Introduction to Combinatorial Optimization

This textbook offers a comprehensive introduction to combinatorial optimization, emphasizing methodology and practical applications. It covers key problems and algorithms, enriched with exercises, historical insights, and relevant technology developments.

Introduction to Combinatorial Optimization is a comprehensive textbook designed for upper undergraduate and graduate students in fields such as computer science, industrial engineering, and business management. The popularity of combinatorial optimization courses stems from their broad applicability across various domains. This book aims to bridge existing gaps in the literature by emphasizing methodology and relevant content, enabling students to develop proficiency in solving combinatorial optimization problems.

The text adopts a systematic, step-by-step approach, guiding readers through essential concepts and techniques. It covers a range of common problems, including minimum spanning trees, shortest paths, maximum matching, network flow, and set-cover. Additionally, it introduces key algorithms such as greedy algorithms, dynamic programming, augmenting paths, and divide-and-conquer strategies. Each chapter is thoughtfully structured to enhance understanding and application of these concepts.

Moreover, the book integrates contemporary technological developments, exploring applications in areas like wireless communication, cloud computing, social networks, and machine learning. This connection to real-world scenarios not only enriches the learning experience but also positions students at the forefront of combinatorial optimization. With historical notes, numerous exercises, well-placed graphics, and an extensive bibliography, Introduction to Combinatorial Optimization serves as a valuable resource for students and educators alike, fostering a deeper understanding of this vital subject.