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May 18, 2023 at 5:44 comment added The Amplitwist The link to emis.ams.org in a comment above seems to be broken, but the article can be found at the new website of the EMIS, or at EuDML, or at arXiv:0803.2578 [math.CO] (Zbl 1183.05064).
May 18, 2023 at 5:37 comment added The Amplitwist The link to sciencedirect.com is broken, but the article can be found at doi:10.1016/j.disc.2009.08.016 (Zbl 1214.05120).
Apr 17, 2010 at 21:42 vote accept Grigory Yaroslavtsev
Apr 17, 2010 at 21:42 comment added Grigory Yaroslavtsev Thank you, this paper really gives the answer. In fact, it seems that the main result was obtained by Alon and Friedland in this paper: emis.ams.org/journals/EJC/Volume_15/PDF/v15i1n13.pdf. There they show that graphs which are union of complete bipartite graphs have the maximum number of perfect matchings among all graphs with the same degree sequence.
Apr 17, 2010 at 6:43 history answered Igor Pak CC BY-SA 2.5