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CCCG
2007
13 years 10 months ago
Capturing Crossings: Convex Hulls of Segment and Plane Intersections
We give a simple O(n log n) algorithm to compute the convex hull of the (possibly Θ(n2 )) intersection points in an arrangement of n line segments in the plane. We also show an a...
Esther M. Arkin, Joseph S. B. Mitchell, Jack Snoey...
CCCG
2007
13 years 10 months ago
Vertex Pops and Popturns
Greg Aloupis, Brad Ballinger, Prosenjit Bose, Mire...
CCCG
2007
13 years 10 months ago
Pointed Drawings of Planar Graphs
We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Oswin Aichholzer, Günter Rote, André S...
CCCG
2007
13 years 10 months ago
Cache-Oblivious Output-Sensitive Two-Dimensional Convex Hull
We consider the problem of two-dimensional outputsensitive convex hull in the cache-oblivious model. That is, we are interested in minimizing the number of cache faults caused whe...
Peyman Afshani, Arash Farzan
CCCG
2007
13 years 10 months ago
On Bus Graph Realizability
In this paper, we consider the following graph embedding problem: Given a bipartite graph G = (V1, V2; E), where the maximum degree of vertices in V2 is 4, can G be embedded on a t...
Anil Ada, Melanie Coggan, Paul Di Marco, Alain Doy...
CCCG
2007
13 years 10 months ago
Generalized Watchman Route Problem with Discrete View Cost
In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Pengpeng Wang, Ramesh Krishnamurti, Kamal Gupta
CCCG
2007
13 years 10 months ago
On a Geometric Approach to the Segment Sum Problem and Its Generalization
Given a sequence of n real numbers a1, a2, a3, . . . , an, the maximum segment sum problem is that of determining indices i and j (1 ≤ i ≤ j ≤ n) such that the sum s(i, j) =...
Asish Mukhopadhyay, Eugene Greene
CCCG
2007
13 years 10 months ago
The Ordinary Line Problem Revisited
Let P be a set of n points in the plane. A connecting line of P is a line that passes through at least two of its points. A connecting line is called ordinary if it is incident on...
Asish Mukhopadhyay, Eugene Greene