English

Vertex labeling and routing in expanded Apollonian networks

Physics and Society 2011-11-09 v1

Abstract

We present a family of networks, expanded deterministic Apollonian networks, which are a generalization of the Apollonian networks and are simultaneously scale-free, small-world, and highly clustered. We introduce a labeling of their vertices that allows to determine a shortest path routing between any two vertices of the network based only on the labels.

Keywords

Cite

@article{arxiv.physics/0610281,
  title  = {Vertex labeling and routing in expanded Apollonian networks},
  author = {Zhongzhi Zhang and Francesc Comellas and Guillaume Fertin and André Raspaud and Lili Rong and Shuigeng Zhou},
  journal= {arXiv preprint arXiv:physics/0610281},
  year   = {2011}
}

Comments

16 pages, 2 figures

R2 v1 2026-07-22T19:13:23.795Z