Scale free interval graphs

4Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

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. © 2009 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Miyoshi, N., Shigezumi, T., Uehara, R., & Watanabe, O. (2009). Scale free interval graphs. Theoretical Computer Science, 410(45), 4588–4600. https://doi.org/10.1016/j.tcs.2009.08.012

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free