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

One of the main properties of modulus on graphs is Fulkerson duality. In thispaper, we study Fulkerson duality for spanning tree modulus. We introduce a newnotion of Beurling partition, and we identify two important ones, whichcorrespond to the notion of strength and maximum denseness of an arbitrarygraph. These special partitions, also give rise to two deflation processes thatreveal a hierarchical structure for general graphs. Finally, while Fulkersonduality for spanning tree families can be deduced from a well-known result incombinatorics due to Chopra, we give an alternative approach based on a resultof Nash-Williams and Tutte.

Fulkerson duality for modulus of spanning trees and partitions