Graph Symmetry: Algebraic Methods and Applications

Front Cover
Gena Hahn, Gert Sabidussi
Springer Science & Business Media, Jun 30, 1997 - Mathematics - 418 pages
0 Reviews
The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.

What people are saying - Write a review

We haven't found any reviews in the usual places.


Isomorphism and Cayley graphs on abelian groups
Oligomorphic groups and homogeneous graphs
Symmetry and eigenvectors
structure and symmetry
Cayley graphs and interconnection networks
Some applications of Laplace eigenvalues of graphs
Finite transitive permutation groups and finite vertextransitive graphs
Vertextransitive graphs and digraphs
Ends and automorphisms of infinite graphs

Other editions - View all

Common terms and phrases

References to this book

Bibliographic information