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CCCG
2010
13 years 6 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
COMGEO
2004
ACM
13 years 5 months ago
Convexity minimizes pseudo-triangulations
The number of minimum pseudo-triangulations is minimized for point sets in convex position. 2004 Elsevier B.V. All rights reserved.
Oswin Aichholzer, Franz Aurenhammer, Hannes Krasse...
SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 6 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 10 days ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...
ARSCOM
2000
79views more  ARSCOM 2000»
13 years 5 months ago
On exact bicoverings of 12 points
The minimum number of incomplete blocks required to cover, exactly times, all t-element subsets from a set V of cardinality v (v > t) is denoted
J. L. Allston, Mike J. Grannell, Terry S. Griggs, ...