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» On Non-Polynomial Latin Squares
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DCC
2003
IEEE
14 years 7 months 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
14 years 7 months 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
SODA
2003
ACM
121views Algorithms» more  SODA 2003»
13 years 8 months ago
An improved approximation algorithm for the partial latin square extension problem
Previous work on the partial Latin square extension (PLSE) problem resulted in a 2-approximation algorithm based on the LP relaxation of a three-dimensional assignment IP formulat...
Carla P. Gomes, Rommel G. Regis, David B. Shmoys
ENDM
2006
127views more  ENDM 2006»
13 years 7 months ago
Greedy defining sets in graphs and Latin squares
Greedy algorithm sometimes uses more than (G) colors while coloring a graph G. A greedy defining set is an object to eliminate these extra colors so that the greedy coloring resul...
Manouchehr Zaker
DMTCS
2007
99views Mathematics» more  DMTCS 2007»
13 years 7 months ago
Latin Square Thue-Morse Sequences are Overlap-Free
We define a morphism based upon a Latin square that generalizes the Thue-Morse morphism. We prove that fixed points of this morphism are overlap-free sequences, generalizing resu...
Christopher Robinson Tompkins