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- W4361864583 abstract "We introduce the class of outerspatial 2-complexes as the natural generalisation of the class of outerplanar graphs to three dimensions. Answering a question of O-joung Kwon, we prove that a locally 2-connected 2-complex is outerspatial if and only if it does not contain a surface of positive genus as a subcomplex and does not have a space minor that is a generalised cone over $K_4$ or $K_{2,3}$. This is applied to nested plane embeddings of graphs; that is, plane embeddings constrained by conditions placed on a set of cycles of the graph." @default.
- W4361864583 created "2023-04-05" @default.
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- W4361864583 date "2021-03-29" @default.
- W4361864583 modified "2023-09-27" @default.
- W4361864583 title "Outerspatial 2-complexes: Extending the class of outerplanar graphs to three dimensions" @default.
- W4361864583 doi "https://doi.org/10.48550/arxiv.2103.15404" @default.
- W4361864583 hasPublicationYear "2021" @default.
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