On recognition of strong graph bundles
Mathematica slovaca, Tome 50 (2000) no. 3, pp. 289-301
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Žerovnik, Janez. On recognition of strong graph bundles. Mathematica slovaca, Tome 50 (2000) no. 3, pp. 289-301. http://geodesic.mathdoc.fr/item/MASLO_2000_50_3_a3/

[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. | MR | Zbl

[2] HUSEMOLLER D.: Fibre Bundles. (Зrd ed.), Springer, Berlin, 1993. | MR | Zbl

[3] DÖRFLER W.-IMRICH W.: Über das starke Produkt von endlichen Graphen. Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 178 (1969), 247-262. | MR

[4] FEDER T.: Product graph representations. J. Graph Theory 16 (1992), 467-488. | MR | Zbl

[5] FEIGENBAUM J.-SCHÄFFER A. A.: Recognizing composite graphs is equivalent to testing graph isomorphism. SIAM J. Comput. 15 (1986), 619-627. | MR | Zbl

[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. | MR | Zbl

[7] FEIGENBAUM J.-SCHÄFFER A. A.: Finding the prime factors of strong direct product graphs in polynomial time. Discrete Math. 109 (1992), 77-102. | MR | Zbl

[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. | MR

[9] IMRICH W.-ŽEROVNIK J.: Factoring Cartesian-product graphs. J. Graph Theory 18 (1994), 557-567. | MR | Zbl

[10] IMRICH W.-PISANSKI T.-ŽEROVNIK J.: Recognizing Cartesian graph bundles. Discrete Math. 167/168 (1997), 393-403. | MR | Zbl

[11] IMRICH W.-IZBICKI H.: Associative products of graphs. Monatsh. Math. 80 (1975), 277-281. | MR | Zbl

[12] KLAVŽAR S.-MOHAR B.: Coloring graph bundles. J. Graph Theory 19 (1995), 145-155. | MR | Zbl

[13] KLAVŽAR S.-MOHAR B.: The chromatic numbers of graph bundles over cycles. Discrete Math. 138 (1995), 301-314. | MR | Zbl

[14] KWAK J. H.-LEE J.: Isomorphism classes of graph bundles. Canad. J. Math. 42 (1990), 747-761. | MR | Zbl

[15] KWAK J. H.-LEE J.: Characteristic polynomials of some graph Bundles II. Linear and Multilinear Algebra 32 (1992), 61-73. | MR | Zbl

[16] MCKENZIE R.: Cardinal multiplication of structures with a reflexive relation. Fund. Math. LXX (1971), 59-101. | MR | Zbl

[17] MOHAR B.-PISANSKI T.-ŠKOVIERA M.: The maximum genus of graph bundles. European J. Combin. 9 (1988), 301-314. | MR | Zbl

[18] PISANSKI T.-SHAWE-TAYLOR J.-VRABEC J.: Edge-colorability of graph bundles. J. Combin. Theory Ser. B 35 (1983), 12-19. | MR | Zbl

[19] PISANSKI T.-VRABEC J.: Graph bundles. Unpublished manuscript 1982.

[20] SABIDUSSI G.: Graph multiplication. Math. Z. 72 (1960), 446-457. | MR | Zbl

[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. | MR | Zbl

[22] WINKLER P. M.: Factoring a graph in polynomial time. European J. Combin. 8 (1987), 209-212. | MR | Zbl

[23] ZMAZEK B.-ŽEROVNIK J.: Recognizing weighted directed Cartesian graph bundles. Discuss. Math. (To appear). | MR | Zbl