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Avtomatika i Telemekhanika, 2015, Issue 8, Pages 115–139 (Mi at14269)  
This article is cited in 16 scientific papers (total in 16 papers)

System Analysis and Operations Research

Dynamic graph models and their properties

L. Yu. Zhilyakova

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (312 kB) Citations (16)
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Abstract: The review of a number of non-classical flow models and threshold models of spreading activity in a network is given. The description of flow models with nonstandard reachability is provided. Integer-valued threshold models to which “chip-firing game” and “probabilistic abacus” belongs are described. The model of self-organized criticality and its graph interpretation is described. We show the basic properties of a real “real-valued network” threshold model, and perform comparative analysis of these kinds of models.
Presented by the member of Editorial Board: P. Yu. Chebotarev

Received: 05.06.2014
English version:
Automation and Remote Control, 2015, Volume 76, Issue 8, Pages 1417–1435
DOI: https://doi.org/10.1134/S000511791508007X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. Yu. Zhilyakova, “Dynamic graph models and their properties”, Avtomat. i Telemekh., 2015, no. 8, 115–139; Autom. Remote Control, 76:8 (2015), 1417–1435
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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