Micha Sharir, Adam Sheffer, Emo Welzl. Counting plane graphs: perfect matchings, spanning cycles, and Kasteleyn's technique. In Tamal K. Dey, Sue Whitesides, editors, Symposuim on Computational Geometry 2012, SoCG '12, Chapel Hill, NC, USA, June 17-20, 2012. pages 189-198, ACM, 2012. [doi]
Abstract is missing.