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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.
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Contenuti
Preface. Isomorphism and Cayley Graphs on Abelian Groups; B. Alspach. Oligomorphic Groups and Homogeneous Graphs; P.J. Cameron. Symmetry and Eigenvectors; A. Chan, C.D. Godsil. Graph Homomorphisms: Structure and Symmetry; G. Hahn, C. Tardif. Cayley Graphs and Interconnection Networks; B. Mohar. Finite Transitive Permutation Groups and Finite Vertex-Transitive Graphs; C.E. Praeger. Vertex-Transitive Graphs and Digraphs; R. Scapellato. Ends and Automorphisms of Infinite Graphs; M.E. Watkins. Index.
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Graph Symmetry
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Graph Symmetry
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 442 pp. Englisch. Codice articolo 9780792346685
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Buch. Condizione: Neu. Graph Symmetry | Algebraic Methods and Applications | Gert Sabidussi (u. a.) | Buch | Nato Science Series C: | xx | Englisch | 1997 | Springer Netherlands | EAN 9780792346685 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 102550629
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Graph Symmetry: Algebraic Methods and Applications (Nato Science Series C:, 497)
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Graph Symmetry
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Springer Netherlands, Springer Netherlands Jun 1997, 1997
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 442 pp. Englisch. Codice articolo 9780792346685
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