Graph Miners .XIV. Extending an Embedding

Neil Robertson; P. D. Seymour

doi:10.1006/jctb.1995.1042

Graph Miners .XIV. Extending an Embedding

Neil Robertson, P. D. Seymour

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Let G be a graph, and let H be a subgraph of G drawn in a surface ∑. When can this drawing be extended to an embedding of the whole of G in ∑, up to 3-separations? We show that if such an extension is impossible, and if H is a subdivision of a simple 3-connected graph and is highly “representative”, then one of two obstructions is present. This is a lemma for use in a future paper.

Original language	English (US)
Pages (from-to)	23-50
Number of pages	28
Journal	Journal of Combinatorial Theory, Series B
Volume	65
Issue number	1
DOIs	https://doi.org/10.1006/jctb.1995.1042
State	Published - Sep 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1006/jctb.1995.1042

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Graph Miners .XIV. Extending an Embedding

Abstract

All Science Journal Classification (ASJC) codes

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