Graph Symmetry
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Graph Symmetry: Algebraic Methods and Applications(497 Nato Science Series C:)

Graph Symmetry: Algebraic Methods and Applications(497 Nato Science Series C:)


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About the Book

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).

Table of Contents:
Isomorphism and Cayley graphs on abelian groups.- Oligomorphic groups and homogeneous graphs.- Symmetry and eigenvectors.- Graph homomorphisms: structure and symmetry.- Cayley graphs and interconnection networks.- Some applications of Laplace eigenvalues of graphs.- Finite transitive permutation groups and finite vertex-transitive graphs.- Vertex-transitive graphs and digraphs.- Ends and automorphisms of infinite graphs.


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Product Details
  • ISBN-13: 9789048148851
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 240 mm
  • No of Pages: 418
  • Returnable: N
  • Sub Title: Algebraic Methods and Applications
  • ISBN-10: 9048148855
  • Publisher Date: 04 Dec 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: 497 Nato Science Series C:
  • Width: 160 mm


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