Specification: Matroids

Profiles: OSCAR v1.2, OSCAR v1.3, OSCAR v1.4, OSCAR v1.5, OSCAR v1.6, OSCAR v1.7, OSCAR v1.8

Matroid is currently documented in the OSCAR v1.7 profile through the rosetta-stone corpus. This page records the present encoding shape and should be read as a profile-specific type description.

Encoding Notes

• Set _type to "Matroid" when this type appears at the root of a serialized object.
• Interpret the payload under data according to the active namespace and profile version.
• Follow the linked examples for the currently documented payload shape and referenced ambient objects.

Canonical Example Payload

The following payload is taken directly from the current rosetta-stone corpus.

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.7.0"]},
  "_type": "Matroid",
  "data": {
    "matroid": {
      "BASES": [
        [1, 5, 6],
        [2, 5, 6],
        [3, 5, 6],
        [4, 5, 6],
        [0, 4, 6],
        [2, 4, 6],
        [3, 4, 6],
        [0, 3, 6],
        [1, 3, 6],
        [0, 2, 6],
        [1, 2, 6],
        [0, 1, 6],
        [0, 4, 5],
        [1, 4, 5],
        [3, 4, 5],
        [0, 3, 5],
        [2, 3, 5],
        [0, 2, 5],
        [1, 2, 5],
        [0, 1, 5],
        [1, 3, 4],
        [2, 3, 4],
        [0, 2, 4],
        [1, 2, 4],
        [0, 1, 4],
        [0, 2, 3],
        [1, 2, 3],
        [0, 1, 3]
      ],
      "_type": "matroid::Matroid",
      "_ns": {"polymake": ["https://polymake.org", "4.15"]},
      "N_ELEMENTS": 7
    },
    "groundset": ["1", "2", "3", "4", "5", "6", "7"],
    "gs2num": {"5": "5", "4": "4", "6": "6", "7": "7", "2": "2", "3": "3", "1": "1"}
  }
}

Documented Profiles in This Corpus

This table records the profile/version pairs currently represented by the rosetta-stone examples for this data type. Add new rows as new systems or encoding revisions are documented.

Rosetta Stone Examples

• Fano matroid
• Uniform matroid