Regular Graphs: A Spectral Approach
2017年4月 · De Gruyter Series in Discrete Mathematics and Applications 第 4 冊 · Walter de Gruyter GmbH & Co KG
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關於本電子書
Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds with basic properties, specific subclasses of regular graphs (like distance-regular graphs, strongly regular graphs, various designs or expanders) and determining particular regular graphs. Each chapter contains detailed proofs, discussions, comparisons, examples, exercises and also indicates possible applications. Finally, the author also includes some conjectures and open problems to promote further research.
Contents
Spectral properties
Particular types of regular graph
Determinations of regular graphs
Expanders
Distance matrix of regular graphs
Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds ...
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關於作者
Zoran Stanić, University of Belgrade, Serbia.
Zoran Stanić, University of Belgrade, Serbia.
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