English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study the first uniformly finite homology group of Block and Weinbergerfor uniformly locally finite graphs, with coefficients in $\mathbb{Z}$ and$\mathbb{Z}_2$. When the graph is a tree, or coefficients are in$\mathbb{Z}_2$, a characterisation of the group is obtained. In the generalcase, we describe three phenomena that entail non-vanishing of the group; theirdisjunction is shown to also be necessary for non-vanishing in the case oftransitive graphs.

The first uniformly finite homology group with coefficients in $\mathbb{Z}$ and a characterisation of its vanishing in the transitive case