Mathematics – Combinatorics
Scientific paper
2008-01-25
Adv. Stud. Contemp. Math. volume 16 (2), 2008 (April) pp. 197-218
Mathematics
Combinatorics
27 pages, 15 figures
Scientific paper
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 presentation is to report on the progress in solving computational problems which are quite easily formulated for the new class of directed acyclic graphs interpreted as Hasse diagrams. The problems posed there and not yet all solved completely are of crucial importance for the vast class of new partially ordered sets with joint combinatorial interpretation. These so called cobweb posets - are relatives of Fibonacci tree and are labeled by specific number sequences - natural numbers sequence and Fibonacci sequence included. The cobweb posets might be identified with a chain of di-bicliques i.e. by definition - a chain of complete bipartite one direction digraphs [6]. Any chain of relations is therefore obtainable from the cobweb poset chain of complete relations via deleting arcs in di-bicliques of the complete relations chain. In particular we response to one of those problems [1].
Dziemiańczuk M.
Kwasniewski Andrzej Krzysztof
No associations
LandOfFree
Cobweb posets - Recent Results does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Cobweb posets - Recent Results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cobweb posets - Recent Results will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-412982