The Mathematics of Finite Networks: An Introduction to...

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The Mathematics of Finite Networks: An...

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

Name: The Mathematics of Finite Networks: An Introduction to Operator Graph Theory
ISBN: 9781107134430

Michael Rudolph

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Since the early eighteenth century, the theory of networks and graphs has matured into an indispensable tool for describing countless real-world phenomena. However, the study of large-scale features of a network often requires unrealistic limits, such as taking the network size to infinity or assuming a continuum. These asymptotic and analytic approaches can significantly diverge from real or simulated networks when applied at the finite scales of real-world applications. This book offers an approach to overcoming these limitations by introducing operator graph theory, an exact, non-asymptotic set of tools combining graph theory with operator calculus. The book is intended for mathematicians, physicists, and other scientists interested in discrete finite systems and their graph-theoretical description, and in delineating the abstract algebraic structures that characterise such systems. All the necessary background on graph theory and operator calculus is included for readers to understand the potential applications of operator graph theory.

類別:

Mathematics - Applied Mathematics

年:

2022

出版商:

Cambridge University Press

語言:

english

頁數:

355

ISBN 10:

1107134439