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» On Non-Polynomial Latin Squares
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LATIN
2010
Springer
14 years 2 months ago
Lipschitz Unimodal and Isotonic Regression on Paths and Trees
Abstract. We describe algorithms for finding the regression of t, a sequence of values, to the closest sequence s by mean squared error, so that s is always increasing (isotonicit...
Pankaj K. Agarwal, Jeff M. Phillips, Bardia Sadri
COMBINATORICS
2000
91views more  COMBINATORICS 2000»
13 years 7 months ago
A Construction Method for Complete Sets of Mutually Orthogonal Frequency Squares
A construction is described for combining affine designs with complete sets of mutually orthogonal frequency squares to produce other complete sets. Key words: Matrices, orthogona...
Vassili C. Mavron
FFA
2006
116views more  FFA 2006»
13 years 7 months ago
Amorphic association schemes with negative Latin square-type graphs
Applying results from partial difference sets, quadratic forms, and recent results of Brouwer and Van Dam, we construct the first known amorphic association scheme with negative La...
James A. Davis, Qing Xiang
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
13 years 7 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
COMBINATORICS
2000
74views more  COMBINATORICS 2000»
13 years 7 months ago
Frequency Squares and Affine Designs
The known methods for constructing complete sets of mutually orthogonal frequency squares all yield one of two parameter sets. We show that almost all these constructions can be d...
Vassili C. Mavron