On Construction and Identification of Graphs

260 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540080510
• Sprache: Englisch
• Erscheinungsdatum: 01.12.1976
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: B. Weisfeiler