Cargando…
An Introduction to the Theory of Graph Spectra /
A self-contained introduction to the theory of graph spectra including exercises and an extensive bibliography.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2009.
|
| Colección: | London Mathematical Society student texts ;
no. 75. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn776967660 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 101021s2009 enk ob 001 0 eng d | ||
| 040 | |a UkCbUP |b eng |e pn |c AUD |d OCLCO |d CUY |d OCLCQ |d OCLCO |d MHW |d EBLCP |d OCLCF |d DEBSZ |d OCLCQ |d N$T |d E7B |d YDXCP |d IDEBK |d OCLCQ |d AU@ |d OCLCQ |d UKAHL |d OCLCO |d OCLCQ | ||
| 019 | |a 797859066 |a 831670032 |a 976523669 | ||
| 020 | |a 9780511801518 |q (ebook) | ||
| 020 | |a 0511801513 |q (ebook) | ||
| 020 | |a 9780521118392 |q (hardback) | ||
| 020 | |a 0521118395 |q (hardback) | ||
| 020 | |a 9781107365704 | ||
| 020 | |a 1107365708 | ||
| 020 | |a 9781107360792 |q (electronic bk.) | ||
| 020 | |a 110736079X |q (electronic bk.) | ||
| 020 | |z 0521134080 | ||
| 020 | |z 9780521134088 | ||
| 029 | 1 | |a AU@ |b 000055792486 | |
| 029 | 1 | |a DEBSZ |b 381830160 | |
| 029 | 1 | |a DEBSZ |b 445574054 | |
| 035 | |a (OCoLC)776967660 |z (OCoLC)797859066 |z (OCoLC)831670032 |z (OCoLC)976523669 | ||
| 050 | 4 | |a QA166 |b .C835 2010eb | |
| 072 | 7 | |a MAT |x 013000 |2 bisacsh | |
| 082 | 0 | 4 | |a 511.5 |
| 049 | |a UAMI | ||
| 245 | 0 | 3 | |a An Introduction to the Theory of Graph Spectra / |c Dragoš Cvetković, Peter Rowlinson, Slobodan Simić. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2009. | ||
| 300 | |a 1 online resource (378 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society Student Texts ; |v no. 75 | |
| 500 | |a Title from publishers bibliographic system (viewed 22 Dec 2011). | ||
| 520 | |a A self-contained introduction to the theory of graph spectra including exercises and an extensive bibliography. | ||
| 504 | |a Includes bibliographical references (pages 333-357) and indexes. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; 1 Introduction; 1.1 Graph spectra; 1.2 Some more graph-theoretic notions; 1.3 Some results from linear algebra; Exercises; Notes; 2 Graph operations and modifications; 2.1 Complement, union and join of graphs; 2.2 Coalescence and related graph compositions; 2.3 General reduction procedures; 2.4 Line graphs and related operations; 2.5 Cartesian type operations; 2.6 Spectra of graphs of particular types; Exercises; Notes; 3 Spectrum and structure; 3.1 Counting certain subgraphs; 3.2 Regularity and bipartiteness; 3.3 Connectedness and metric invariants. | |
| 505 | 8 | |a 3.4 Line graphs and related graphs3.5 More on regular graphs; 3.5.1 The second largest eigenvalue; 3.5.2 The eigenvalue with second largest modulus; 3.5.3 Miscellaneous results; 3.6 Strongly regular graphs; 3.7 Distance-regular graphs; 3.8 Automorphisms and eigenspaces; 3.9 Equitable partitions, divisors and main eigenvalues; 3.10 Spectral bounds for graph invariants; 3.11 Constraints on individual eigenvalues; 3.11.1 The largest eigenvalue; 3.11.2 The second largest eigenvalue; Exercises; Notes; 4 Characterizations by spectra; 4.1 Spectral characterizations of certain classes of graphs. | |
| 505 | 8 | |a 4.1.1 Elementary spectral characterizations4.1.2 Graphs with least eigenvalue -2; 4.1.3 Characterizations according to type; 4.2 Cospectral graphs and the graph isomorphism problem; 4.2.1 Examples of cospectral graphs; 4.2.2 Constructions of cospectral graphs; 4.2.3 Statistics of cospectral graphs; 4.2.4 A comparison of various graph invariants; 4.3 Characterizations by eigenvalues and angles; 4.3.1 Cospectral graphs with the same angles; 4.3.2 Constructing trees; 4.3.3 Some characterization theorems; Exercises; Notes; 5 Structure and one eigenvalue; 5.1 Star complements. | |
| 505 | 8 | |a 7.5.3 Isoperimetric problems7.6 Expansion; 7.7 The normalized Laplacian matrix; 7.8 The signless Laplacian; 7.8.1 Basic properties of Q-spectra; 7.8.2 Q-eigenvalues and graph structure; 7.8.3 The largest Q-eigenvalue; Exercises; Notes; 8 Some additional results; 8.1 More on graph eigenvalues; 8.1.1 Graph perturbations; 8.1.2 Bounds on the index; 8.2 Eigenvectors and structure; 8.3 Reconstructing the characteristic polynomial; 8.4 Integral graphs; Exercises; Notes; 9 Applications; 9.1 Physics; 9.1.1 Vibration of a membrane; 9.1.2 The dimer problem; 9.2 Chemistry. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Graph theory. | |
| 650 | 0 | |a Matrices. | |
| 650 | 6 | |a Matrices. | |
| 650 | 7 | |a MATHEMATICS |x Graphic Methods. |2 bisacsh | |
| 650 | 7 | |a Graph theory. |2 fast |0 (OCoLC)fst00946584 | |
| 650 | 7 | |a Matrices. |2 fast |0 (OCoLC)fst01012399 | |
| 700 | 1 | |a Cvetković, Dragoš. | |
| 700 | 1 | |a Rowlinson, Peter. | |
| 700 | 1 | |a Simić, S. |q (Slobodan) | |
| 776 | 0 | 8 | |i Print version: |z 9780521118392 |
| 830 | 0 | |a London Mathematical Society student texts ; |v no. 75. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=551364 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH13432769 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL891199 | ||
| 938 | |a ebrary |b EBRY |n ebr10560869 | ||
| 938 | |a EBSCOhost |b EBSC |n 551364 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis25154920 | ||
| 938 | |a YBP Library Services |b YANK |n 10666550 | ||
| 938 | |a YBP Library Services |b YANK |n 10370260 | ||
| 938 | |a YBP Library Services |b YANK |n 10374335 | ||
| 938 | |a YBP Library Services |b YANK |n 6943783 | ||
| 938 | |a YBP Library Services |b YANK |n 10370239 | ||
| 994 | |a 92 |b IZTAP | ||