codimCount -- codimension counts of the chains of a chordal network

Synopsis

Usage:

codimCount N
Inputs:
- N, an instance of the type ChordalNet,
Optional inputs:
- GetTable => ..., default value false, get dynamic programming table
Outputs:
- a ring element, generating function of the codimensions of the chains

Description

This method classifies the number of chains of the network according to its codimension. The output is the generating function of such counts. For instance, if there are ten chains of codimension 4 and one chain of codimension 6 the output is $t^6+10t^4$.

i1 : I = adjacentMinorsIdeal(QQ,2,5);

o1 : Ideal of QQ[a..j]

i2 : N = chordalNet I;

i3 : chordalTria N;

i4 : codimCount N

       6      5     4
o4 = 5t  + 11t  + 5t

o4 : ZZ[t]

codimCount -- codimension counts of the chains of a chordal network

Synopsis

Description

Caveat

See also

Ways to use codimCount:

For the programmer