## Abstract We present here infinitely many planar graphs which have no strongly almost trivial embeddings. Then we conclude that β__strongly almost trivial__β is more strict concept than β__almost trivial.__β. Β© 2003 Wiley Periodicals, Inc. J Graph Theory 43: 319β326, 2003
On strongly almost trivial embeddings of graphs
β Scribed by Ryo Hanaki
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 181 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
Abstract
We present four new classes of graphs, two of which every member has a strongly almost trivial embedding, and the other two of which every member has no strongly almost trivial embeddings. We show that the property that a graph has a strongly almost trivial embedding and the property that a graph has no strongly almost trivial embeddings are not inherited by minors. Copyright Β© 2011 Wiley Periodicals, Inc. J Graph Theory
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