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» Nonnegative integral subset representations of integer sets
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IPL
2007
74views more  IPL 2007»
14 years 10 months ago
Nonnegative integral subset representations of integer sets
We consider an integer-subset representation problem motivated by a medical application in radiation therapy. We prove NP-completeness, derive nontrivial bounds, and report on the...
Michael J. Collins, David Kempe, Jared Saia, Maxwe...
MP
2010
126views more  MP 2010»
14 years 8 months ago
Two row mixed-integer cuts via lifting
Recently, Andersen et al. [1], Borozan and Cornu´ejols [7] and Cornu´ejols and Margot [10] characterized extreme inequalities of a system of two rows with two free integer varia...
Santanu S. Dey, Laurence A. Wolsey
DM
1998
54views more  DM 1998»
14 years 10 months ago
On the structure of a random sum-free set of positive integers
Cameron introduced a natural probability measure on the set S of sum-free sets, and asked which sets of sum-free sets have a positive probability of occurring in this probability m...
Neil J. Calkin
COMBINATORICS
1999
83views more  COMBINATORICS 1999»
14 years 10 months ago
Discrepancy of Matrices of Zeros and Ones
Let m and n be positive integers, and let R = (r1, . . . , rm) and S = (s1, . . . , sn) be non-negative integral vectors. Let A(R, S) be the set of all m
Richard A. Brualdi, Jian Shen
ISAAC
2005
Springer
97views Algorithms» more  ISAAC 2005»
15 years 3 months ago
A Min-Max Relation on Packing Feedback Vertex Sets
Let G be a graph with a nonnegative integral function w defined on V (G). A collection F of subsets of V (G) (repetition is allowed) is called a feedback vertex set packing in G ...
Xujin Chen, Guoli Ding, Xiaodong Hu, Wenan Zang