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» On Completing Latin Squares
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DM
2000
111views more  DM 2000»
14 years 11 months ago
Representations of graphs modulo n
A graph is said to be representable modulo n if its vertices can be labelled with distinct integers between 0 and n - 1 inclusive such that two vertices are adjacent if and only i...
Anthony B. Evans, Garth Isaak, Darren A. Narayan
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
DM
2011
211views Education» more  DM 2011»
14 years 2 months ago
A generalization of plexes of Latin squares
A k-plex of a latin square is a collection of cells representing each row, column, and symbol precisely k times. The classic case of k = 1 is more commonly known as a transversal....
Kyle Pula
COMBINATORICA
2004
51views more  COMBINATORICA 2004»
14 years 11 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