Isomorphic factorisations of complete graphs into factors with a given diameter

Pavol Híc; Daniel Palumbíny

Mathematica Slovaca (1987)

  • Volume: 37, Issue: 3, page 247-254
  • ISSN: 0139-9918

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Híc, Pavol, and Palumbíny, Daniel. "Isomorphic factorisations of complete graphs into factors with a given diameter." Mathematica Slovaca 37.3 (1987): 247-254. <http://eudml.org/doc/34259>.

@article{Híc1987,
author = {Híc, Pavol, Palumbíny, Daniel},
journal = {Mathematica Slovaca},
keywords = {isomorphic factorization},
language = {eng},
number = {3},
pages = {247-254},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Isomorphic factorisations of complete graphs into factors with a given diameter},
url = {http://eudml.org/doc/34259},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Híc, Pavol
AU - Palumbíny, Daniel
TI - Isomorphic factorisations of complete graphs into factors with a given diameter
JO - Mathematica Slovaca
PY - 1987
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 37
IS - 3
SP - 247
EP - 254
LA - eng
KW - isomorphic factorization
UR - http://eudml.org/doc/34259
ER -

References

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  1. BOLLOBÁS B., Extremal problems in graph theory, J. Gгaph Theory 1, 1977, 117-123. (1977) Zbl0376.05041MR0450129
  2. BOSÁK J., Disjoint factors of diameter two in complete graphs, J. Combinatorial Theory 16, 1974, 57-63. (1974) Zbl0256.05117MR0351901
  3. BOSÁK J., ERDÖS P., ROSA A., Decompositions of complete graphs into factors with diameter two, Mat. časopis 21, 1971, 14-28. (1971) MR0321798
  4. BOSÁK J., ROSA A., ZNÁM Š., On decompositions of complete gгaphs into factoгs with given diameters, In: Theory of Gгaphs, Pгoc. Colloq. Tihany, 1966, Akadémiai Kiadó, Budapest 1968, 37-56. (1966) 
  5. HARARY F., ROBINSON R. W., WORMALD N. C., Isomoгphic factoriasation, I.: Complete graphs. Tгans. Ameг. Math. Soc. 242, 243-260. MR0545305
  6. KÖTZIG A., ROSA A., Decomposition of complete graphs into isomorphic factoгs with a given diameter, Bull. London Math. Soc. 7, 1975, 51-57. (1975) MR0369175
  7. PALUMBÍNY D., On decompositions of complete gгaphs into factoгs with equal diameteгs, Boll. Un. Mat. Ital., 7, 1973, 420-428. (1973) MR0325465
  8. PALUMBÍNY D., Factorisations of complete graphs into isomorphic factoгs with a given diameter, In: Zborník Pedagogickej fakulty v Nitгe, Matematika 2, 1982, 21-32. (1982) 
  9. SAUER N., On the factoгisation of the complete graph into factors of diameter 2, J. Combinatorial Theoгy 9, 1970, 423-426. (1970) MR0278987
  10. TOMASTA P., Decompositions of gгaphs and hypeгgгaphs into isomorphic factors with a given diameter, Czech. Math. J., 27, 1977, 598-608. (1977) MR0472608
  11. TOMASTA P., On decompositions of complete k-uniform hypergraphs, Czech. Math. J., 28, 1978, 120-126. (1978) Zbl0375.05044MR0480170
  12. ZNÁM Š., On a conjecture of Bollobás and Bosák, J. Graph Theory, 6, 1982, 139-146. (1982) Zbl0497.05049MR0655199

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