English

Traffic Analysis in Random Delaunay Tessellations and Other Graphs

Differential Geometry 2012-03-23 v1 Computational Geometry Networking and Internet Architecture Combinatorics

Abstract

In this work we study the degree distribution, the maximum vertex and edge flow in non-uniform random Delaunay triangulations when geodesic routing is used. We also investigate the vertex and edge flow in Erd\"os-Renyi random graphs, geometric random graphs, expanders and random kk-regular graphs. Moreover we show that adding a random matching to the original graph can considerably reduced the maximum vertex flow.

Keywords

Cite

@article{arxiv.1203.4863,
  title  = {Traffic Analysis in Random Delaunay Tessellations and Other Graphs},
  author = {John D. Hobby and Gabriel H. Tucci},
  journal= {arXiv preprint arXiv:1203.4863},
  year   = {2012}
}

Comments

Submitted to the Journal of Discrete Computational Geometry

R2 v1 2026-06-21T20:38:05.501Z