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» On numbers of Davenport-Schinzel sequences
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CCCG
2010
13 years 7 months ago
Combinatorial changes of euclidean minimum spanning tree of moving points in the plane
In this paper, we enumerate the number of combinatorial changes of the the Euclidean minimum spanning tree (EMST) of a set of n moving points in 2dimensional space. We assume that...
Zahed Rahmati, Alireza Zarei
COMPGEOM
2011
ACM
12 years 9 months ago
On the structure and composition of forbidden sequences, with geometric applications
Forbidden substructure theorems have proved to be among of the most versatile tools in bounding the complexity of geometric objects and the running time of geometric algorithms. T...
Seth Pettie
COMPGEOM
2010
ACM
13 years 10 months ago
A kinetic triangulation scheme for moving points in the plane
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
Haim Kaplan, Natan Rubin, Micha Sharir