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
Matroids arisen from matrogenic graphs
✍ Scribed by Guoli Ding; Peter L. Hammer
- Book ID
- 104113724
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 444 KB
- Volume
- 165-166
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Let G be a finite simple graph and let 4(G) be the set of subsets X of V(G) such that the subgraph of G induced by X is threshold. If 4(G) is the independence system of a matroid, then G is called matrogenic [3]. In this paper, we characterize matroids arising from matrogenic graphs.
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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