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COMPGEOM
2009
ACM
14 years 7 days ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
MANSCI
2008
128views more  MANSCI 2008»
13 years 7 months ago
Optimizing Call Center Staffing Using Simulation and Analytic Center Cutting-Plane Methods
We consider the problem of minimizing staffing costs in an inbound call center, while maintaining an acceptable level of service in multiple time periods. The problem is complicat...
Júlíus Atlason, Marina A. Epelman, S...
EJC
2006
13 years 7 months ago
Parity reversing involutions on plane trees and 2-Motzkin paths
The problem of counting plane trees with n edges and an even or an odd number of leaves has been recently studied by Eu, Liu and Yeh, in connection with an identity on coloring ne...
William Y. C. Chen, Louis W. Shapiro, Laura L. M. ...
JCDCG
2000
Springer
13 years 11 months ago
Generalized Balanced Partitions of Two Sets of Points in the Plane
We consider the following problem. Let n 2, b 1 and q 2 be integers. Let R and B be two disjoint sets of n red points and bn blue points in the plane, respectively, such that no...
Atsushi Kaneko, Mikio Kano
GD
2004
Springer
14 years 28 days ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...