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Book synopsis

The last decade has seen parallel developments in computer science and combinatorics, both dealing with networks having strong symmetry properties. Both developments are centred on Cayley graphs: in the design of large interconnection networks, Cayley graphs arise as one of the most frequently used models; on the mathematical side, they play a central role as the prototypes of vertex-transitive graphs. The surveys published here provide an account of these developments, with a strong emphasis on the fruitful interplay of methods from group theory and graph theory that characterises the subject. Topics covered include: combinatorial properties of various hierarchical families of Cayley graphs (fault tolerance, diameter, routing, forwarding indices, etc.); Laplace eigenvalues of graphs and their relations to forwarding problems, isoperimetric properties, partition problems, and random walks on graphs; vertex-transitive graphs of small orders and of orders having few prime factors; distance transitive graphs; isomorphism problems for Cayley graphs of cyclic groups; infinite vertex-transitive graphs (the random graph and generalisations, actions of the automorphisms on ray ends, relations to the growth rate of the graph).

Book details

Book category Books in English Mathematics & science Mathematics Combinatorics & graph theory

• Full title: Graph Symmetry
• Subtitle: Algebraic Methods and Applications
• Author: Gena Hahn, Gert Sabidussi
• Language: English
• Binding: Paperback
• Number of pages: 418
• EAN: 9789048148851
• ISBN: 9048148855
• ID: 01973740
• Publisher: Springer Netherlands
• Weight: 613 g
• Dimensions: 240 × 160 × 22 mm
• Published: 2010

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