Kasteleyn stated that the generating function of the perfect matchings of a graph of genus g may be written as a linear combination of 4g Pfaffians. Here we prove this statement. ...
We give an overview of some of the mathematical results of Dominique de Caen. These include a short proof of K?onig's theorem, results on Tur?an numbers, biclique partitions,...
In this paper we explore the structure and semantic properties of the entities stored in statistical databases. We call such entities "statistical objects" (SOS) and prop...
We present a symbolic algorithm for strongly connected component decomposition. The algorithm performs (n log n) image and preimage computations in the worst case, where n is the n...
This paper investigates the impact of symbolic search for solving domain-independent action planning problems with binary decision diagrams (BDDs). Polynomial upper and exponential...