This paper studies non-crossing geometric perfect matchings. Two such perfect matchings are compatible if they have the same vertex set and their union is also non-crossing. Our f...
Oswin Aichholzer, Sergey Bereg, Adrian Dumitrescu,...
A conjecture of G. Fan and A. Raspaud asserts that every bridgeless cubic graph contains three perfect matchings with empty intersection. We suggest a possible approach to problem...
-An edge of a graph H with a perfect matching is a fixed edge if it either belongs to none or to all of the perfect matchings of H. It is shown that a connected plane bipartite gra...
Given a graph with edges colored Red and Blue, we wish to sample and approximately count the number of perfect matchings with exactly k Red edges. We study a Markov chain on the sp...
Nayantara Bhatnagar, Dana Randall, Vijay V. Vazira...
We study propagation algorithms for the conjunction of two ALLDIFFERENT constraints. Solutions of an ALLDIFFERENT constraint can be seen as perfect matchings on the variable/value...
Christian Bessiere, George Katsirelos, Nina Narody...
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...