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SWAT
1992
Springer
104views Algorithms» more  SWAT 1992»
15 years 11 months ago
Low-Diameter Graph Decomposition is in NC
We obtain the rst NC algorithm for the low-diameter graph decomposition problem on arbitrary graphs. Our algorithm runs in O(log5 (n)) time, and uses O(n2) processors.
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
APPML
2008
93views more  APPML 2008»
15 years 7 months ago
A matrix characterization of interval and proper interval graphs
In this work a matrix representation that characterizes the interval and proper interval graphs is presented, which is useful for the efficient formulation and solution of optimiz...
George B. Mertzios
ECCC
2007
109views more  ECCC 2007»
15 years 7 months ago
Logic, Graphs, and Algorithms
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
Martin Grohe
COMBINATORICS
2002
60views more  COMBINATORICS 2002»
15 years 7 months ago
Parking Functions, Stack-Sortable Permutations, and Spaces of Paths in the Johnson Graph
We prove that the space of possible final configurations for a parking problem is parameterized by the vertices of a regular Bruhat graph associated to a 231-avoiding permutation,...
Catalin Zara
ECCC
2000
179views more  ECCC 2000»
15 years 7 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