Connected Dominating Set: Theory and Applications (Springer Optimization and Its Applications, 77, Band 77) - Hardcover

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Weili Wu is an IEEE-fellow and a full professor in the Department of Computer Science, The University of Texas at Dallas, Richardson, TX, USA. She received the MS and PhD degrees from the Department of Computer Science, University of Minnesota, Minneapolis, MN, USA, in 1998 and 2002, respectively. She has published a large number of research articles in the general area of data communication and data management, including the design and analysis of algorithms for optimization problems that occur in wireless networking environments and various data systems. Zhang Zhao is a Distinguished Professor at Zhejiang Normal University. Her primary research focuses on the design and analysis of combinatorial optimization algorithms. She has led and completed four projects funded by NSFC (including the Fund for Excellent Young Scholars) and four projects funded by the Ministry of Education (including the New Century Excellent Talents Support Program). She has also won the First Prize in Scientific and Technological Progress of Xinjiang. Professor Zhang is a member of the 8th Mathematics Subject Evaluation Group of the Academic Degrees Committee of the State Council, an executive director of the Operations Research Society of China, an associate editor of Journal of Combinatorial Optimization, etc. Ding-Zhu Du is a professor at Department of Computer Science, the University of Texas at Dallas. He received his Master’s degree in 1982 from the Chinese Academy of Sciences and Ph.D. in 1985 from the University of California at Santa Barbara. His research areas include optimization theory and mathematical foundation of computer science. He had worked in MSRI (Berkeley), MIT, Chinese Academy of Sciences, Princeton University, University of Minnesota, and NSF of USA. He was granted the Natural Science First-Class Prize of the Chinese Academy of Sciences in 1992, the National Natural Science Second-Class Prize of China in 1993, the CSTS award of INFORMS in 1998, and the Constantin Caratheodory Prize in 2025.

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The connected dominating set (CDS) has been a classic subject studied in graph theory since 1975. It has been discovered in recent years that CDS has important applications in communication networks ―especially in wireless networks ―as a virtual backbone. Motivated from those applications, many papers have been published in the literature during last 15 years. Now, the connected dominating set has become a hot research topic in computer science. This work is a valuable reference for researchers in computer science and operations research, especially in areas of theoretical computer science, computer communication networks, combinatorial optimization, industrial engineering, and discrete mathematics. The book may also be used as a text in a graduate seminar for PhD students. Readers should have a basic knowledge of computational complexity and combinatorial optimization.

In this book, the authors present the state-of-the-art in the study of connected dominating sets. Each chapter is devoted to one problem, and consists of three parts: motivation and overview, problem complexity analysis, and approximation algorithm designs. The text is designed to give the reader a clear understanding of the background, formulation, existing important research results, and open problems. Topics include minimum CDS, routing-cost constrained CDS, weighted CDS, directed CDS, SCDS (strongly connected dominating set), WCDS (weakly connected dominating set), CDS-partition, virtual backbone in wireless networks, convertor placement in optical networks, coverage in wireless sensor networks, and more.