Graph and Network Theory: An Applied Approach using Mathematica (R)

This textbook provides a comprehensive coverage of graph and network theory,with a focus on theoretical and applied aspects. It is designed for three primary readerhips: mathematics, applied mathematics/operations research, and computer science. Each chapter includes real-life problem descriptions, exercises, and biographical notes of graph theorists and mathematicians. The material is organized into three parts: network optimization, classical problems, and modern areas of study. Mathematica® is used to demonstrate modelling aspects.

Format: Paperback / softback
Length: 766 pages
Publication date: 05 June 2023
Publisher: Springer International Publishing AG

This comprehensive textbook delves into diverse aspects of graph and network theory, offering a theoretical and applied perspective. It employs the powerful Mathematica® software to illustrate numerous modeling concepts. Alongside the development of graph theory and model-building tools, effective techniques for solving practical problems through computer implementation are explored. The book is meticulously crafted with three primary target audiences in mind: mathematics, applied mathematics/operations research, and computer science. Each chapter begins with real-life problem descriptions, serving as a motivating force for the theoretical exploration of the subject matter. Concluding each chapter are three distinct sets of exercises. The first set caters to readers with a mathematical inclination, featuring standard exercises designed to assess comprehension of the text's content. While some of these exercises are familiar and intended to test understanding, others present more challenging scenarios. The second set is tailored for readers with a strong background in computer technology, offering computer exercises utilizing Mathematica. These exercises provide hands-on experience with the concepts discussed in the chapter. The final set of exercises aims to equip readers with backgrounds in the applied sciences with the skills necessary to apply the chapter's learnings in real-world problem-solving contexts. Furthermore, each chapter includes biographical notes and photographs of influential graph theorists and mathematicians who have made significant contributions to the results documented within. These notes serve as a means to bring the topics to life, allowing readers to connect faces with some of the key figures in the field. By incorporating a blend of theoretical insights, practical applications, and visual aids, this textbook provides a comprehensive and engaging exploration of graph and network theory, making it an invaluable resource for students, researchers, and practitioners alike.

Weight: 1474g
Dimension: 177 x 254 x 46 (mm)
ISBN-13: 9783031038594
Edition number: 1st ed. 2022