Graphs and Networks

Graphs and Networks is a book that combines graph theory and network science, with applications to biology, social sciences, and neuroscience. It provides a theoretical foundation with linear algebra, probability, and statistics, and includes research outlooks and practice problems.

Format: Hardback
Length: 288 pages
Publication date: 29 April 2022
Publisher: John Wiley & Sons Inc

Graphs and Networks is a captivating blend of graph theory and network science, offering a rich tapestry of concepts for mathematicians and data science professionals alike. This comprehensive textbook delves into a diverse range of topics, including minors, connectomes, trees, distance, spectral graph theory, similarity, centrality, small-world networks, scale-free networks, graph algorithms, Eulerian circuits, Hamiltonian cycles, coloring, higher connectivity, planar graphs, flows, matchings, and coverings.

Beginning with practical applications in biology and the social and political sciences, the book gradually evolves into a theoretical exploration of graph structure theory and combinatorial optimization. A solid foundation in linear algebra, probability, and statistics serves as the guiding framework, providing the necessary perspective to fully comprehend the intricacies of graphs and networks.

In addition to its theoretical content, Graphs and Networks boasts a wealth of real-world applications. It explores the realm of neuroscience, climate science, and the social and political sciences, providing insights into complex systems and their dynamics. The book also includes a research outlook, seamlessly integrated into the narrative, offering valuable ideas for students interested in pursuing research projects at various levels. A comprehensive selection of primary and secondary sources further enhances the learning experience, allowing readers to delve deeper into the subject matter.

Furthermore, historical notes sprinkled throughout the text shed light on the passion and excitement that drove the discoveries in graph theory and network science. These notes add a human touch to the narrative, making the subject matter more accessible and engaging. Complementing the theoretical content, the book includes a generous array of practice problems designed to reinforce the concepts and encourage further investigation and independent work.

By combining graph theory and network science, Graphs and Networks provides a comprehensive and interdisciplinary approach to understanding complex systems. Whether you are a mathematician, data scientist, or simply interested in exploring the fascinating world of graphs and networks, this textbook is an invaluable resource for advancing your knowledge and understanding of these critical fields.

Weight: 526g
Dimension: 160 x 239 x 23 (mm)
ISBN-13: 9781118937181