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GD
2006
Springer
15 years 3 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
CCCG
1997
15 years 1 months ago
On the number of internal and external visibility edges of polygons
In this paper we prove that for any simple polygon P with n vertices, the sum of the number of strictly internal edges and the number of strictly external visibility edges of P is...
Jorge Urrutia
APPML
2005
67views more  APPML 2005»
14 years 11 months ago
Semiharmonic bicyclic graphs
Let the trunk of a graph G be the graph obtained by removing all leaves of G. We prove that, for every integer c 2, there are at most finitely many trunks of semiharmonic graphs ...
Stefan Grünewald, Dragan Stevanovic
ICDM
2009
IEEE
153views Data Mining» more  ICDM 2009»
14 years 9 months ago
A New Clustering Algorithm Based on Regions of Influence with Self-Detection of the Best Number of Clusters
Clustering methods usually require to know the best number of clusters, or another parameter, e.g. a threshold, which is not ever easy to provide. This paper proposes a new graph-b...
Fabrice Muhlenbach, Stéphane Lallich
WALCOM
2010
IEEE
351views Algorithms» more  WALCOM 2010»
14 years 10 months ago
Pathwidth and Searching in Parameterized Threshold Graphs
Treewidth and pathwidth are important graph parameters that represent how close the graph is to trees and paths respectively. We calculate treewidth and pathwidth on parameterized ...
D. Sai Krishna, T. V. Thirumala Reddy, B. Sai Shas...