Another way for associating a graph to a group

Alain Bretto; Alain Faisant

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 1, page 1-8
  • ISSN: 0139-9918

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Bretto, Alain, and Faisant, Alain. "Another way for associating a graph to a group." Mathematica Slovaca 55.1 (2005): 1-8. <http://eudml.org/doc/32167>.

@article{Bretto2005,
author = {Bretto, Alain, Faisant, Alain},
journal = {Mathematica Slovaca},
keywords = {graph theory; graphical representation of groups},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Another way for associating a graph to a group},
url = {http://eudml.org/doc/32167},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Bretto, Alain
AU - Faisant, Alain
TI - Another way for associating a graph to a group
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 1
SP - 1
EP - 8
LA - eng
KW - graph theory; graphical representation of groups
UR - http://eudml.org/doc/32167
ER -

References

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  1. ANNEXSTEIN F.-BAUMSLAG M.-ROSENBERG A. L., Group action graphs and parallel architectures, SIAM J. Comput 19 (1990), 544-569. (1990) Zbl0698.68064MR1041547
  2. AKERS S.-KRISHNAMURTHY B., Group graphs as interconnection networks, In: Proc. 14th Internat. Conf. Fault Tolerant Comput., 1984, pp. 422-427. (1984) 
  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. (1995) Zbl0846.05042MR1373683
  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. (1991) Zbl0727.05029MR1123964
  5. The GAP Team (06 May 2002), GAP - Reference Manual, Release 4.3, http://www.gap-system.org. 
  6. GILLIBERT L., Representation graphique et informatique des groupes, Memoire de DEA Informatique, Universite de Caen, Departement d'informatique, Directeur A. Bretto, 2003. 
  7. JONES G. A., Graphs, groups and surfaces, Rend. Sem. Mat. Messina Ser. II 24 (2002), 71-85. Zbl1043.05040MR1964831
  8. JONES G. A.-SINGERMAN D., Theory of maps on orientable surfaces, Proc. London Math. Soc. (3) 37 (1978), 273-307. (1978) Zbl0391.05024MR0505721
  9. LAURI J.-SCAPELLATO R., Topics in Graphs Automorphisms and Reconstruction, London Math. Soc. Stud. Texts 54, Cambridge University Press, Cambridge 2003. MR1971819
  10. MCKAY B. D., Nauty User's Guide, Version 2.2, Computer Science Department, Australian National University. 

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