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COMBINATORICS
1999
80views more  COMBINATORICS 1999»
13 years 8 months ago
On the Theory of Pfaffian Orientations. I. Perfect Matchings and Permanents
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. ...
Anna Galluccio, Martin Loebl
WWW
2007
ACM
14 years 9 months ago
GigaHash: scalable minimal perfect hashing for billions of urls
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...
INFOCOM
2009
IEEE
14 years 3 months ago
Online Bipartite Perfect Matching With Augmentations
—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 ...
Kamalika Chaudhuri, Constantinos Daskalakis, Rober...
STOC
1990
ACM
93views Algorithms» more  STOC 1990»
14 years 20 days ago
Perfect Zero-Knowledge in Constant Rounds
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...
Mihir Bellare, Silvio Micali, Rafail Ostrovsky
ENDM
2007
111views more  ENDM 2007»
13 years 8 months ago
Claw-free circular-perfect graphs
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...
Arnaud Pêcher, Xuding Zhu