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» On the bounded integer programming
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JGT
2007
73views more  JGT 2007»
13 years 10 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
EOR
2011
106views more  EOR 2011»
13 years 1 months ago
Probability of unique integer solution to a system of linear equations
We consider a system of m linear equations in n variables Ax = d and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer:...
O. L. Mangasarian, Benjamin Recht
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
14 years 3 months ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
DM
2010
66views more  DM 2010»
13 years 10 months ago
Two proofs of the Bermond-Thomassen conjecture for tournaments with bounded minimum in-degree
The Bermond-Thomassen conjecture states that, for any positive integer r, a digraph of minimum out-degree at least 2r -1 contains at least r vertex-disjoint directed cycles. Thoma...
Stéphane Bessy, Nicolas Lichiardopol, Jean-...
IJON
2008
95views more  IJON 2008»
13 years 10 months ago
A support vector machine with integer parameters
We describe here a method for building a support vector machine (SVM) with integer parameters. Our method is based on a branchand-bound procedure, derived from modern mixed intege...
Davide Anguita, Alessandro Ghio, Stefano Pischiutt...