Graph Symmetry

Name: Graph Symmetry
Brand: Springer Netherlands
SKU: 9789048148851
Price: 1151.91 RON
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Algebraic Methods and Applications

Autor: Gena Hahn, Gert Sabidussi

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Editura: Springer Netherlands

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The last decade has seen parallel developments in computer science and combinatorics, both dealing w...

Informații despre carte

Autor

Gena Hahn, Gert Sabidussi

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

418

EAN

9789048148851

ISBN

9048148855

Enbook ID

01973740

Editura

Springer Netherlands

Greutate

613

Dimensiuni

160 x 240 x 22

Descriere completă

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).

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Graph Symmetry

Algebraic Methods and Applications

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