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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Duality of Ends

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Author(s):
Bruhn, Henning [1] ; Stein, Maya [2]
Total Authors: 2
Affiliation:
[1] Univ Hamburg, Math Seminar, D-20146 Hamburg - Germany
[2] Univ Chile, Ctr Modelamiento Matemat, Santiago 2120 - Chile
Total Affiliations: 2
Document type: Journal article
Source: COMBINATORICS PROBABILITY & COMPUTING; v. 19, n. 1, p. 47-60, JAN 2010.
Web of Science Citations: 7
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. (AU)