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» On the number of rectangular partitions
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ALGORITHMICA
2002
93views more  ALGORITHMICA 2002»
14 years 9 months ago
Improved Algorithms for Uniform Partitions of Points
We consider the following one- and two-dimensional bucketing problems: Given a set S of n points in R1 or R2 and a positive integer b, distribute the points of S into b equal-size ...
Pankaj K. Agarwal, Binay K. Bhattacharya, Sandeep ...
JCO
2002
77views more  JCO 2002»
14 years 9 months ago
Traffic Partition in WDM/SONET Rings to Minimize SONET ADMs
SONET(SynchronousOpticalNETworks)add-dropmultiplexers(ADMs)arethedominantcostfactor in the WDM(Wavelength Division Multiplexing)/SONET rings. The number of SONET ADMs required by a...
Gruia Calinescu, Peng-Jun Wan
JCT
1998
100views more  JCT 1998»
14 years 9 months ago
2-Partition-Transitive Tournaments
Given a tournament score sequence s1 ≥ s2 ≥ · · · ≥ sn, we prove that there exists a tournament T on vertex set {1, 2, . . . , n} such that the degree of any vertex i is ...
Barry Guiduli, András Gyárfás...
SMC
2007
IEEE
110views Control Systems» more  SMC 2007»
15 years 4 months ago
A validity index based on cluster symmetry
— An important consideration in clustering is the determination of the correct number of clusters and the appropriate partitioning of a given data set. In this paper, a newly dev...
Sriparna Saha, Sanghamitra Bandyopadhyay
JCT
2010
113views more  JCT 2010»
14 years 8 months ago
Equations resolving a conjecture of Rado on partition regularity
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
Boris Alexeev, Jacob Tsimerman