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The Hamilton-Waterloo problem: the case of Hamilton cycles and triangle-factors
Názov The Hamilton-Waterloo problem: the case of Hamilton cycles and triangle-factors Aut.údaje P. Horak, R. Nedela, A. Rosa Autor Horak P. (34%)
Spoluautori Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky
Rosa Alexander 1937- (33%)
Zdroj.dok. Discrete Mathematics. Vol. 284 284, no. 1-3 (2004), pp. 181-188. - Amsterdam : Elsevier B.V., 2004 Kľúč.slová matematika - mathematics Hamiltonský cyklus Hamiltonian cycle Jazyk dok. angličtina Krajina Holandsko Systematika 51 Anotácia We discuss a special case of the Hamilton-Waterloo problem in which a 2-factorization of K-n is sought consisting of 2-factors of two kinds: Hamiltonian cycles, and triangle-factors. We determine completely the spectrum of solutions for several infinite classes of orders n. Kategória publikačnej činnosti ADE Číslo archívnej kópie 28526 Kategória ohlasu KERANEN, Melissa S. - OZKAN, Sibel. The Hamilton-Waterloo problem with 4-cycles and a single factor of n-cycles. In Graphs and combinatorics. ISSN 0911-0119, 2013, vol. 29, no. 6, pp. 1827-1837.
BRYANT, Darryn - DANZIGER, Peter - DEAN, Matthew. On the Hamilton-Waterloo problem for bipartite 2-factors. In Journal of combinatorial designs. ISSN 1063-8539, 2013, vol. 21, no. 2, pp. 60-80.
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SHYU, Tay-Woei. Decomposition of complete graphs into paths of length three and triangles. In Ars combinatoria. ISSN 0381-7032, 2012, vol. 107, pp. 209-224.
LEI, Hongchuan - SHEN, Hao. The Hamilton-Waterloo problem for Hamilton cycles and Triangle-factors. In Journal of combinatorial designs. ISSN 1063-8539, 2012, vol. 20, no. 7, pp. 305-316.
BRYANT, Darryn - DANZIGER, Peter. On bipartite 2-factorizations of K-n-I and the oberwolfach problem. In Journal of graph theory. ISSN 0364-9024, 2011, vol. 68, no. 1, pp. 22-37.
LEI, Hongchuan - FU, Hung-Lin - SHEN, Hao. The Hamilton-Waterloo problem for Hamilton cycles and C-4k-factors. In Ars combinatoria. ISSN 0381-7032, 2011, vol. 100, no., pp. 341-348.
JORDON, Heather. Alspach´s problem : the case of Hamilton cycles and 5-cycles. In Electronic journal of combinatorics [online]. 2011, vol. 18, no. 1, article no. P82 [cit. 2014-03-05]. ISSN 1077-8926. Dostupné na: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v18i1p82/pdf
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DANZIGER, Peter - QUATTROCCHI, Gaetano - STEVENS, Brett. The Hamilton-Waterloo problem for cycle sizes 3 and 4. In Journal of combinatorial designs. ISSN 1063-8539, 2009, vol. 17, no. 4, pp. 342-352.
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LING, A. C. H. - DINITZ, J. H. The Hamilton-Waterloo problem with triangle-factors and Hamilton cycles : the case n ≡ 3 (mod 18). In Journal of combinatorial mathematics and combinatorial computing. ISSN 0835-3026, 2009, vol. 70, pp. 143-147.
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