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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The mathematics of finite networks/ Michael Rudolph.
其他題名:	an introduction to operator graph theory /
作者:	Rudolph, Michael.
出版者:	Cambridge ; New York, NY :Cambridge University Press, : 2022.,
面頁冊數:	xii, 342 p. :ill., digital ; : 23 cm.;
附註:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
標題:	System analysis. -
電子資源:	https://doi.org/10.1017/9781316466919
ISBN:	9781316466919

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

The mathematics of finite networksan introduction to operator graph theory /[electronic resource] :Michael Rudolph. - Cambridge ; New York, NY :Cambridge University Press,2022. - xii, 342 p. :ill., digital ;23 cm.

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: 9781316466919Subjects--Topical Terms:

528439
System analysis.

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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245 1 4 $a The mathematics of finite networks $h [electronic resource] : $b an introduction to operator graph theory / $c Michael Rudolph.
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300 $a xii, 342 p. : $b ill., digital ; $c 23 cm.
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 System analysis. $3 528439
650 0 $a Operator theory. $3 527910
650 0 $a Graph theory. $3 527884
856 4 0 $u https://doi.org/10.1017/9781316466919