Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
PeterBurbery`UndirectedGraphs`
RankPolynomial  |
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Details and Options
Examples
(1)
Basic Examples
(1)
Two rank polynomials:
In[1]:=
 | RankPolynomial |
 | BananaTreeGraph |
Out[1]=
147
(1+x.)
In[2]:=
| RankPolynomial |
| BookGraph |
Out[2]=
1+22x.+231+126(58+y.)+7(220+y.)+211248+52y.++631167+95y.+5+164538+22995y.+2240+35+649410+10836y.+1645+70+637911+3537y.+1011+125+5+761452+19764y.+4245+335+5+2121546+12825y.+4680+825+61++634941+3780y.+1710+405+47+2+721870+20898y.+11475+3510+585+46++316038+18711y.+12285+4725+1071+133+7+7290+10206y.+7938+3780+1134+210+22+
2
x.
4
x.
3
x.
5
x.
2
y.
6
x.
2
y.
7
x.
2
y.
3
y.
8
x.
2
y.
3
y.
10
x.
2
y.
3
y.
4
y.
9
x.
2
y.
3
y.
4
y.
11
x.
2
y.
3
y.
4
y.
5
y.
12
x.
2
y.
3
y.
4
y.
5
y.
13
x.
2
y.
3
y.
4
y.
5
y.
6
y.
14
x.
2
y.
3
y.
4
y.
5
y.
6
y.
15
x.
2
y.
3
y.
4
y.
5
y.
6
y.
7
y.
Change the indeterminate:
In[3]:=
| RankPolynomial |
 | BookGraph |
Out[3]=
1+22p.+231+126(58+q.)+7(220+q.)+211248+52q.++631167+95q.+5+164538+22995q.+2240+35+649410+10836q.+1645+70+637911+3537q.+1011+125+5+761452+19764q.+4245+335+5+2121546+12825q.+4680+825+61++634941+3780q.+1710+405+47+2+721870+20898q.+11475+3510+585+46++316038+18711q.+12285+4725+1071+133+7+7290+10206q.+7938+3780+1134+210+22+
2
p.
4
p.
3
p.
5
p.
2
q.
6
p.
2
q.
7
p.
2
q.
3
q.
8
p.
2
q.
3
q.
10
p.
2
q.
3
q.
4
q.
9
p.
2
q.
3
q.
4
q.
11
p.
2
q.
3
q.
4
q.
5
q.
12
p.
2
q.
3
q.
4
q.
5
q.
13
p.
2
q.
3
q.
4
q.
5
q.
6
q.
14
p.
2
q.
3
q.
4
q.
5
q.
6
q.
15
p.
2
q.
3
q.
4
q.
5
q.
6
q.
7
q.
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