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Graph Symmetry - Algebraic Methods and Applications (Hardcover, 1997 ed.)
Loot Price: R5,684
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Graph Symmetry - Algebraic Methods and Applications (Hardcover, 1997 ed.)
Series: NATO Science Series C, 497
Expected to ship within 10 - 15 working days
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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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