Department of Computer Science | Institute of Theoretical Computer Science | CADMO
Prof. Emo Welzl and Prof. Bernd Gärtner
Mittagsseminar Talk Information |
Date and Time: Tuesday, June 26, 2018, 12:15 pm
Duration: 30 minutes
Location: CHN C 14
Speaker: Pavel Valtr (Charles University)
Let P be a set of n points in strictly convex position in the plane. Let D_n be the graph whose vertex set is the set of all line segments with endpoints in P, where disjoint segments are adjacent. The chromatic number of this graph was first studied by Araujo, Dumitrescu, Hurtado, Noy, and Urrutia [2005] and then by Dujmovic and Wood [2007]. Improving on their estimates, we prove the following exact formula for the chromatic graph of D_n: \chi(D_n)=n-[\sqrt{n+1/4}-1/2]. Joint work with Ruy Fabila-Monroy, Jakob Jonsson, and David Wood.
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