On Construction and Identification of Graphs
Weisfeiler, Boris.
On Construction and Identification of Graphs [electronic resource] / by Boris Weisfeiler. - XVI, 237 p. online resource. - Lecture Notes in Mathematics, 558 0075-8434 ; . - Lecture Notes in Mathematics, 558 .
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.
9783540375395
10.1007/BFb0089374 doi
Mathematics.
Mathematics, general.
QA1-939
510
On Construction and Identification of Graphs [electronic resource] / by Boris Weisfeiler. - XVI, 237 p. online resource. - Lecture Notes in Mathematics, 558 0075-8434 ; . - Lecture Notes in Mathematics, 558 .
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.
9783540375395
10.1007/BFb0089374 doi
Mathematics.
Mathematics, general.
QA1-939
510