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: Geodesic Convexity in Graphs
  name:
    name part: Pelayo, Ignacio M.
    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: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 112 p. 41 illus. online resource.
  abstract: Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most st udied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained during the last one and a half decade, relating these two invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products, boundary-type vertex sets, and perfect graph families. This monograph can serve as a supplement to a half-semester graduate course in geodesic convexity but is primarily a guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory. .
  note: by Ignacio M. Pelayo.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Differential geometry
  subject:
    topic: Graph theory
  subject:
    topic: Mathematics
  subject:
    topic: Graph Theory
  subject:
    topic: Differential Geometry
  subject:
    topic: Partial Differential Equations
  classification: QA166-166.247
  classification: 511.5
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Mathematics
  identifier: 9781461486992
  identifier: http://dx.doi.org/10.1007/978-1-4614-8699-2
  record info:
    record creation date: 130906
    record change date: 20151124021421.0
    record identifier: 978-1-4614-8699-2