Perfect codes and two-graphs

Jan Kratochvíl

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 4, page 755-760
  • ISSN: 0010-2628

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Kratochvíl, Jan. "Perfect codes and two-graphs." Commentationes Mathematicae Universitatis Carolinae 030.4 (1989): 755-760. <http://eudml.org/doc/17789>.

@article{Kratochvíl1989,
author = {Kratochvíl, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {t-perfect code; 2-graph; Seidel's switching},
language = {eng},
number = {4},
pages = {755-760},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Perfect codes and two-graphs},
url = {http://eudml.org/doc/17789},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Kratochvíl, Jan
TI - Perfect codes and two-graphs
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 4
SP - 755
EP - 760
LA - eng
KW - t-perfect code; 2-graph; Seidel's switching
UR - http://eudml.org/doc/17789
ER -

References

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  1. Astola J., The theory of Lee-codes, (research report), Lappeenranta, Lappeenranta Univ. of Technology, 1982. (1982) 
  2. Best M. R., A contribution to the nonexistence of perfect codes, (academisch proefschrift), Amsterdam, Math-Centrum, 1982. (1982) MR0726757
  3. Biggs N., Perfect codes in graphs, J. Combin. Theory Ser. B 15 (1973), 289-296. (1973) Zbl0256.94009MR0325457
  4. Cameron P. J., Thas J. A., Payne S. E., Polarities of generalized hexagons and perfect codes, Geometriae Dedicata 5 (1976), 525-528. (1976) Zbl0349.05018MR0485456
  5. Dvořaková, Ruličová I., Perfect codes in regular graphs, Comment. Math. Univ. Carolinae 29 (1988), 79-83. (1988) MR0937551
  6. Etienne G., Perfect codes and regular partitions in graphs and groups, Europ. J. Combinatorics 8 (1987), 139-144. (1987) Zbl0626.05051MR0896126
  7. Kratochvíl J., Perfect codes in general graphs, in Proceedings 7th Hungarian colloqium on Combinatorics, Eger 1987, Colloquia Math. Soc. J. Bolyai 52, pp.357-364. (1987) MR1221574
  8. Kratochvíl J., Křivánek M., On the computational complexity of codes in graphs, to appear in Proceedings MFCS'88, Karlovy Vary 1988, Lecture Notes in Comp. Sci. 324, Springer Verlag, Berlin 1988, pp. 396-404. (1988) MR1023443
  9. Kratochvíl J., Malý J., Matoušek J., On the existence of perfect codes m a random graph, to appear in Proceedings Random Graphs '87, Poznań 1987. (1987) 
  10. Post K. A., Nonexistence theorem on perfect Lee codes over large alphabets, Information and Control 29 (1975), 369-380. (1975) MR0446719
  11. Seidel J. J., Graphs and 2-graplis, 5-th Southeastern Confer. on Combin., Graphs, Computing, pp. 125-143, Utilitas Math. Publ. lnc. Winnipeg, 1974. (1974) MR0364028
  12. Smith D. H., Perfect codes in the graphs O k and L ( O k ) , Glasgow Math. J. 21 (1980), 169-172. (1980) Zbl0432.05048MR0582126
  13. Tietäväinen A., On the nonexistence of perfect codes over finite fields, SIAM J. Appl. Math. 24 (1973), 88-96. (1973) MR0325260

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