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» Nonnegative integral subset representations of integer sets
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94
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IPL
2007
74views more  IPL 2007»
15 years 18 days 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 11 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
91
Voted
DM
1998
54views more  DM 1998»
15 years 11 days 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
81
Voted
COMBINATORICS
1999
83views more  COMBINATORICS 1999»
15 years 10 days 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
114
Voted
ISAAC
2005
Springer
97views Algorithms» more  ISAAC 2005»
15 years 6 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