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Optimization over integers
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A Logical Model Provides Insights into T Cell Receptor Signaling
TLDR
A large-scale Boolean model for T cell activation is applied to the functional analysis of the complex signaling network governing the activation of T cells via the T cell receptor, the CD4/CD8 co-receptor, and the accessory signaling receptor CD28. Expand
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Nonlinear Integer Programming
TLDR
We present the summation formula of an infinite geometric series: g1(z) = 1 1 1 + · · ·+ 1n−1 + 1n = n + 1. Expand
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Inequalities from Two Rows of a Simplex Tableau
TLDR
In this paper we explore the geometry of the integer points in a cone rooted at a rational point. Expand
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Transversal numbers over subsets of linear spaces
Let $M$ be a subset of $\mathbb{R}^k$. It is an important question in the theory of linear inequalities to estimate the minimal number $h=h(M)$ such that every system of linear inequalities which isExpand
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A Semidefinite Programming Approach to the Quadratic Knapsack Problem
In order to gain insight into the quality of semidefinite relaxations of constrained quadratic 0/1 programming problems we study the quadratic knapsack problem. We investigate several basicExpand
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Test sets of integer programs
  • R. Weismantel
  • Mathematics, Computer Science
  • Math. Methods Oper. Res.
  • 1 February 1998
TLDR
This article is a survey about recent developments in the area of test sets of families of linear integer programs and their relation to the augmentation problem. Expand
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Cutting planes in integer and mixed integer programming
TLDR
This survey presents cutting planes that are useful or potentially useful in solving mixed integer programs. Expand
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On the 0/1 knapsack polytope
  • R. Weismantel
  • Mathematics, Computer Science
  • Math. Program.
  • 1 April 1997
This paper deals with the 0/1 knapsack polytope. In particular, we introduce the class ofweight inequalities. This class of inequalities is needed to describe the knapsack polyhedron when the weightsExpand
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