Name
Abstract | ||
|---|---|---|
Nested matroids were introduced by Crapo in 1965 and have appeared frequently in the literature since then. A flat of a matroid M is Hamiltonian if it has a spanning circuit. A matroid M is nested if and only if its Hamiltonian flats form a chain under inclusion; M is laminar if and only if, for every 1-element independent set X, the Hamiltonian flats of M containing X form a chain under inclusion. We generalize these notions to define the classes of k-closure-laminar and k-laminar matroids. This paper focuses on structural properties of these classes noting that, while the second class is always minor-closed, the first is if and only if k≤3. The main results are excluded-minor characterizations of the classes of 2-laminar and 2-closure-laminar matroids. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.ejc.2018.12.005 | European Journal of Combinatorics |
DocType | Volume | ISSN |
Journal | 79 | 0195-6698 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tara Fife | 1 | 0 | 0.34 |
| James Oxley | 2 | 20 | 4.05 |