A circuit set characterization of antimatroids
β Scribed by Brenda L Dietrich
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 465 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An antimatroid is an accessible union-closed family of subsets of a ΓΏnite set. A number of classes of antimatroids are closed under taking minors such as point-search antimatroids of rooted (di)graphs, line-search antimatroids of rooted (di)graphs, shelling antimatroids of rooted trees, shelling ant
An antimatroid is a family of sets such that it contains an empty set, and it is accessible and closed under union of sets. An antimatroid is an 'antipodal' concept of matroid. We shall show that an antimatroid is derived from shelling of a poset if and only if it does not contain a minor isomorphi
An antimatroid is a family of sets such that it contains an empty set, and it is accessible and closed under union of sets. An antimatroid is a 'dual' or 'antipodal' concept of matroill. We shall show that an antimatroid is derived from shelling of a poset if and only if it. docs not contain a mino
Let G = (V, β¬) be a digraph of order n, satisfying Woodall's condition Let S be a subset of V of cardinality s. Then there exists a circuit including S and of length at most Min(n,2s). In the case of oriented graphs we obtain the same result under the weaker condition d'(x) + d-( y) 2 n -2 (which i