Hasse Diagram. In order theory a hasse diagram ˈ h æ s ə. Hasse diagram presented by.
Partially ordered sets posets a partial order is a binary relation over a set p which is reflexive anti symmetric and transitive i e which satisfies for all a b and c in p a a reflexivity. Is a type of mathematical diagram used to represent a finite partially ordered set in the form of a drawing of its transitive reduction concretely for a partially ordered set s one represents each element of s as a vertex in the plane and draws a line segment or curve that goes upward from x to y whenever y covers x that. Stack exchange network stack exchange network consists of 176 q a communities including stack overflow the largest most trusted online community for developers to learn share their.
Example 3 7 gross and yellen 2006 p.
As it can be seen the hasse diagram is a useful tool which completely describes the associated partial order. Dinesh and laxman 1 29 2015 1 2. A point is drawn for each element of the partially ordered set poset and joined with the line segment according to the following rules. When a 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 any help would be appreciated thank you.
