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Existence results for pentagonal geometries
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- Forbes, Anthony D. (author)
- School of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, UK
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- Griggs, Terry S. (author)
- School of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, UK
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- Stokes, Klara (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Diskret matematik
- (creator_code:org_t)
- University of Queensland Press, 2022
- 2022
- English.
- In: The Australasian Journal of Combinatorics. - : University of Queensland Press. - 1034-4942. ; 82:1, s. 95-114
- Journal article (peer-reviewed)
Abstract
Subject headings
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- New results on pentagonal geometries PENT(k, r) with block sizes k = 3 or k = 4 are given. In particular we completely determine the existence spectra for PENT(3, r) systems with the maximum number of opposite line pairs as well as those without any opposite line pairs. A wide-ranging result about PENT(3, r) with any number of opposite line pairs is proved. We also determine the existence spectrum of PENT(4, r) systems with eleven possible exceptions.
Subject headings
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Keyword
- Mathematics
- matematik
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- ref (subject category)
- art (subject category)
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