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Helsinki University of Technology, 
     Laboratory for Theoretical Computer Science

Miscellaneous classification results for 2-designs

Reference:

Petteri Kaski and Patric R. J. Östergård. Miscellaneous classification results for 2-designs. Discrete Mathematics, 280(1–3):65–75, 2004.

Abstract:

An orderly algorithm combined with clique searching is used to show that there are—up to isomorphism, in all cases—325,062 resolvable - designs with 339,592 resolutions, 19,072,802 - designs, and 15,111,019 - designs. Properties of the classified designs are further discussed.

Keywords:

balanced incomplete block design, derived design, orderly algorithm, residual design, resolvable design

Suggested BibTeX entry:

@article{KaOs04b,
    author = {Petteri Kaski and Patric R. J. {\"O}sterg{\aa}rd},
    journal = {Discrete Mathematics},
    number = {1--3},
    pages = {65--75},
    title = {Miscellaneous classification results for 2-designs},
    volume = {280},
    year = {2004},
}

See dx.doi.org ...

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