𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Graph relations, clique divergence and surface triangulations

✍ Scribed by F. Larrión; V. Neumann-Lara; M.A. Pizaña


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
224 KB
Volume
51
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

This work has two aims: first, we introduce a powerful technique for proving clique divergence when the graph satisfies a certain symmetry condition. Second, we prove that each closed surface admits a clique divergent triangulation. By definition, a graph is clique divergent if the orders of its iterated clique graphs tend to infinity, and the clique graph of a graph is the intersection graph of its maximal complete subgraphs. © 2005 Wiley Periodicals, Inc. J Graph Theory