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COMBINATORICS
2000
101views more  COMBINATORICS 2000»
13 years 6 months ago
Bound Graph Polysemy
Bound polysemy is the property of any pair (G1, G2) of graphs on a shared vertex set V for which there exists a partial order on V such that any pair of vertices has an upper boun...
Paul J. Tanenbaum
FFA
2006
116views more  FFA 2006»
13 years 6 months ago
Amorphic association schemes with negative Latin square-type graphs
Applying results from partial difference sets, quadratic forms, and recent results of Brouwer and Van Dam, we construct the first known amorphic association scheme with negative La...
James A. Davis, Qing Xiang
JCT
2011
93views more  JCT 2011»
12 years 9 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
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
13 years 6 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
COMBINATORICS
2000
114views more  COMBINATORICS 2000»
13 years 6 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...