國立虎尾科技大學 |

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,
面頁冊數:	1 online resource (xii, 342 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
標題:	Graph theory. -
電子資源:	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 /
LDR:02213nam a2200289 i 4500 001 1127248
003 UkCbUP
005 20220509092304.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2022||||enk o ||1 0|eng|d
020 $a 9781316466919 (ebook)
020 $z 9781107134430 (hardback)
035 $a CR9781316466919
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA166 $b .R83 2022
082 0 0 $a 511/.5 $2 23/eng/20220126
100 1 $a Rudolph, Michael, $d 1969- $e author. $3 1446520
245 1 4 $a The mathematics of finite networks : $b an introduction to operator graph theory / $c Michael Rudolph.
264 1 $a Cambridge ; New York, NY : $b Cambridge University Press, $c 2022.
300 $a 1 online resource (xii, 342 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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
776 0 8 $i Print version: $z 9781107134430
856 4 0 $u https://doi.org/10.1017/9781316466919