Duality of Ends

Author:

BRUHN HENNING,STEIN MAYA

Abstract

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 * preserves the ‘end degree’. In particular, * maps thick ends to thick ends. Along the way, we prove that Tutte-connectivity is invariant under taking (infinite) duals.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Labeled Trees Generating Complete, Compact, and Discrete Ultrametric Spaces;Annals of Combinatorics;2022-04-18

2. Infinite Graphic Matroids;Combinatorica;2018-03-27

3. Contractible Edges in k-Connected Infinite Graphs;Graphs and Combinatorics;2017-08-18

4. Dual trees must share their ends;Journal of Combinatorial Theory, Series B;2017-03

5. Entropy-Driven Phase Transition in Low-Temperature Antiferromagnetic Potts Models;Communications in Mathematical Physics;2014-03-19

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