          Journal:  Adv Appl Math            Impact factor:   0.848


  7 in total

1.  Complex network approach to fractional time series.

Authors:  Pouya Manshour
Journal:  Chaos       Date:  2015-10       Impact factor: 3.642

2.  Unveiling Temporal Correlations Characteristic of a Phase Transition in the Output Intensity of a Fiber Laser.

Authors:  A Aragoneses; L Carpi; N Tarasov; D V Churkin; M C Torrent; C Masoller; S K Turitsyn
Journal:  Phys Rev Lett       Date:  2016-01-22       Impact factor: 9.161

3.  Horizontal visibility graphs: exact results for random time series.

Authors:  B Luque; L Lacasa; F Ballesteros; J Luque
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2009-10-07

4.  Sequential visibility-graph motifs.

Authors:  Jacopo Iacovacci; Lucas Lacasa
Journal:  Phys Rev E       Date:  2016-04-14       Impact factor: 2.529

5.  Visibility graphs for fMRI data: Multiplex temporal graphs and their modulations across resting-state networks.

Authors:  Speranza Sannino; Sebastiano Stramaglia; Lucas Lacasa; Daniele Marinazzo
Journal:  Netw Neurosci       Date:  2017-10-01

6.  Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.

Authors:  Martín Gómez Ravetti; Laura C Carpi; Bruna Amin Gonçalves; Alejandro C Frery; Osvaldo A Rosso
Journal:  PLoS One       Date:  2014-09-23       Impact factor: 3.240

7.  A combinatorial framework to quantify peak/pit asymmetries in complex dynamics.

Authors:  Uri Hasson; Jacopo Iacovacci; Ben Davis; Ryan Flanagan; Enzo Tagliazucchi; Helmut Laufs; Lucas Lacasa
Journal:  Sci Rep       Date:  2018-02-23       Impact factor: 4.379
  7 in total

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