We prove the result stated in the title. Furthermore, it is proved that for any > 0, there is a 1-tough chordal planar graph G such that the length of a longest cycle of G is less than |V (G )|.
Chordal Completions of Planar Graphs
β Scribed by F.R.K. Chung; D. Mumford
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 431 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
We prove that every planar graph on (n) vertices is contained in a chordal graph with at most (c n \log n) edges for some abolsute constant (c) and this is best possible to within a constant factor.
1994 Academic Press, Inc.
π SIMILAR VOLUMES
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