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EJC
2010
14 years 9 months ago
Partial covers of PG(n, q)
In this paper, we investigate some properties of partial covers of PG(n, q). We show that a set of q + a hyperplanes, q 81, a < (q - 1)/3, or q > 13 and a (q - 10)/4, that...
Stefan M. Dodunekov, Leo Storme, Geertrui Van de V...
EJC
2010
14 years 9 months ago
Minors of Boolean functions with respect to clique functions and hypergraph homomorphisms
Each clone C on a fixed base set A determines a quasiorder on the set of all operations on A by the following rule: f is a C-minor of g if f can be obtained by substituting operati...
Erkko Lehtonen, Jaroslav Nesetril
EJC
2010
14 years 9 months ago
Shilla distance-regular graphs
A Shilla distance-regular graph (say with valency k) is a distance-regular graph with diameter 3 such that its second largest eigenvalue equals to a3. We will show that a3 divide...
Jack H. Koolen, Jongyook Park
EJC
2010
14 years 9 months ago
On the equivalence between real mutually unbiased bases and a certain class of association schemes
Mutually unbiased bases (MUBs) in complex vector spaces play several important roles in quantum information theory. At present, even the most elementary questions concerning the m...
Nicholas LeCompte, William J. Martin, William Owen...
EJC
2006
14 years 9 months ago
Tubes in PG(3, q)
A tube (resp. an oval tube) in PG(3, q) is a pair T = {L, L}, where {L} L is a collection of mutually disjoint lines of PG(3, q) such that for each plane of PG(3, q) containing L...
Peter J. Cameron, Norbert Knarr