Squashing minimum coverings of 6-cycles into minimum coverings of triples
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| 024 | 7 | 0 | |a 10.1007/s00010-014-0312-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0312-4 | ||
| 245 | 0 | 0 | |a Squashing minimum coverings of 6-cycles into minimum coverings of triples |h [Elektronische Daten] |c [Elizabeth Billington, Selda Küçükçifçi, C. Lindner, Mariusz Meszka] |
| 520 | 3 | |a A 6-cycle is said to be squashed if we identify a pair of opposite vertices and name one of them with the other (thereby turning the 6-cycle into a pair of triples with a common vertex). A 6-cycle can be squashed in six different ways. The spectrum for 6-cycle systems that can be squashed into Steiner triple systems has been determined by Lindner etal.(J Comb Des 22:189-195, 2014). The squashing of maximum packings of K n with 6-cycles into maximum packings of K n with triples has also been fully dealt with by Lindner etal. (Squashing maximum packings of 6-cycles into maximum packings of triples (submitted)). The object of this paper is to extend these results to minimum coverings of K n with 6-cycles into minimum coverings of K n with triples. We give a complete solution. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Steiner triple systems |2 nationallicence | |
| 690 | 7 | |a Squashed 6-cycle systems |2 nationallicence | |
| 690 | 7 | |a Minimum coverings |2 nationallicence | |
| 700 | 1 | |a Billington |D Elizabeth |u School of Mathematics and Physics, The University of Queensland, QLD 4072, Brisbane, Australia |4 aut | |
| 700 | 1 | |a Küçükçifçi |D Selda |u Department of Mathematics, Koç University, Rumelifeneri Yolu, Sarıyer, 34450, Istanbul, Turkey |4 aut | |
| 700 | 1 | |a Lindner |D C. |u Department of Mathematics and Statistics, Auburn University, 36849-5307, Auburn, AL, USA |4 aut | |
| 700 | 1 | |a Meszka |D Mariusz |u AGH University of Science and Technology, 30059, Kraków, Poland |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 1223-1239 |x 0001-9054 |q 89:4<1223 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0312-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0312-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Billington |D Elizabeth |u School of Mathematics and Physics, The University of Queensland, QLD 4072, Brisbane, Australia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Küçükçifçi |D Selda |u Department of Mathematics, Koç University, Rumelifeneri Yolu, Sarıyer, 34450, Istanbul, Turkey |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lindner |D C. |u Department of Mathematics and Statistics, Auburn University, 36849-5307, Auburn, AL, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Meszka |D Mariusz |u AGH University of Science and Technology, 30059, Kraków, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 1223-1239 |x 0001-9054 |q 89:4<1223 |1 2015 |2 89 |o 10 | ||