Goh<i>et al.</i>Reply:
Physical Review LettersPublished 28 October 2003Open access
K.-I. Goh, Cheol-Min Ghim, B. Kahng, D. Kim
Citations25
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Abstract
Reply to "Comment on 'Universal Behavior of Load Distribution in Scale-Free Networks.'"
Keywords
Physics and Astronomy
Physical Review LettersUniversal Behavior of Load Distribution in Scale-Free Networks
1,257 Citations2001K.-I. Goh, B. Kahng +1 more
It is conjecture that the load exponent is a universal quantity to characterize scale-free networks and valid for both undirected and directed cases.
Proceedings of the National Academy of SciencesClassification of scale-free networks
382 Citations2002K.-I. Goh, Eunsoon Oh +3 more
It is shown that the betweenness centrality displays a power-law distribution with an exponent η, which is robust, and is used to classify the scale-free networks, including two universality classes with η ≈ 2.2(1) and 2.0, respectively.
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsShortest paths and load scaling in scale-free trees
87 Citations2002Gábor Szabó, Mikko J. Alava +1 more
This paper maps the m=1 case of the Barabási-Albert model into a tree with a depth-dependent branching ratio and shows the origins of the average distance scaling, and demonstrates why the distribution approaches a Gaussian in the limit of N large.
Physical Review LettersComment on “Universal Behavior of Load Distribution in Scale-Free Networks”
46 Citations2003Marc Barthélemy
Two different ways of checking numerically this universality of $\delta$ are used and it is shown that it does not hold.