The Mathematics of Finite Networks: An Introduction to Operator Graph Theory

ISBN-13: 9781107134430 / Angielski / Twarda / 2022 / 200 str.

Michael Rudolph

Opis

Offers an exact, non-asymptotic approach to studying large-scale features of finite networks that arise in real applications.

Recenzje

'The tool provided in this book is potentially valuable in understanding the mathematical beauty of finite networks involved in many real-world applications.' Yilun Shang, zbMATH

Spis treści

Preface: 1. Introduction; Part I. Operator Graph Theory: 2. Classical graph theory:The mathematical description of networks; 3. Operator calculus:The mapping between vector spaces; 4. Operator graph theory:The mathematics of finite networks; Part II. Applications: 5. Generating graphs; 6. Measuring graphs; 7. Transforming graphs; Afterthought; Bibliography; Index of notations; Index.