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代數(shù)圖論-第2版 版權(quán)信息
- ISBN：9787510078637
- 條形碼：9787510078637 ; 978-7-5100-7863-7
- 裝幀：一般膠版紙
- 冊(cè)數(shù)：暫無(wú)
- 重量：暫無(wú)
- 所屬分類：>>
代數(shù)圖論-第2版 本書特色
many authors begin their preface by confidently describing how their book arose.we started this project so long ago， and our memories are so weak， that we could not do this truthfully.others begin by stating why they decided to write.thanks to freud， we know that unconscious reasons can be as important as conscious ones， and so this seems impossible， too.moreover， the real question that should be addressed is why the reader should struggle with this text.
代數(shù)圖論-第2版 內(nèi)容簡(jiǎn)介
本書作者旨在用代數(shù)的語(yǔ)言表述圖的性質(zhì)，1974年初版，并備受爭(zhēng)議的專著，在這版做了很多修訂。**部分處理了線性代數(shù)和矩陣?yán)碚撛趫D論中的應(yīng)用。接下來(lái)展開講述了色多項(xiàng)式理論，該理論和理論物理、扭結(jié)理論中的交互模型有著很強(qiáng)的關(guān)聯(lián)。*后講述了對(duì)稱和一般性質(zhì)，這和代數(shù)組合、群論的其他分支有著重要的關(guān)系。整個(gè)卷次的結(jié)構(gòu)基本保持不變，但行文更加清晰明了，符號(hào)也更符合目前表述要求。每章末包括大量的附加結(jié)果，這樣也將近二十年的重要成果包括了進(jìn)來(lái)。這部著作將成為數(shù)學(xué)、計(jì)算科學(xué)和理論物理專業(yè)人士的必讀作品。 目次：（一）圖論中的線性代數(shù)；（二）涂色問題；（三）對(duì)稱。 讀者對(duì)象：數(shù)學(xué)、計(jì)算科學(xué)和理論物理專業(yè)學(xué)生、老師和科研人員。
代數(shù)圖論-第2版 目錄
preface
1introduction
part one—linear algebra in graph theory
2 the spectrum of a graph
3 regulalr graphs and line graphs
4cycles and cuts
5 spanning trees and associated structures
6the tree—munber
7deteminant expansions
8vertex—partitions and the 8pectrum
part two—colouring problems
9the chromatic polynorrual
10subgraph expansions
11the multiplicative expansion
12the induced subgraph expansion
13the tutte polynomial
14chromatic polynomials and spanning trees
part three—symmetry and regularity
15automorphisms of graphs
16vertex—transitive graphs
17symmetric graphs
18symmetric graphs of degree three
19the covering—graph construction
20distance—transitive graphs
21feasibility ofintersection arrays
22 imprimitivity
23minimal regular graphs with given girth
references
index
1introduction
part one—linear algebra in graph theory
2 the spectrum of a graph
3 regulalr graphs and line graphs
4cycles and cuts
5 spanning trees and associated structures
6the tree—munber
7deteminant expansions
8vertex—partitions and the 8pectrum
part two—colouring problems
9the chromatic polynorrual
10subgraph expansions
11the multiplicative expansion
12the induced subgraph expansion
13the tutte polynomial
14chromatic polynomials and spanning trees
part three—symmetry and regularity
15automorphisms of graphs
16vertex—transitive graphs
17symmetric graphs
18symmetric graphs of degree three
19the covering—graph construction
20distance—transitive graphs
21feasibility ofintersection arrays
22 imprimitivity
23minimal regular graphs with given girth
references
index
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代數(shù)圖論-第2版 作者簡(jiǎn)介
Norman Biggs(N.比格斯,英國(guó)) 是國(guó)際知名學(xué)者，在數(shù)學(xué)和物理學(xué)界享有盛譽(yù)。本書凝聚了作者多年科研和教學(xué)成果，適用于科研工作者、高校教師和研究生。
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