Duality of Ends

We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism between the end spaces of a graph and its dual, and that this homeomorphism maps thick ends to thick ends. Along the way, we prove that Tutte-connectivity is invariant under taking (infinite) duals.

• Type: Journal
• Year: 2010
• Where: CPC
• Authors: Henning Bruhn, Maya Jakobine Stein
• Keywords: CPC 2010, Infinite Dual Graphs, Natural Homeomorphism, Thick Ends