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: Topics in Matroid Theory
  name:
    name part: Pitsoulis, Leonidas S.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 127 p. 46 illus. online resource.
  abstract: Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at the heart of combinatorial optimization and has attracted various pioneers such as Edmonds, Tutte, Cunningham and Lawler among others. Matroid theory encompasses matrices, graphs and other combinatorial entities under a common, solid algebraic framework, thereby providing the analytical tools to solve related difficult algorithmic problems. The monograph contains a rigorous axiomatic definition of matroids along with other necessary concepts such as duality, minors, connectivity and representability as demonstrated in matrices, graphs and transversals. The author also presents a deep decomposition result in matroid theory that provides a structural characterization of graphic matroids, and show how this can be extended to signed-graphic matroids, as well as the immediate algorithmic consequences. .
  table of contents: 1.Introduction -- 2.Graph Theory, Vector Spaces and Transversals -- 3.Definition of Matroids -- 4.Representability, Duality, Minors, and Connectivity -- 5. Decomposition of Graphic Matroids -- 6.Signed-Graphic Matroids -- List of Symbols -- Index.
  note: by Leonidas S. Pitsoulis.
  subject:
    topic: Mathematics
  subject:
    topic: Algorithms
  subject:
    topic: Geometry
  subject:
    topic: Mathematical optimization
  subject:
    topic: Combinatorics
  subject:
    topic: Graph theory
  subject:
    topic: Mathematics
  subject:
    topic: Continuous Optimization
  subject:
    topic: Algorithms
  subject:
    topic: Combinatorics
  subject:
    topic: Graph Theory
  subject:
    topic: Geometry
  classification: QA402.5-402.6
  classification: 519.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Optimization
  identifier: 9781461489573
  identifier: http://dx.doi.org/10.1007/978-1-4614-8957-3
  record info:
    record creation date: 131023
    record change date: 20151116135200.0
    record identifier: 978-1-4614-8957-3