Reduced Incidence algebras description of cobweb posets and KoDAGs
نویسنده
چکیده
The notion of reduced incidence algebra of an arbitrary cobweb poset is delivered.
منابع مشابه
On 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...
متن کاملCobweb Posets and KoDAG Digraphs are Representing Natural Join of Relations, their diBigraphs and the Corresponding Adjacency
sponding adjacency matrices is defined and then applied to investigate the so called cobweb posets and their Hasse digraphs called KoDAGs. KoDAGs are special orderable Directed Acyclic Graphs which are cover relation digraphs of cobweb posets introduced by the author few years ago. KoDAGs appear to be distinguished family of Ferrers digraphs which are natural join of a corresponding ordering ch...
متن کاملSome Cobweb Posets Digraphs’ Elementary Properties and Questions
A digraph that represents reasonably a scheduling problem should have no cycles i.e. it should be DAG i.e. a directed acyclic graph. Here down we shall deal with special kind of graded DAGs named KoDAGs. For their definition and first primary properties see [1], where natural join of di-bigraphs (directed bi-parted graphs) and their corresponding adjacency matrices is defined and then applied t...
متن کاملCobweb Posets and KoDAG Digraphs are Representing Natural Join of Relations, their di-Bigraphs
sponding adjacency matrices is defined and then applied to investigate the so called cobweb posets and their Hasse digraphs called KoDAGs. KoDAGs are special orderable Directed Acyclic Graphs which are cover relation digraphs of cobweb posets introduced by the author few years ago. KoDAGs appear to be distinguished family of Ferrers digraphs which are natural join of a corresponding ordering ch...
متن کاملCharacterization of Cobweb Posets as KoDAGs
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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ورودعنوان ژورنال:
- CoRR
دوره abs/0802.4293 شماره
صفحات -
تاریخ انتشار 2008