Macaulay2 » Documentation
Packages » SimplicialDecomposability :: hTriangle
next | previous | forward | backward | up | index | toc

hTriangle -- determines the h-Triangle of a simplicial complex

Synopsis

Description

Definition 3.1 in [BW-1] defines the h-Triangle, a generalisation of the h-Vector.

If $S$ is pure, then the last row is the traditional h-Vector and the remainder is zeros.

i1 : R = QQ[a..e];
i2 : hTriangle simplicialComplex {a*b*c, c*d*e, a*d, a*e, b*d, b*e}

o2 = Tally{(2, 2) => 4 }
           (3, 0) => 1
           (3, 1) => 2
           (3, 2) => -1

o2 : Tally
i3 : hTriangle simplicialComplex {a*b*c*d*e}

o3 = Tally{(5, 0) => 1}

o3 : Tally

See also

Ways to use hTriangle :

For the programmer

The object hTriangle is a method function.