## Abstract We study classes of finite, simple, undirected graphs that are (1) lower ideals (or hereditary) in the partial order of graphs by the induced subgraph relation ≤~i~, and (2) well‐quasi‐ordered (WQO) by this relation. The main result shows that the class of cographs (__P~4~__‐free graphs
Letter graphs and well-quasi-order by induced subgraphs
✍ Scribed by Marko Petkovšek
- Book ID
- 108315633
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 137 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
We study bipartite graphs partially ordered by the induced subgraph relation. Our goal is to distinguish classes of bipartite graphs that are or are not well-quasi-ordered (wqo) by this relation. Answering an open question from [J Graph Theory 16 (1992), 489-502], we prove that P 7 -free bipartite g
## Abstract Let 𝒴 be a class of graphs and let ⪯ be the subgraph or the induced subgraph relation. We call ⪯ an __ideal__ (with respect to ⪯) if ⪯ implies that ⪯. In this paper, we study the ideals that are well‐quasiordered by ⪯. The following are our main results. If ⪯ is the subgraph relation, w