rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Spectra of Graphs
  name:
    name part: Brouwer, Andries E.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Haemers, Willem H.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 250 p. online resource.
  abstract: This book provides an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. It covers standard topics such as bounds on the sizes of cliques and cocliques, chromatic number and Shannon capacity, the connection between randomness and the 'eigenvalue gap', and applications. It continues with a presentation of some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.
  table of contents: Graph spectrum -- Linear algebra -- Eigenvalues and eigenvectors of graphs -- The second largest eigenvalue -- Trees -- Groups and graphs -- Topology -- Euclidean representations -- Strongly regular graphs -- Regular two-graphs -- Association schemes -- Distance regular graphs. - p-ranks -- Spectral characterizations -- Graphs with few eigenvalues -- References -- Author Index -- Subject Index.
  note: by Andries E. Brouwer, Willem H. Haemers.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Group theory
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Group Theory and Generalizations
  classification: QA564-609
  classification: 516.35
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9781461419396
  identifier: http://dx.doi.org/10.1007/978-1-4614-1939-6
  record info:
    record creation date: 111215
    record change date: 20151125021044.0
    record identifier: 978-1-4614-1939-6