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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/9178

Title: Scale Free Interval Graphs
Authors: Miyoshi, Naoto
Shigezumi, Takeya
Uehara, Ryuhei
Watanabe, Osamu
Keywords: scale free graph
small world network
interval graphs
Issue Date: 2009-08-22
Publisher: Elsevier
Magazine name: Theoretical Computer Science
Volume: 410
Number: 45
Start page: 4533
End page: 4600
DOI: 10.1016/j.tcs.2009.08.012
Abstract: Scale free graphs have attracted attention by their non-uniform structure that can be used as a model for various social and physical networks. In this paper, we propose a natural and simple random model for generating scale free interval graphs. The model generates a set of intervals randomly under a certain distribution, which defines a random interval graph. The main advantage of the model is its simpleness. The structure/properties of generated graphs are analyzable by relatively simple probabilistic and/or combinatorial arguments, which is different from many other models. Based on such arguments, we show for our random interval graph that its degree distribution follows a power law, and that it has a large average clustering coefficient.
Rights: NOTICE: This is the author’s version of a work accepted for publication by Elsevier. Changes resulting from the publishing process, including peer review, editing, corrections, structural formatting and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Naoto Miyoshi, Takeya Shigezumi, Ryuhei Uehara, and Osamu Watanabe, Theoretical Computer Science, 410(45), 2009, 4533-4600, http://dx.doi.org/10.1016/j.tcs.2009.08.012
URI: http://hdl.handle.net/10119/9178
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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