Ends in free minimal spanning forests

Ádám Timár

doi:10.1214/009117906000000025

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Home > Journals > Ann. Probab. > Volume 34 > Issue 3 > Article

May 2006 Ends in free minimal spanning forests

Ádám Timár

Ann. Probab. 34(3): 865-869 (May 2006). DOI: 10.1214/009117906000000025

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Abstract

We show that for a transitive unimodular graph, the number of ends is the same for every tree of the free minimal spanning forest. This answers a question of Lyons, Peres and Schramm.