Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Structural properties of triple systems

2011/01/B/ST1/04056

Keywords:

triple system Steiner triple system Kirkman triple system Hanani triple system partial triple system subsystem cyclic system resolvable system almost resolvable system packing covering k-cycle system signature circulant k-star metamorphosis

Descriptors:

  • ST1_14: Discrete mathematics and combinatorics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Matematyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Mariusz Meszka 

Number of co-investigators in the project: 1

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 60 000 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2013-11-30

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (8)
  1. Chromatic index of projective triple systems
    Authors:
    M. Meszka
    Academic press:
    Journal of Combinatorial Designs (rok: 2013, tom: 21, strony: 531-540), Wydawca: Wiley Periodicals
    Status:
    Published
    DOI:
    10.1002/jcd.21368 - link to the publication
  2. Trinal decompositions of Steiner triple systems into triangles
    Authors:
    C.C. Lindner, M. Meszka, A. Rosa
    Academic press:
    Journal of Combinatorial Designs (rok: 2013, tom: 21, strony: 204-211), Wydawca: Wiley Periodicals
    Status:
    Published
    DOI:
    10.1002/jcd.21319 - link to the publication
  3. Cubic leaves
    Authors:
    M. Meszka, A.Rosa
    Academic press:
    Australasian Journal of Combinatorics (rok: 2015, tom: 61, strony: 114-129), Wydawca: Centre for Discrete Mathematics and Computing
    Status:
    Published
  4. Squashing maximum packings of K_n with 8-cycles into maximum packings of K_n with 4-cycles
    Authors:
    C.C. Lindner, G. Lo Faro, M. Meszka, A. Tripodi
    Academic press:
    Filomat (rok: 2014, tom: 28, strony: 887-896), Wydawca: Faculty of Sciences and Mathematics, University of Nis
    Status:
    Published
    DOI:
    10.2298/FIL1404887L - link to the publication
  5. Squashing minimum coverings of 6-cycles into minimum coverings of triples
    Authors:
    E. Billington, S. Kucukcifci, C.C. Lindner, M. Meszka
    Academic press:
    Aequationes Mathematicae (rok: 2015, tom: 89, strony: 1223-1239), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00010-014-0312-4 - link to the publication
  6. Triple metamorphosis of twofold triple systems
    Authors:
    C.C. Lindner, M. Meszka, A. Rosa
    Academic press:
    Discrete Mathematics (rok: 2013, tom: 313, strony: 1872-1883), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.disc.2011.12.006 - link to the publication
  7. From squashed 6-cycles to Steiner triple systems
    Authors:
    C.C. Lindner, M. Meszka, A. Rosa
    Academic press:
    Journal of Combinatorial Designs (rok: 2014, tom: 22, strony: 189-195), Wydawca: Wiley Periodicals
    Status:
    Published
    DOI:
    10.1002/jcd.21346 - link to the publication
  8. Palettes in block colourings of designs
    Authors:
    C.C. Lindner, M. Meszka, A. Rosa
    Academic press:
    Australasian Journal of Combinatorics (rok: 2013, tom: 56, strony: 235-243), Wydawca: Centre for Discrete Mathematics and Computing
    Status:
    Published