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<図書>
Eigenspaces of graphs

責任表示 D. Cvetković, P. Rowlinson, S. Simić
シリーズ Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 66
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 1997
本文言語 英語
大きさ xiii, 258 p. : ill. ; 24 cm
概要 Graph theory is an important branch of contemporary combinatorial mathematics. By describing recent results in algebraic graph theory and demonstrating how linear algebra can be used to tackle graph-t...eoretical problems, the authors provide new techniques for specialists in graph theory. The book explains how the spectral theory of finite graphs 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 labeling 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. Current research on these topics is part of a wider effort to forge closer links between algebra and combinatorics. 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. 続きを見る

所蔵情報


理系図3F 数理独自 023211997003152 CVET/10/3 1997

理系図3F 数理独自 023211998007191 CVET/10/3A 1997

書誌詳細

一般注記 Includes bibliographical references (p. 239-255) and index
著者標目 Cvetković, Dragoš M.
Rowlinson, Peter
Simić, Slobodan
件 名 LCSH:Graph theory
LCSH:Spectral theory
分 類 LCC:QA166
DC20:511/.5
NDC8:415.7
書誌ID 1001404268
ISBN 0521573521
NCID BA29013336
巻冊次 ISBN:0521573521
登録日 2009.11.02
更新日 2009.11.02

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