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APPROX
2006
Springer
126views Algorithms» more  APPROX 2006»
14 years 5 days ago
Better Approximations for the Minimum Common Integer Partition Problem
Abstract. In the k-Minimum Common Integer Partition Problem, abbreviated k-MCIP, we are given k multisets X1, . . . , Xk of positive integers, and the goal is to find an integer mu...
David P. Woodruff
JCT
2008
59views more  JCT 2008»
13 years 8 months ago
Partition identities and the coin exchange problem
The number of partitions of n into parts divisible by a or b equals the number of partitions of n in which each part and each difference of two parts is expressible as a non-negati...
Alexander E. Holroyd
STOC
2001
ACM
97views Algorithms» more  STOC 2001»
14 years 8 months ago
Sharp threshold and scaling window for the integer partitioning problem
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
Christian Borgs, Jennifer T. Chayes, Boris Pittel
DM
2006
93views more  DM 2006»
13 years 8 months ago
Consistency for partition regular equations
It is easy to deduce from Ramsey's Theorem that, given positive integers a1, a2, . . . , am and a finite colouring of the set N of positive integers, there exists an injectiv...
Imre Leader, Paul A. Russell
DMCCG
2001
Springer
120views Combinatorics» more  DMCCG 2001»
14 years 28 days ago
Partitions of an Integer into Powers
Matthieu Latapy