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» Computing Radial Drawings on the Minimum Number of Circles
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GD
2006
Springer
15 years 9 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
16 years 7 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
16 years 4 days 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
15 years 11 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
15 years 7 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