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COMBINATORICS
1999
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14 years 4 days 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
DCC
2003
IEEE
15 years 2 days ago
Some New Maximal Sets of Mutually Orthogonal Latin Squares
Two ways of constructing maximal sets of mutually orthogonal Latin squares are presented. The first construction uses maximal partial spreads in PG(3, 4)\ PG(3, 2) with r lines, wh...
Patrick Govaerts, Dieter Jungnickel, Leo Storme, J...
DCC
2006
IEEE
15 years 2 days ago
New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices
Using Hadamard matrices and mutually orthogonal Latin squares, we construct two new quasi-symmetric designs, with parameters 2 (66, 30, 29) and 2 - (78, 36, 30). These are the fir...
Carl Bracken, Gary McGuire, Harold N. Ward