BIBD's for (13, 5, 5), (16, 6, 5) and (21, 6, 4) Possessing Possibly an Automorphism of Order 3 (CROSBI ID 557087)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Martinjak, Ivica ; Pavčević, Mario-Osvin
engleski
BIBD's for (13, 5, 5), (16, 6, 5) and (21, 6, 4) Possessing Possibly an Automorphism of Order 3
When trying to enumerate all BIBD's for given parameters, their natural solution space appears to be huge and grows extremely with the number of points of the design. Therefore, constructive enumerations are often carried out by assuming additional constraints on design's structure, automorphisms being mostly used ones. It remains a hard task to construct designs with trivial automorphism groups - those with no additional symmetry - although it is believed that the most of the BIBD's belong to that case. In this paper, very many new designs with parameters 2-(13, 5, 5), 2-(16, 6, 5) and 2-(21, 6, 4) are constructed, assuming an action of an automorphism of order 3. Even more, it was possible to construct millions of such designs with no non-trivial automorphisms.
BIBD; incidence matrix; automorphism group; tactical decomposition; deterministic algorithm
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Podaci o prilogu
885-888.
2009.
objavljeno
Podaci o matičnoj publikaciji
World Academy of Science, Engineering and Technology Volume 58
Cemal Ardil
Venecija: World Academy of Science, Engineering and Technology (WASET)
2070-3724
Podaci o skupu
International Conference on Computer and Applied Mathematics
predavanje
28.10.2009-30.10.2009
Venecija, Italija