It is conjectured that for every pair (l,m) of odd integers greater than 2 with m=1 (mod l), there exists a cyclic two-factorization of Klm having exactly (m-1)/2 factors of type lm and all the others of type ml. The authors prove the conjecture in the affirmative when l = 1(mod4) and m≥l2-l+1.
Merola, F., & Traetta, T. (2016). Infinitely many cyclic solutions to the Hamilton-Waterloo problem with odd length cycles. DISCRETE MATHEMATICS, 339(9), 2267-2283.
Titolo: | Infinitely many cyclic solutions to the Hamilton-Waterloo problem with odd length cycles |
Autori: | |
Data di pubblicazione: | 2016 |
Rivista: | |
Citazione: | Merola, F., & Traetta, T. (2016). Infinitely many cyclic solutions to the Hamilton-Waterloo problem with odd length cycles. DISCRETE MATHEMATICS, 339(9), 2267-2283. |
Handle: | http://hdl.handle.net/11590/304536 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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