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» Computing Radial Drawings on the Minimum Number of Circles
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GD
2006
Springer
13 years 11 months ago
On the Decay of Crossing Numbers
The crossing number cr(G) of a graph G is the minimum number of crossings over all drawings of G in the plane. In 1993, Richter and Thomassen [RT93] conjectured that there is a co...
Jacob Fox, Csaba D. Tóth
ICPR
2006
IEEE
14 years 8 months ago
A Minimum Sphere Covering Approach to Pattern Classification
In this paper we present a minimum sphere covering approach to pattern classification that seeks to construct a minimum number of spheres to represent the training data and formul...
Jigang Wang, Predrag Neskovic, Leon N. Cooper
GD
2007
Springer
14 years 1 months ago
Moving Vertices to Make Drawings Plane
In John Tantalo’s on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by m...
Xavier Goaoc, Jan Kratochvíl, Yoshio Okamot...
SPIRE
2005
Springer
14 years 1 months ago
Necklace Swap Problem for Rhythmic Similarity Measures
Given two n-bit (cyclic) binary strings, A and B, represented on a circle (necklace instances). Let each sequence have the same number k of 1’s. We are interested in computing th...
Yoan José Pinzón Ardila, Raphaë...
CCCG
2004
13 years 9 months ago
Three-dimensional 1-bend graph drawings
We consider three-dimensional grid-drawings of graphs with at most one bend per edge. Under the additional requirement that the vertices be collinear, we prove that the minimum vo...
Pat Morin, David R. Wood