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Infinite paths in planar graphs V, 3-indivisible graphs

✍ Scribed by Xingxing Yu

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 583 KB
Volume: 57
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.20285

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✦ Synopsis

Abstract

We prove Nash‐Williams' conjecture that every 4‐connected, 3‐indivisible, infinite, planar graph contains a spanning 2‐way infinite path. A graph is said to be 3‐indivisible if the deletion of any finite set of vertices results in at most two infinite components. © 2007 Wiley Periodicals, Inc. J Graph Theory 57: 275–312, 2008

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