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» On Non-Polynomial Latin Squares
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STACS
2007
Springer
15 years 5 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...
86
Voted
ARSCOM
2008
119views more  ARSCOM 2008»
14 years 11 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
86
Voted
JCT
2011
93views more  JCT 2011»
14 years 1 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
74
Voted
COMBINATORICA
2004
51views more  COMBINATORICA 2004»
14 years 10 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»
14 years 11 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