๐”– Bobbio Scriptorium
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A Survey on Spectra of infinite Graphs

โœ Scribed by Mohar, B.; Woess, W.


Book ID
120092619
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
585 KB
Volume
21
Category
Article
ISSN
0024-6093

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๐Ÿ“œ SIMILAR VOLUMES


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In [4] Jung and Watkins proved that for a connected infinite graph X either rยฎ(X) = oo holds or X is a strip, if Aut(X) contains a transitive abelian subgroup G. Here we prove the same result under weaker assumptions.

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We present a construction of two infinite graphs \(G_{1}, G_{2}\) and of an infinite set of graphs such that \(\mathscr{F}\) is an antichain with respect to the minor relation and, for every graph \(G\) in \(\mathscr{F}\), both \(G_{1}\) and \(G_{2}\) are subgraphs of \(G\) but no graph obtained fro