**EMS Zurich Lectures in Advanced Mathematics**

Volume: 13;
2010;
147 pp;
Softcover

MSC: Primary 05; 11; 13; 14; 15; 51; 52; 62; 65; 68; 90;
**Print ISBN: 978-3-03719-093-7
Product Code: EMSZLEC/13**

List Price: $42.00

Individual Member Price: $33.60

# Nonlinear Discrete Optimization: An Algorithmic Theory

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*Shmuel Onn*

A publication of the European Mathematical Society

This monograph develops an algorithmic theory of nonlinear discrete optimization. It introduces a simple and useful setup, which enables the polynomial time solution of broad fundamental classes of nonlinear combinatorial optimization and integer programming problems in variable dimension. An important part of this theory is enhanced by recent developments in the algebra of Graver bases. The power of the theory is demonstrated by deriving the first polynomial time algorithms in a variety of application areas within operations research and statistics, including vector partitioning, matroid optimization, experimental design, multicommodity flows, multi-index transportation and privacy in statistical databases.

This monograph is intended for graduate students and researchers. It is accessible to anyone with standard undergraduate knowledge and mathematical maturity.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

#### Table of Contents

# Table of Contents

## Nonlinear Discrete Optimization: An Algorithmic Theory

#### Readership

Graduate students and research mathematicians interested in nonlinear discrete optimization.