MARC状态：审校 文献类型：西文图书 浏览次数：35
- 题名/责任者:
- The mathematics of finite networks : an introduction to operator graph theory / Michael Rudolph, CNRS/Institute Denis Poisson, University of Tours.
- 出版发行项:
- Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.
- ISBN:
- 9781107134430
- 载体形态项:
- xii, 342 pages : illustrations ; 24 cm
- 变异题名:
- Finite networks
- 个人责任者:
- Rudolph, Michael, 1969- author.
- 论题主题:
- Graph theory.
- 论题主题:
- Operator theory.
- 论题主题:
- System analysis.
- 中图法分类号:
- O157.5
- 书目附注:
- Includes bibliographical references (pages 327-332) and index.
- 内容附注:
- Classical graph theory -- Operator calculus -- Operator graph theory -- Generating graphs -- Measuring graphs -- Transforming graphs.
- 摘要附注:
- "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."--Provided by publisher.
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