Eigenspaces of Graphs 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Cvetkovic, Dragos M./ Rowlinson, Peter/ Simic, Slobodan 作者

Cambridge Univ Pr

譯者

1997-1 出版日期

276 頁數

$ 180.80 價格

HRD

叢書系列

9780521573528 圖書編碼

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發表於2024-11-06

Eigenspaces of Graphs 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Eigenspaces of Graphs 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Eigenspaces of Graphs 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Eigenspaces of Graphs 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Eigenspaces of Graphs 在線電子書圖書描述

Current research on the spectral theory of finite graphs may be seen as part of a wider effort to forge closer links between algebra and combinatorics (in particular between linear algebra and graph theory).This book describes how this topic can be strengthened by exploiting properties of the eigenspaces of adjacency matrices associated with a graph. The extension of spectral techniques proceeds at three levels: using eigenvectors associated with an arbitrary labelling of graph vertices, using geometrical invariants of eigenspaces such as graph angles and main angles, and introducing certain kinds of canonical eigenvectors by means of star partitions and star bases. One objective is to describe graphs by algebraic means as far as possible, and the book discusses the Ulam reconstruction conjecture and the graph isomorphism problem in this context. Further problems of graph reconstruction and identification are used to illustrate the importance of graph angles and star partitions in relation to graph structure. Specialists in graph theory will welcome this treatment of important new research.

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