今までの LYM 型不等式では、多くは有限集合たち＋包含関係を Hasse 図として図示することがよく働いた。 {0,1,2} のときの Hasse 図。ヨコ線、階層＝部分集合の要素の数を追加してみました。 そのときに重要なのは以下の二点である。 「要素の数」を高さとし ...

A React-based web application for creating and visualizing Hasse diagrams of partially ordered sets (posets). A Hasse diagram is a graphical representation of a partially ordered set (poset). In a ...

Computer programs can handle all sorts of data, from sums of money in bank accounts to sensor readings from scientific instruments. In many cases, the data are a set of discrete elements, such as ...

In this paper we study shellable posets (partially ordered sets), that is, finite posets such that the simplicial complex of chains is shellable. It is shown that all admissible lattices (including ...