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Regular graphs : a spectral approach /
"Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then procee...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2017]
|
| Colección: | De Gruyter series in discrete mathematics and applications ;
4. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
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| 003 | OCoLC | ||
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| 024 | 7 | |a urn:nbn:de:101:1-201705036213 |2 urn | |
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| 100 | 1 | |a Stanić, Zoran, |d 1975- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjG9hBtydvhJgbXD6fMbMP | |
| 245 | 1 | 0 | |a Regular graphs : |b a spectral approach / |c Zoran Stanić. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (247 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a De Gruyter Series in Discrete Mathematics and Applications ; |v 4 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Preface -- |t Contents -- |t List of Figures -- |t 1 Introduction -- |t 2 Spectral properties -- |t 3 Particular types of regular graph -- |t 4 Determinations of regular graphs -- |t 5 Expanders -- |t 6 Distance matrix of regular graphs -- |t References -- |t Graph index -- |t Index. |
| 520 | |a "Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds with basic properties, specifi ed subclasses of regular graphs (like distance-regular graphs, strongly regular graphs, various designs or expanders) and determining particular regular graphs. Each chapter contains detailed proofs, discussions, comparisons, examples, exercises and also indicates possible applications. Finally, the author also includes some conjectures and open problems to promote further research."--Resource home page. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed May. 17, 2017). | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Graph theory. | |
| 650 | 0 | |a Spectral theory (Mathematics) | |
| 650 | 6 | |a Spectre (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS / Discrete Mathematics. |2 bisacsh | |
| 650 | 7 | |a Graph theory |2 fast | |
| 650 | 7 | |a Spectral theory (Mathematics) |2 fast | |
| 650 | 7 | |a Regulärer Graph |2 gnd | |
| 653 | |a (Produktform)Electronic book text | ||
| 653 | |a (Zielgruppe)Fachpublikum/ Wissenschaft | ||
| 653 | |a (BISAC Subject Heading)MAT008000 | ||
| 653 | |a (BISAC Subject Heading)MAT036000: MAT036000 MATHEMATICS / Combinatorics | ||
| 653 | |a Spektrum <Mathematik> | ||
| 653 | |a Graphentheorie | ||
| 653 | |a Expandierender Graph | ||
| 653 | |a Spectral properties of regular graphs; regular graphs with high symmetry; expanders; constructions of regular graphs | ||
| 653 | |a Regulärer Graph | ||
| 653 | |a Graph | ||
| 653 | |a (VLB-WN)9620 | ||
| 653 | |a Spectral properties of regular graphs | ||
| 653 | |a construction of regular graphs | ||
| 653 | |a expanders | ||
| 653 | |a regular graphs with high symmetry | ||
| 653 | |a (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke | ||
| 758 | |i has work: |a Regular graphs (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGgJJcCbV3Qv6d9QTQgc4C |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | |c bundle |z 9783110351354 | |
| 776 | 0 | |c EPUB |z 9783110383362 | |
| 776 | 0 | |c print |z 9783110351286 | |
| 830 | 0 | |a De Gruyter series in discrete mathematics and applications ; |v 4. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4851892 |z Texto completo |
| 880 | 0 | |6 505-00/(S |a Intro -- Preface -- Contents -- List of Figures -- 1 Introduction -- 1.1 Terminology and notation -- 1.2 Notes on regular graphs -- 1.3 Elements of the theory of graph spectra -- 2 Spectral properties -- 2.1 Basic properties of the spectrum of a regular graph -- 2.2 Operations on regular graphs and resulting spectra -- 2.3 Other kinds of graph spectrum -- 2.3.1 Laplacian and signless Laplacian spectrum -- 2.3.2 Seidel spectrum -- 2.4 Deducing regularity from the spectrum -- 2.5 Spectral distances of regular graphs -- 2.6 Inequalities for eigenvalues -- 2.6.1 Second largest eigenvalue -- 2.6.2 Toughness of regular graphs -- 2.6.3 More inequalities -- 2.7 Extremal regular graphs -- 2.8 Eigenvalue estimation -- 2.9 Eigenvalue distribution -- 3 Particular types of regular graph -- 3.1 Non-complete extended p-sums -- 3.2 Walk-regular graphs -- 3.3 Distance-regular graphs -- 3.3.1 Basic properties -- 3.3.2 Classical examples -- 3.3.3 Inequalities for eigenvalues -- 3.3.4 Geometric graphs -- 3.3.5 Deducing distance-regularity from the spectrum -- 3.4 Strongly regular graphs -- 3.4.1 Basic properties -- 3.4.2 Small examples -- 3.4.3 Conference graphs -- 3.4.4 Generalized Latin squares and partial geometries -- 3.4.5 Spectral distances -- 3.5 Kneser graphs -- 3.6 Regular graphs of line systems -- 3.6.1 Equidistant lines -- 3.6.2 Root systems -- 3.7 Star complements -- 3.7.1 Reconstruction theorem and its consequences -- 3.7.2 Star complement technique -- 3.7.3 Star complements in regular graphs -- 3.8 Partially balanced incomplete block designs -- 3.8.1 Balanced incomplete block designs -- 3.8.2 Partially balanced incomplete block designs with 2 associate classes -- 4 Determinations of regular graphs -- 4.1 Exceptional regular graphs -- 4.1.1 Regular graphs with λ2≤1 -- 4.2 Reflexive bipartite regular graphs -- 4.3 Integral regular graphs. | |
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