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» On the number of rectangular partitions
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CORR
2008
Springer
74views Education» more  CORR 2008»
15 years 1 months ago
Analysis of the Karmarkar-Karp Differencing Algorithm
The Karmarkar-Karp differencing algorithm is the best known polynomial time heuristic for the number partitioning problem, fundamental in both theoretical computer science and stat...
Stefan Boettcher, Stephan Mertens
EOR
2010
133views more  EOR 2010»
15 years 1 months ago
A memetic algorithm for graph coloring
Given an undirected graph G = (V, E) with a set V of vertices and a set E of edges, the graph coloring problem consists of partitioning all vertices into k independent sets and th...
Zhipeng Lü, Jin-Kao Hao
ARSCOM
2006
81views more  ARSCOM 2006»
15 years 1 months ago
A Counting of the minimal realizations of the posets of dimension two
The posets of dimension 2 are those posets whose minimal realizations have two elements, that is, which may be obtained as the intersection of two of their linear extensions. Gall...
Pierre Ille, Jean-Xavier Rampon
IOR
2006
93views more  IOR 2006»
15 years 1 months ago
A Branch-and-Price Algorithm for the Multilevel Generalized Assignment Problem
The multilevel generalized assignment problem (MGAP) is a variation of the generalized assignment problem, in which agents can execute tasks at different efficiency levels with di...
Alberto Ceselli, Giovanni Righini
JCT
2006
82views more  JCT 2006»
15 years 1 months ago
On Rado's Boundedness Conjecture
We prove that Rado's Boundedness Conjecture from Richard Rado's 1933 famous dissertation Studien zur Kombinatorik is true if it is true for homogeneous equations. We the...
Jacob Fox, Daniel J. Kleitman