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» On Non-Polynomial Latin Squares
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STACS
2007
Springer
14 years 1 months ago
On Completing Latin Squares
We present a (2 3 − o(1))-approximation algorithm for the partial latin square extension (PLSE) problem. This improves the current best bound of 1 − 1 e due to Gomes, Regis, an...
Iman Hajirasouliha, Hossein Jowhari, Ravi Kumar, R...
ARSCOM
2008
119views more  ARSCOM 2008»
13 years 7 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
JCT
2011
93views more  JCT 2011»
12 years 10 months ago
A graph-theoretic approach to quasigroup cycle numbers
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
Brent Kerby, Jonathan D. H. Smith
COMBINATORICA
2004
51views more  COMBINATORICA 2004»
13 years 7 months ago
Nowhere-Zero 4-Flows, Simultaneous Edge-Colorings, And Critical Partial Latin Squares
It is proved in this paper that every bipartite graphic sequence with the minimum degree 2 has a realization that admits a nowhere-zero 4-flow. This result implies a conjecture ...
Rong Luo, Wenan Zang, Cun-Quan Zhang
JCT
2006
66views more  JCT 2006»
13 years 7 months ago
Rank 3 Latin square designs
A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group, for some prime p...
Alice Devillers, J. I. Hall