Spectra of Graphs
Spectra of Graphs
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DOI：
10.1007/978-1-4614-1939-6
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发表时间：
2012-01-01
期刊：
影响因子：
--
通讯作者：
Haemers, Willem H.
中科院分区：
文献类型：
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作者：
Brouwer, Andries E.;Haemers, Willem H.
这本书给出了一个基本的治疗有关的基本材料图谱，无论是普通的，和拉普拉斯和赛德尔谱。文本进展系统，通过覆盖标准的主题，然后提出一些新的材料，树，强正则图，两个图，关联计划，p-秩的配置和类似的主题。每章末尾的练习提供了实践，从简单而有趣的理论应用到相关主题的小游览。表格、书末的参考文献、作者和主题索引丰富了文本。图谱是为研究人员，教师和研究生感兴趣的图谱。本书假定读者熟悉基本的线性代数和特征值，但也包括一些更高级的线性代数主题，如Perron-Frobenius定理和特征值交错。
This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.