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0 reviewsISBN 10: 2003042468
ISBN 13: 9781611972559
Author: Kazuo Murota
Murota's book presents a novel approach to discrete optimization, focusing on the theory of discrete convex functions. It introduces two primary classes of convexity—M-convexity and L-convexity—and explores their properties, dualities, and applications. The work is self-contained, offering both theoretical insights and practical algorithms applicable to various fields such as operations research, economics, and systems analysis.
1. Introduction to the Central Concepts
2. Convex Functions with Combinatorial Structures
3. Convex Analysis, Linear programming, and Integrality
4. M-Convex Sets and Submodular Set Functions
5. L-Convex Sets and Distance Functions
6. M-Convex Functions
7. L-Convex Functions
8. Conjugacy and Duality
9. Network Flows
10. Algorithms
11. Application to Mathematical Economics
12. Application to Systems Analysis by Mixed Matrices
convex and discrete geometry
discrete complex analysis
discrete analysis
discrete analysis journal
a convex function
Tags: Kazuo Murota, Discrete Convex Analysis
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