Matroid 2.3.2
| Label | 2.3.2 |
|---|---|
| Id | r2_n3_00* |
| 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
\(T = x^{2} y\)
Combinatorics
Computed on the fly from the id.
Bases (1)
{2,3}Non-bases (2)
{1,2} {1,3}Circuits (1)
{1}Flats by rank (4)
- rank 0 (1): {1}
- rank 1 (2): {1,2} {1,3}
- rank 2 (1): {1,2,3}
Hyperplanes (2)
{1,2} {1,3}Dual (rank 1)
Revlex encoding in this labeling (not canonicalized, so not linked): *00
Bases: {1}
Loops: 1. Parallel classes of size > 1: none.
Downloads
- Record as JSON
- OSCAR:
matroid_from_revlex_basis_encoding("00*", 2, 3)