Postnikov's approach to perfect matchings of graphs

Lauren Williams pointed me toward http://front.math.ucdavis.edu/0609.5764 (the original reference for Postnikov's work) as well as http://front.math.ucdavis.edu/0706.2501 (an article by Postnikov, Speyer, and Williams with more of an emphasis on matchings and flows). In this setting one has Plucker relations that are essentially the same thing as Kuo's graphical condensation.

Greg Muller and I tried to overview this material in the first three sections of our paper .