Geodesic
Lower matching conjecture, and a new proof of Schrijver's and Gurvits's theorems
Journal of the European Mathematical Society, Tome 19 (2017) no. 6, pp. 1811-1844.

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Friedland's Lower Matching Conjecture asserts that if G is a d-regular bipartite graph on ν(G)=2n vertices, and mk​(G) denotes the number of matchings of size k, then
DOI : 10.4171/jems/706
Classification : 05-XX
Keywords: Matchings, matching polynomial, Benjamini–Schramm convergence, infinite regular tree, infinite biregular tree, 2-lift 
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     author = {P\'eter Csikv\'ari},
     title = {Lower matching conjecture, and a new proof of {Schrijver's} and {Gurvits's} theorems},
     journal = {Journal of the European Mathematical Society},
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Péter Csikvári. Lower matching conjecture, and a new proof of Schrijver's and Gurvits's theorems. Journal of the European Mathematical Society, Tome 19 (2017) no. 6, pp. 1811-1844. doi : 10.4171/jems/706. http://geodesic.mathdoc.fr/articles/10.4171/jems/706/

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