Reduced incidence algebras description of cobweb posets and KoDAGs
نویسندگان
چکیده
منابع مشابه
Reduced Incidence algebras description of cobweb posets and KoDAGs
The notion of reduced incidence algebra of an arbitrary cobweb poset is delivered.
متن کاملOn incidence algebras description of cobweb posets
Abstract The explicite formulas for Möbius function and some other important elements of the incidence algebra of an arbitrary cobweb poset are delivered. For that to do one uses Kwaśniewski’s construction of his cobweb posets [8, 9]. The digraph representation of these cobweb posets constitutes a newly discovered class of orderable DAG’s [12, 6, 1] named here down KoDAGs with a kind of univers...
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The characterization of the large family of cobweb posets as DAGs and oDAGs is given. The dim 2 poset such that its Hasse diagram coincide with digraf of arbitrary cobweb poset Π is constructed. AMS Subject Classification: 05C20, 05C75, 06A07, 11B39
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SUMMARY Cobweb posets uniquely represented by directed acyclic graphs are such a generalization of the Fibonacci tree that allows joint combinatorial interpretation for all of them under admissibility condition. This interpretation was derived in the source papers ([6,7] and references therein to the first author).[7,6,8] include natural enquires to be reported on here. The purpose of this pres...
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Kwaśniewski’s cobweb posets uniquely represented by directed acyclic graphs are such a generalization of the Fibonacci tree that allows joint combinatorial interpretation for all of them under admissibility condition. This interpretation was derived in the source papers and it entailes natural enquieres already formulated therein. In our note we response to one of those problems. This is a tili...
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ژورنال
عنوان ژورنال: Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations
سال: 2017
ISSN: 0459-6854,2450-9329
DOI: 10.26485/0459-6854/2017/67.1/5