Proceedings of the 1st Annual Workshop on Simplifying Complex Network for Practitioners 2009
DOI: 10.1145/1610304.1610308
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Comparison of network criticality, algebraic connectivity, and other graph metrics

Abstract: The study of robustness and connectivity properties are important in the analysis of complex networks. This paper reports on an effort to compare different network topologies according to their algebraic connectivity, network criticality, average node degree, and average node betweenness. We consider different network types and study the behavior of these various metrics as scale is increased. Based on extensive simulations, we suggest some guidelines for the design and simplification of networks. The main fin… Show more

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Cited by 44 publications
(18 citation statements)
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“…Such metrics are algebraic connectivity [7], spectral gap [8], natural connectivity [9], weighted spectrum [10], network criticality [11], and effective graph resistance [12]. Moreover, there have been several studies to compare a subset of these metrics [9], [13], [14]. The results of these metrics show promising ability to describe the robustness of a given graph.…”
Section: Introductionmentioning
confidence: 99%
“…Such metrics are algebraic connectivity [7], spectral gap [8], natural connectivity [9], weighted spectrum [10], network criticality [11], and effective graph resistance [12]. Moreover, there have been several studies to compare a subset of these metrics [9], [13], [14]. The results of these metrics show promising ability to describe the robustness of a given graph.…”
Section: Introductionmentioning
confidence: 99%
“…Graph Theory provides a large body of metrics such as connectivity, betweenness, distance or reliability polynomials [20,21], which are correlated to some forms of robustness. Yet, they do not simultaneously accommodate for both isolation and replication.…”
Section: Related Workmentioning
confidence: 99%
“…Note that FGG expands in two dimensions whereas ELG grows in one dimension. A more detailed comparison of network criticality and algebraic connectivity can be found in [20].…”
Section: A Network Criticality and Algebraic Connectivitymentioning
confidence: 99%