Csaba
D. Tóth
Assistant Professor
Department of Mathematics and Statistics
University of Calgary, Room MS432
2500 University Drive, NW
Calgary, AB, Canada T2N 1N4
+1 (403) 220-3950
cdtoth ♠ math.ucalgary.ca
Manuscripts
- Minimum convex partitions and maximum empty polytopes,
- Adrian Dumitrescu, Sariel Har-Peled, and Csaba D. Tóth,
- manuscript.
- Minimizing turns, turning angles, and crossings,
- Adrian Dumitrescu and Csaba D. Tóth,
- manuscript.
- Monotone paths in planar convex subdivisions,
- Adrian Dumitrescu and Csaba D. Tóth,
- in Abstracts of the 21st Fall
Workshop on Comput. Geom. (New York, NY, 2011).
- (abstract)
It is shown that for every subdivision of the plane into n convex faces,
exactly k of which are unbounded, there is a monotone polygonal path on
the boundaries of the faces that consists of at least Ω(log (n/k)/log log n)
segments, and this bound is the best possible.
- Conflict-free graph orientations with parity and degree constraints,
- Crossing angles of geometric graphs,
- Karin Arikushi and Csaba D. Tóth,
- in preparation, 2010.
- Lower bounds for simplex emptiness,
- Mashhood Ishaque, Diane L. Souvaine, and Csaba D. Tóth,
- manuscript, 2011.
- A tight bound for point guards in piece-wise convex art galleries,
- Vertex-colored encompassing graphs,
- Michael Hoffmann and Csaba D. Tóth,
- submitted, 2010.
- The Szemerédi-Trotter Theorem in the complex plane,
Publications