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The mathematics of finite networks : = an introduction to operator graph theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The mathematics of finite networks :/ Michael Rudolph.
Reminder of title:	an introduction to operator graph theory /
Author:	Rudolph, Michael,
Description:	1 online resource (xii, 342 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
Subject:	Graph theory. -
Online resource:	https://doi.org/10.1017/9781316466919
ISBN:	9781316466919 (ebook)

The mathematics of finite networks : = an introduction to operator graph theory /
Rudolph, Michael,1969-

The mathematics of finite networks :an introduction to operator graph theory /Michael Rudolph. - 1 online resource (xii, 342 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 07 Apr 2022).

Classical graph theory -- Operator calculus -- Operator graph theory -- Generating graphs -- Measuring graphs -- Transforming graphs.

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.

ISBN: 9781316466919 (ebook)Subjects--Topical Terms:

527884
Graph theory.

LC Class. No.: QA166 / .R83 2022

Dewey Class. No.: 511/.5

The mathematics of finite networks : = an introduction to operator graph theory /
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300 $a 1 online resource (xii, 342 pages) : $b digital, PDF file(s).
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500 $a Title from publisher's bibliographic system (viewed on 07 Apr 2022).
505 0 $a Classical graph theory -- Operator calculus -- Operator graph theory -- Generating graphs -- Measuring graphs -- Transforming graphs.
520 $a 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.
650 0 $a Graph theory. $3 527884
650 0 $a Operator theory. $3 527910
650 0 $a System analysis. $3 528439
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856 4 0 $u https://doi.org/10.1017/9781316466919