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Title: Another way for associating a graph to a group (English)
Author: Bretto, Alain
Author: Faisant, Alain
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 55
Issue: 1
Year: 2005
Pages: 1-8
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Category: math
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MSC: 05C25
MSC: 20B25
idZBL: Zbl 1119.05054
idMR: MR2178531
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Date available: 2009-09-25T14:23:57Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131571
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Reference: [1] ANNEXSTEIN F.-BAUMSLAG M.-ROSENBERG A. L.: Group action graphs and parallel architectures.SIAM J. Comput 19 (1990), 544-569. Zbl 0698.68064, MR 1041547
Reference: [2] AKERS S.-KRISHNAMURTHY B.: Group graphs as interconnection networks.In: Proc. 14th Internat. Conf. Fault Tolerant Comput., 1984, pp. 422-427.
Reference: [3] BABAI L.: Automorphism groups, isomorphism, reconstruction.In: Handbook of Combinatorics, Vol. 1 2 (R. Graham, M. Grötschel, R. Lovasz, eds.), Elsevier Science B.V., Amsterdam, 1995, Chap. 27. Zbl 0846.05042, MR 1373683
Reference: [4] COOPERMAN G.-FINKELSTEIN L.-SARAWAGI N.: Applications of Cayley graphs.In: Appl. Algebra and Error-Correcting Codes. Lecture Notes in Comput. Sci. 508, Springer-Verlag, Berlin, 1991, pp. 367-378. Zbl 0727.05029, MR 1123964
Reference: [5] The GAP Team (06 May 2002): GAP - Reference Manual.Release 4.3, http://www.gap-system.org.
Reference: [6] GILLIBERT L. : Representation graphique et informatique des groupes.Memoire de DEA Informatique, Universite de Caen, Departement d'informatique, Directeur A. Bretto, 2003.
Reference: [7] JONES G. A.: Graphs, groups and surfaces.Rend. Sem. Mat. Messina Ser. II 24 (2002), 71-85. Zbl 1043.05040, MR 1964831
Reference: [8] JONES G. A.-SINGERMAN D.: Theory of maps on orientable surfaces.Proc. London Math. Soc. (3) 37 (1978), 273-307. Zbl 0391.05024, MR 0505721
Reference: [9] LAURI J.-SCAPELLATO R.: Topics in Graphs Automorphisms and Reconstruction.London Math. Soc. Stud. Texts 54, Cambridge University Press, Cambridge 2003. MR 1971819
Reference: [10] MCKAY B. D.: Nauty User's Guide, Version 2.2.Computer Science Department, Australian National University.
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