On Construction and Identification of Graphs

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Dettagli Bibliografici
Autore principale: Weisfeiler, Boris, 1941-1985?
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 558
Soggetti:
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• On construction and identification of graphs, Boris Weisfeiler, 1976, Berlin [etc.], Springer, 1 volume (XIV-237 p.), Lecture notes in mathematics, 0-387-08051-1
• On Construction and Identification of Graphs, Texte imprimé, 9783662192757
Sommario:
  • Some remarks about the problem of graph identification
  • Motivation
  • A construction of a stationary graph
  • Properties of cells
  • Properties of cellular algebras of rank greater than one
  • Cellular algebras arising in the theory of permutation groups
  • Some classes of cellular algebras
  • Imprimitive cells and construction of factor-cells
  • Construction of the quotient in the case of cellular algebras of rank greater than one
  • On the structure of correct stationary graphs and cells having more than one normal subcell
  • Properties of primitive cells
  • Algebraic properties of cellular algebras
  • Some modifications of stabilization
  • Kernels and stability with respect to kernels
  • Deep stabilization
  • Examples of results using the stability of depth 1
  • Some definitions and explanations about exhaustive search
  • An algorithm of graph canonization
  • A practical algorithm of graph canonization
  • An algorithm of construction of strongly regular graphs
  • Tables of strongly regular graphs with n vertices, 10?n?28
  • Some properties of 25- and 26- families.