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- W3198626688 abstract "The age $mathcal{A}(G)$ of a graph $G$ (undirected and without loops) is the collection of finite induced subgraphs of $G$, considered up to isomorphy and ordered by embeddability. It is well-quasi-ordered (wqo) for this order if it contains no infinite antichain. A graph is emph{path-minimal} if it contains finite induced paths of unbounded length and every induced subgraph $G'$ with this property embeds $G$. We construct $2^{aleph_0}$ path-minimal graphs whose ages are pairwise incomparable with set inclusion and which are wqo. Our construction is based on uniformly recurrent sequences and lexicographical sums of labelled graphs" @default.
- W3198626688 created "2021-09-13" @default.
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- W3198626688 date "2020-01-01" @default.
- W3198626688 modified "2023-09-27" @default.
- W3198626688 title "Graphs containing finite induced paths of unbounded length." @default.
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