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APPML
2007
57views more  APPML 2007»
13 years 8 months ago
On plane bipartite graphs without fixed edges
-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...
Khaled Salem, Sandi Klavzar
SIAMDM
2008
101views more  SIAMDM 2008»
13 years 8 months ago
Hamilton Cycles in Random Lifts of Directed Graphs
An n-lift of a digraph K, is a digraph with vertex set V (K)
Prasad Chebolu, Alan M. Frieze
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
DM
2008
78views more  DM 2008»
13 years 8 months ago
Planarization and fragmentability of some classes of graphs
The coefficient of fragmentability of a class of graphs measures the proportion of vertices that need to be removed from the graphs in the class in order to leave behind bounded s...
Keith Edwards, Graham Farr
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...