An Introduction to the Theory of Graph Spectra (Paperback)
暫譯: 圖譜理論導論 (平裝本)
Dragos Cvetkovi?
- 出版商: Cambridge
- 出版日期: 2009-10-15
- 售價: $2,840
- 貴賓價: 9.5 折 $2,698
- 語言: 英文
- 頁數: 378
- 裝訂: Paperback
- ISBN: 0521134080
- ISBN-13: 9780521134088
-
相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
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商品描述
This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many new developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.
商品描述(中文翻譯)
這本入門書籍探討了圖譜理論:這是一個在計算機科學、量子化學和電氣工程等多個領域都有應用的主題。這裡考察的譜包括有限簡單圖的鄰接矩陣、Seidel 矩陣、拉普拉斯算子、標準化拉普拉斯算子和無符號拉普拉斯算子的譜。這本書的核心主題是特徵值與圖的結構之間的關係。這本書旨在作為研究生的入門教材,或是任何使用圖譜理論的人,這本自成一體的著作僅假設讀者對圖論和線性代數有一些基本的了解。作者還包括了該領域中許多由於興趣迅速擴大而出現的新發展。書中還提供了練習題、譜數據和所需結果的證明。每章結尾的註釋作為對超過500項文獻的廣泛參考書目的一個實用指南。
