Matroid 2.3.0
| Label | 2.3.0 |
|---|---|
| Id | r2_n3_*** |
| Rank | 2 |
| n | 3 |
A graph with this cycle matroid; edge labels are elements.
Basic invariants
Representability
| Characteristic set | not computed |
|---|---|
| Realizable | yes |
| Realizable char0 | not computed |
| Regular | yes |
| Binary | yes |
| Ternary | yes |
| Quaternary | yes |
| Graphic | yes |
Realization space
Geometry
Other
| Char poly splits | not computed |
|---|---|
| Simplicial arrangement | yes |
| Realization space: n qbar components | 1 |
Tutte polynomial
\(T = x^{2} + x + y\)
Combinatorics
Computed on the fly from the id.
Bases (3)
{1,2} {1,3} {2,3}Non-bases (0)
Circuits (1)
{1,2,3}Flats by rank (5)
- rank 0 (1): {}
- rank 1 (3): {1} {2} {3}
- rank 2 (1): {1,2,3}
Hyperplanes (3)
{1} {2} {3}Dual (rank 1)
Revlex encoding in this labeling (not canonicalized, so not linked): ***
Bases: {3} {2} {1}
Loops: none. Parallel classes of size > 1: none.
Downloads
- Record as JSON
- OSCAR:
matroid_from_revlex_basis_encoding("***", 2, 3)