Mendeley出力
＜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 |
| 出版情報 | Cambridge : Cambridge University Press , 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
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
|
理系図3F 数理独自 | CVET/10/3 | 1997 |
|
023211997003152 |
|
|||
|
|
|
理系図3F 数理独自 | CVET/10/3A | 1997 |
|
023211998007191 |
|
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 |