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An Introduction to the Theory of Graph Spectra

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Title: An Introduction to the Theory of Graph Spectra
Description: This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.
Authors: Dragoš Cvetković, Peter Rowlinson, Slobodan Simić
Resource Type: eBook.
Subjects: Matrices, Graph theory
Categories: MATHEMATICS / Graphic Methods
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 551364
RelevancyScore: 1025
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1024.62744140625
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  Data: An Introduction to the Theory of Graph Spectra
– Name: Abstract
  Label: Description
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  Data: This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.
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  Data: <searchLink fieldCode="AR" term="%22Dragoš+Cvetković%22">Dragoš Cvetković</searchLink><br /><searchLink fieldCode="AR" term="%22Peter+Rowlinson%22">Peter Rowlinson</searchLink><br /><searchLink fieldCode="AR" term="%22Slobodan+Simić%22">Slobodan Simić</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Matrices%22">Matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 511.5
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Matrices
        Type: general
      – SubjectFull: Graph theory
        Type: general
    Titles:
      – TitleFull: An Introduction to the Theory of Graph Spectra
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Dragoš Cvetković
      – PersonEntity:
          Name:
            NameFull: Peter Rowlinson
      – PersonEntity:
          Name:
            NameFull: Slobodan Simić
      – PersonEntity:
          Name:
            NameFull: Dragoš Cvetković
      – PersonEntity:
          Name:
            NameFull: Peter Rowlinson
      – PersonEntity:
          Name:
            NameFull: Slobodan Simić
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2009
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521118392
            – Type: isbn-electronic
              Value: 9781107360792
          Numbering:
            – Type: volume
              Value: 00075
          Titles:
            – TitleFull: An Introduction to the Theory of Graph Spectra
              Type: main
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