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STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 10 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
ECCC
2000
179views more  ECCC 2000»
13 years 9 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
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
14 years 10 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»
13 years 9 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»
13 years 9 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