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DM
2006
63views more  DM 2006»
15 years 4 months ago
Efficient crossover designs for comparing test treatments with a control treatment
Within a large family of crossover designs this paper characterizes the mathematical structures of A-optimal and A-efficient crossover designs for the purpose of statistical compa...
A. Sadam Hedayat, Min Yang
DM
2006
79views more  DM 2006»
15 years 4 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...
DM
2006
86views more  DM 2006»
15 years 4 months ago
Minimal rankings and the arank number of a path
Given a graph G, a function f : V (G) {1, 2, . . . , k} is a k-ranking of G if f (u) = f (v) implies every u - v path contains a vertex w such that f (w) > f (u). A k-ranking ...
Victor Kostyuk, Darren A. Narayan, Victoria A. Wil...
DM
2006
91views more  DM 2006»
15 years 4 months ago
Restricted Dumont permutations, Dyck paths, and noncrossing partitions
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some ...
Alexander Burstein, Sergi Elizalde, Toufik Mansour
DM
2006
89views more  DM 2006»
15 years 4 months ago
On set systems with a threshold property
For n, k and t such that 1 < t < k < n, a set F of subsets of [n] has the (k, t)threshold property if every k-subset of [n] contains at least t sets from F and every (k -...
Zoltán Füredi, Robert H. Sloan, Ken Ta...