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. ...
A minimal perfect function maps a static set of keys on to the range of integers {0,1,2, ... , - 1}. We present a scalable high performance algorithm based on random graphs for ...
Kumar Chellapilla, Anton Mityagin, Denis Xavier Ch...
—In this paper, we study an online bipartite matching problem, motivated by applications in wireless communication, content delivery, and job scheduling. In our problem, we have ...
Quadratic residuosity and graph isomorphism are classic problems and the canonical examples of zero-knowledge languages. However, despite much research e ort, all previous zerokno...
The circular chromatic number of a graph is a well-studied refinement of the chromatic number. Circular-perfect graphs is a superclass of perfect graphs defined by means of this...