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Titlebook: Introduction to Combinatorial Optimization; Ding-Zhu Du,Panos M. Pardalos,Weili Wu Textbook 2022 Springer Nature Switzerland AG 2022 Algor

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发表于 2025-3-21 17:21:33 | 显示全部楼层 |阅读模式
书目名称Introduction to Combinatorial Optimization
编辑Ding-Zhu Du,Panos M. Pardalos,Weili Wu
视频videohttp://file.papertrans.cn/474/473527/473527.mp4
概述Discussion of common applications enables the student to reach the forefront of research.Gives the reader a global and comprehensive view on how to solve combinatorial optimization problems.Emphasizes
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Introduction to Combinatorial Optimization;  Ding-Zhu Du,Panos M. Pardalos,Weili Wu Textbook 2022 Springer Nature Switzerland AG 2022 Algor
描述.Introductory courses in combinatorial optimization are popular at the upper undergraduate/graduate levels in computer science, industrial engineering, and business management/OR, owed to its wide applications in these fields. There are several published textbooks that treat this course and the authors have used many of them in their own teaching experiences.  This present text fills a gap and is organized with a stress on methodology and relevant content, providing a step-by-step approach for the student to become proficient in solving combinatorial optimization problems. Applications and problems are considered via recent technology developments including wireless communication, cloud computing, social networks, and machine learning, to name several, and the reader is led to the frontiers of combinatorial optimization. Each chapter presents common problems, such as minimum spanning tree, shortest path, maximum matching, network flow, set-cover, as well as key algorithms, suchas greedy algorithm, dynamic programming, augmenting path, and divide-and-conquer. Historical notes, ample exercises in every chapter, strategically placed graphics, and an extensive bibliography are amongst
出版日期Textbook 2022
关键词Algorithm Design; Combinatorial Optimization; NP-hard problem; approximation algorithms; linear programm
版次1
doihttps://doi.org/10.1007/978-3-031-10596-8
isbn_softcover978-3-031-11684-1
isbn_ebook978-3-031-10596-8Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer Nature Switzerland AG 2022
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发表于 2025-3-21 22:58:50 | 显示全部楼层
Textbook 2022e, shortest path, maximum matching, network flow, set-cover, as well as key algorithms, suchas greedy algorithm, dynamic programming, augmenting path, and divide-and-conquer. Historical notes, ample exercises in every chapter, strategically placed graphics, and an extensive bibliography are amongst
发表于 2025-3-22 02:43:06 | 显示全部楼层
Introduction,Let us start this textbook from a fundamental question and tell you what will constitute this book.
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Linear Programming,Linear programming (LP) is an important combinatorial optimization problem, and in addition, it is an important tool to design and to understand algorithms for other problems. In this chapter, we introduce LP theory starting from Simplex Algorithm, which is an incremental method.
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Restriction and Steiner Tree,Restriction is a major technique in design of approximation algorithms. The Steiner minimum tree is a classic NP-hard combinatorial optimization problem. In the study of the Steiner minimum tree and its variations, restriction plays an important role.
发表于 2025-3-22 21:40:00 | 显示全部楼层
Greedy Approximation and Submodular Optimization,Greedy is an important strategy to design approximation algorithms, especially in the study of submodular optimization problems. In this chapter, we will explore this strategy together with important results in submodular optimization.
发表于 2025-3-23 04:29:10 | 显示全部楼层
Nonsubmodular Optimization,In the real world, there are many set function optimization problems with objective function and/or constraint which is neither submodular nor supermodular. Usually, it is hard to study their approximation solutions. In this chapter, we summarize existing efforts in the literature.
发表于 2025-3-23 06:47:58 | 显示全部楼层
https://doi.org/10.1007/978-3-031-10596-8Algorithm Design; Combinatorial Optimization; NP-hard problem; approximation algorithms; linear programm
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