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On the upper bound of the diameter of interchange graphs

✍ Scribed by Jianguo Qian


Book ID
108316288
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
308 KB
Volume
195
Category
Article
ISSN
0012-365X

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## 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 Ξ±. We give a proof of the best, so far, upper bound for the constant Ξ±. In particular, for th