## Abstract It is known that a planar graph on __n__ vertices has branch‐width/tree‐width bounded by $\alpha \sqrt {n}$. In many algorithmic applications, it is useful to have a small bound on the constant α. We give a proof of the best, so far, upper bound for the constant α. In particular, for th
Upper bounds on the sum of powers of the degrees of a simple planar graph
✍ Scribed by Jochen Harant; Stanislav Jendrol; Tomáš Madaras
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 131 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0364-9024
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