On recognition of strong graph bundles

Janez Žerovnik

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 3, page 289-301
  • ISSN: 0232-0525

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Žerovnik, Janez. "On recognition of strong graph bundles." Mathematica Slovaca 50.3 (2000): 289-301. <http://eudml.org/doc/34515>.

@article{Žerovnik2000,
author = {Žerovnik, Janez},
journal = {Mathematica Slovaca},
keywords = {graph bundles; strong graph product; recognition algorithm},
language = {eng},
number = {3},
pages = {289-301},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On recognition of strong graph bundles},
url = {http://eudml.org/doc/34515},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Žerovnik, Janez
TI - On recognition of strong graph bundles
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 3
SP - 289
EP - 301
LA - eng
KW - graph bundles; strong graph product; recognition algorithm
UR - http://eudml.org/doc/34515
ER -

References

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  1. ABELLO J.-FELLOWS M. R.-STILLWELL J. C., On the complexity and combinatorics of covering finite complexes, Australas. J. Combin. 4 (1991), 103-112. (1991) Zbl0763.05035MR1129272
  2. HUSEMOLLER D., Fibre Bundles, (Зrd ed.), Springer, Berlin, 1993. (1993) Zbl0794.55001MR0370578
  3. DÖRFLER W.-IMRICH W., Über das starke Produkt von endlichen Graphen, Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 178 (1969), 247-262. (1969) MR0285454
  4. FEDER T., Product graph representations, J. Graph Theory 16 (1992), 467-488. (1992) Zbl0766.05092MR1185011
  5. FEIGENBAUM J.-SCHÄFFER A. A., Recognizing composite graphs is equivalent to testing graph isomorphism, SIAM J. Comput. 15 (1986), 619-627. (1986) Zbl0602.68033MR0837609
  6. FEIGENBAUM J.-HERSHBERGER J.-SCHÄFFER A. A., A polynomial time algorithm for finding the prime factors of Cartesian-product graphs, Discrete Appl. Math. 12 (1985), 123-138. (1985) Zbl0579.68028MR0808453
  7. FEIGENBAUM J.-SCHÄFFER A. A., Finding the prime factors of strong direct product graphs in polynomial time, Discrete Math. 109 (1992), 77-102. (1992) Zbl0786.68076MR1192372
  8. IMRICH W., Embedding graphs into Cartesian products, In: Graph Theory and Applications: East and west. Proceedings of the first China-USA international conference, held in Jinan, China, June 9-20, 1986 (M. F. Capobianco et al. eds.), Ann. New York Acad. Sci. 576 (1989), 266-274. (1986) MR1110824
  9. IMRICH W.-ŽEROVNIK J., Factoring Cartesian-product graphs, J. Graph Theory 18 (1994), 557-567. (1994) Zbl0811.05054MR1292975
  10. IMRICH W.-PISANSKI T.-ŽEROVNIK J., Recognizing Cartesian graph bundles, Discrete Math. 167/168 (1997), 393-403. (1997) Zbl0876.05094MR1446759
  11. IMRICH W.-IZBICKI H., Associative products of graphs, Monatsh. Math. 80 (1975), 277-281. (1975) Zbl0328.05136MR0404058
  12. KLAVŽAR S.-MOHAR B., Coloring graph bundles, J. Graph Theory 19 (1995), 145-155. (1995) Zbl0815.05029MR1315434
  13. KLAVŽAR S.-MOHAR B., The chromatic numbers of graph bundles over cycles, Discrete Math. 138 (1995), 301-314. (1995) Zbl0818.05035MR1322105
  14. KWAK J. H.-LEE J., Isomorphism classes of graph bundles, Canad. J. Math. 42 (1990), 747-761. (1990) Zbl0739.05042MR1074233
  15. KWAK J. H.-LEE J., Characteristic polynomials of some graph Bundles II, Linear and Multilinear Algebra 32 (1992), 61-73. (1992) Zbl0755.05078MR1198821
  16. MCKENZIE R., Cardinal multiplication of structures with a reflexive relation, Fund. Math. LXX (1971), 59-101. (1971) Zbl0228.08002MR0280430
  17. MOHAR B.-PISANSKI T.-ŠKOVIERA M., The maximum genus of graph bundles, European J. Combin. 9 (1988), 301-314. (1988) Zbl0642.05019MR0947023
  18. PISANSKI T.-SHAWE-TAYLOR J.-VRABEC J., Edge-colorability of graph bundles, J. Combin. Theory Ser. B 35 (1983), 12-19. (1983) Zbl0505.05034MR0723566
  19. PISANSKI T.-VRABEC J., Graph bundles, Unpublished manuscript 1982. (1982) 
  20. SABIDUSSI G., Graph multiplication, Math. Z. 72 (1960), 446-457. (1960) Zbl0093.37603MR0209177
  21. SOHN M. Y.-LEE J., Characteristic polynomials of some weighted graph bundles and its application to links, Internat. J. Math. Math. Sci. 17 (1994), 504-510. (1994) Zbl0808.05073MR1277736
  22. WINKLER P. M., Factoring a graph in polynomial time, European J. Combin. 8 (1987), 209-212. (1987) Zbl0625.05050MR0896134
  23. ZMAZEK B.-ŽEROVNIK J., Recognizing weighted directed Cartesian graph bundles, Discuss. Math. (To appear). Zbl0966.05049MR1781495

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