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» Kernels and Regularization on Graphs
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ECCC
2000
179views more  ECCC 2000»
15 years 3 months ago
A Note on Approximating MAX-BISECTION on Regular Graphs
We design a 0:795 approximation algorithm for the Max-Bisection problem restricted to regular graphs. In the case of three regular graphs our results imply an approximation ratio ...
Uriel Feige, Marek Karpinski, Michael Langberg
146
Voted
ICPR
2008
IEEE
15 years 10 months ago
Birkhoff polytopes, heat kernels and graph complexity
In this paper we use doubly stochastic matrices to establish a link between Birkhoff polytopes and heat kernels on graphs. Based on this analysis we construct a multi-dimensional ...
Francisco Escolano, Edwin R. Hancock, Miguel Angel...
135
Voted
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
16 years 4 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
JGT
2007
146views more  JGT 2007»
15 years 3 months ago
Compatible circuit decompositions of 4-regular graphs
A transition system T of an Eulerian graph G is a family of partitions of the edges incident to each vertex of G into transitions i.e. subsets of size two. A circuit decomposition...
Herbert Fleischner, François Genest, Bill J...
DM
2006
144views more  DM 2006»
15 years 3 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna