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Bounded expansion in models of webgraphs

Authors: Gago Álvarez, Silvia; Schlatter, Dirk;

Bounded expansion in models of webgraphs

Abstract

We study the bounded expansion of several models of web graphs. We show that various deterministic graph models for large complex networks have constant bounded expansion.We study two random models of webgraphs, showing that the model of Bonato has not bounded expansion, and we conjecture that the classical model of Barabási may have also not bounded expansion.

Country
Spain
Keywords

Teoria de, webgraphs, :05 Combinatorics [Classificació AMS], Grafs, Teoria de, Classificació AMS::05 Combinatorics::05C Graph theory, Classificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probability, Classificació AMS::68 Computer science::68R Discrete mathematics in relation to computer science, Computer science, Classificació AMS::05 Combinatorics, Graph theory, bounded expansion, Grafs, :60 Probability theory and stochastic processes::60C05 Combinatorial probability [Classificació AMS], Combinacions (Matemàtica), Combinatorics, grad, Informàtica--Matemàtica, Probabilitats, :68 Computer science::68R Discrete mathematics in relation to computer science [Classificació AMS], minor closed class, :05 Combinatorics::05C Graph theory [Classificació AMS], random graphs, Probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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