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A note on Menger's theorem for infinite locally finite graphs

โœ Scribed by R. Halin


Book ID
112965867
Publisher
Vandenhoeck & Ruprecht
Year
1974
Tongue
German
Weight
225 KB
Volume
40
Category
Article
ISSN
0025-5858

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Menger's theorem for infinite graphs wit
โœ Henning Bruhn; Reinhard Diestel; Maya Stein ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 127 KB

## Abstract A wellโ€known conjecture of Erdล‘s states that given an infinite graph __G__ and sets __A__,โ€‰โІโ€‰__V__(__G__), there exists a family of disjoint __A__โ€‰โˆ’โ€‰__B__ paths ๐“… together with an __A__โ€‰โˆ’โ€‰__B__ separator __X__ consisting of a choice of one vertex from each path in ๐“…. There is a natural