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ARSCOM
2008
119views more  ARSCOM 2008»
13 years 6 months ago
Greedy Defining Sets in Latin Squares
A Greedy Defining Set is a set of entries in a Latin square with the property that when the square is systematically filled in with a greedy algorithm, the greedy algorithm succee...
Manouchehr Zaker
ARSCOM
2008
118views more  ARSCOM 2008»
13 years 6 months ago
Proper Partitions of a Polygon and k-Catalan Numbers
Let P be a polygon whose vertices have been colored (labeled) cyclically with the numbers 1, 2, . . . , c. Motivated by conjectures of Propp, we are led to consider partitions of ...
Bruce E. Sagan
ARSCOM
2008
78views more  ARSCOM 2008»
13 years 6 months ago
Three challenges in Costas arrays
We present 3 open challenges in the field of Costas arrays. They are: a) the determination of the number of dots on the main diagonal of a Welch array, and especially the maximal ...
Konstantinos Drakakis
ARSCOM
2008
117views more  ARSCOM 2008»
13 years 6 months ago
Subset Counting in Trees
Various enumeration problems for classes of simply generated families of trees have been the object of investigation in the past. We mention the enumeration of independent subsets,...
Stephan G. Wagner
ARSCOM
2008
85views more  ARSCOM 2008»
13 years 6 months ago
Minimal blocking sets in PG(2, 9)
We classify the minimal blocking sets of size 15 in PG(2, 9). We show that the only examples are the projective triangle and the sporadic example arising from the secants to the u...
Fernanda Pambianco, Leo Storme