Geodesic
Minimax isomorphism algorithm and primitive posets
Algebra and discrete mathematics, Tome 12 (2011) no. 2, pp. 31-37

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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, minimax equivalence, weak isomorphism.
Mots-clés : quadratic Tits form 
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     author = {Vitalij M. Bondarenko},
     title = {Minimax isomorphism algorithm and primitive posets},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2011_12_2_a2/}
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Vitalij M. Bondarenko. Minimax isomorphism algorithm and primitive posets. Algebra and discrete mathematics, Tome 12 (2011) no. 2, pp. 31-37. http://geodesic.mathdoc.fr/item/ADM_2011_12_2_a2/