We prove the conjecture made by \(\mathrm{O}\). V. Borodin in 1976 that the vertex set of any planar graph can be decomposed into two sets such that one of them induces a 3-degenerate graph and the other induces a 2-degenerate graph. that is, a forest. c. 1995 Academic Press. Inc.
Decomposing a Planar Graph into an Independent Set and a 3-Degenerate Graph
β Scribed by Carsten Thomassen
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 126 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0095-8956
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β¦ Synopsis
We prove the conjecture made by O. V. Borodin in 1976 that the vertex set of every planar graph can be decomposed into an independent set and a set inducing a 3-degenerate graph.
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