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Invariant spanning double rays in amenable groups.
- Source :
-
Discrete Mathematics . Feb2021, Vol. 344 Issue 2, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- A well-known result of Benjamini, Lyons, Peres, and Schramm states that if G is a finitely generated Cayley graph of a group Γ , then Γ is amenable if and only if G admits a Γ -invariant random spanning tree with at most two ends. We show that this is equivalent to the existence of a Γ -invariant random spanning double ray in a power of G. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CAYLEY graphs
*SPANNING trees
Subjects
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 344
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 147294622
- Full Text :
- https://doi.org/10.1016/j.disc.2020.112207