The major histocompatibility class I locus in Atlantic salmon (Salmo salar L.) : polymorphism, linkage analysis and protein modelling

Abstract We show that a.s. all of the connected components of the Wired Spanning Forest are recurrent, proving a conjecture of Benjamini, Lyons, Peres and Schramm. Our analysis relies on a simple martingale involving the effective conductance between the endpoints of an edge in a uniform spanning tr...

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Bibliographic Details
Published in:Immunogenetics
Main Authors: Grimholt, U., Drablos, F., Jorgensen, S.M., Hoyheim, B., Stet, R.J.M.
Format: Article in Journal/Newspaper
Language:English
Published: 2002
Subjects:
Online Access:https://research.wur.nl/en/publications/the-major-histocompatibility-class-i-locus-in-atlantic-salmon-sal
https://doi.org/10.1007/s00251-002-0499-8
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Summary:Abstract We show that a.s. all of the connected components of the Wired Spanning Forest are recurrent, proving a conjecture of Benjamini, Lyons, Peres and Schramm. Our analysis relies on a simple martingale involving the effective conductance between the endpoints of an edge in a uniform spanning tree. We believe that this martingale is of independent interest and will find further applications in the study of uniform spanning trees and forests.