next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
Posets :: isGraded

isGraded -- determines if a poset is graded

Synopsis

Description

The poset P is graded if all of its maximalChains are the same length.

Clearly, the n chain and the n booleanLattice are graded.
i1 : n = 5;
i2 : isGraded chain n

o2 = true
i3 : isGraded booleanLattice n

o3 = true
However, the pentagon lattice is not graded.
i4 : P = poset {{1,2}, {1,3}, {3,4}, {2,5}, {4, 5}};
i5 : isGraded P

o5 = false

See also

Ways to use isGraded :