Perfect codes in graphs and their Cartesian powers [Abstract of thesis]

Jan Kratochvíl

Commentationes Mathematicae Universitatis Carolinae (1989)

  • Volume: 030, Issue: 1, page 193-194
  • ISSN: 0010-2628

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Kratochvíl, Jan. "Perfect codes in graphs and their Cartesian powers [Abstract of thesis]." Commentationes Mathematicae Universitatis Carolinae 030.1 (1989): 193-194. <http://eudml.org/doc/17717>.

@article{Kratochvíl1989,
author = {Kratochvíl, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {1},
pages = {193-194},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Perfect codes in graphs and their Cartesian powers [Abstract of thesis]},
url = {http://eudml.org/doc/17717},
volume = {030},
year = {1989},
}

TY - JOUR
AU - Kratochvíl, Jan
TI - Perfect codes in graphs and their Cartesian powers [Abstract of thesis]
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1989
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 030
IS - 1
SP - 193
EP - 194
LA - eng
UR - http://eudml.org/doc/17717
ER -

References

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  1. Angluin D., Local and global properties in networks of processors, Proceedings 12th Annual ACM Symposium on Theory of Computing (1980). (1980) 
  2. Biggs N. L., Algebraic Graph Theory, Cambridge Univ. Press, 1974. (1974) Zbl0284.05101MR0347649
  3. Biggs N. L., Perfect codes in graphs, J. Combin. Theory Ser. B 15 (1973), 289-296. (1973) Zbl0256.94009MR0325457
  4. Best M. R., Perfect codes hardly exist, IEEE Trans. Inform. Theory 29 (1983), 349-351. (1983) Zbl0517.94013MR0712395
  5. Dvořáková, Ruličová L., Perfect codes in regular graphs, Comment. Math. Univ. Carolinae 29 (1988), 79-83. (1988) MR0937551
  6. Fellows M., Hoover M., Perfect domination, Tech. Report CS86-7. Dept. of Comp. Sci., Univ. New Mexico, Albuquerque 1987. (1987) 
  7. Hammond P., Smith D. H., Perfect codes in the graphs O k , J. Combin. Theory Ser. B 19 (1975), 239-255. (1975) Zbl0282.94007MR0414437
  8. Kartochvíl J., Perfect codes over graphs, J. Combin.Theory Ser. B 40 (1986), 224-228. (1986) MR0838221
  9. Kratochvíl J., Perfect codes in general graphs, to appear in Proceedings VIIth Hungarian colloqium on combinatorics, Eger 1987. (1987) MR1141598
  10. Kratochvíl J., One-perfect codes over self-complementary graphs, Comment. Math. Univ. Carolinae 26 (1985), 589-595. (1985) MR0817829
  11. Kratochvíl J., Křivánek M., On the computational complexity of codes in graphs, Proc. MFCS '88, Lecture Notes in Comp. Sci. 324, Springer-Verlag, Berlin (1988), 396-404. (1988) MR1023443
  12. Kratochvíl J., Malý J., Matoušek J., On the existence of perfect codes in a random graph, to appear in Proceedings Random Graphs '87, Poznań (1987). (1987) 
  13. Kratochvíl J., Perfect codes and two-graphs, submitted 
  14. Smith D. H., Perfect codes in the graphs O k and L ( O k ) , Glasgow Math. J. 21 (1980), 169-172. (1980) Zbl0432.05048MR0582126
  15. 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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