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Algebra and Discrete Mathematics, 2011, Volume 12, Issue 2, Pages 31–37
(Mi adm114)
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This article is cited in 3 scientific papers (total in 3 papers)
RESEARCH ARTICLE
Minimax isomorphism algorithm and primitive posets
Vitalij M. Bondarenko Institute of Mathematics, Tereshchenkivska 3, 01601 Kyiv, Ukraine
Abstract:
The notion of minimax equivalence of posets, and a close notion of minimax isomorphism, introduced by the author are widely used in the study of quadratic Tits forms (in particular, for the description of $P$-critical and $P$-supercritical posets). In this paper, for an important special case, we modify an algorithm of classifying all posets minimax isomorphic to a given one (described earlier by the author together with M. V. Stepochkina) by introducing the concept of weak isomorphism.
Keywords:
critical poset, quadratic Tits form, minimax equivalence, weak isomorphism.
Received: 12.10.2011 Revised: 24.12.2011
Citation:
Vitalij M. Bondarenko, “Minimax isomorphism algorithm and primitive posets”, Algebra Discrete Math., 12:2 (2011), 31–37
Linking options:
https://www.mathnet.ru/eng/adm114 https://www.mathnet.ru/eng/adm/v12/i2/p31
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Abstract page: | 274 | Full-text PDF : | 85 | References: | 45 | First page: | 1 |
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