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On Construction and Identification of Graphs
Author(s) -
Boris Weisfeiler
Publication year - 1976
Publication title -
lecture notes in mathematics
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.545
H-Index - 61
eISSN - 1617-9692
pISSN - 0075-8434
DOI - 10.1007/bfb0089374
Subject(s) - mathematics , quotient , combinatorics , graph , permutation (music) , algebraic number , discrete mathematics , mathematical analysis , physics , acoustics
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.

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