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EJC
2006
13 years 11 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
EJC
2006
13 years 11 months ago
The positive Bergman complex of an oriented matroid
We study the positive Bergman complex B+ (M) of an oriented matroid M, which is a certain subcomplex of the Bergman complex B(M) of the underlying unoriented matroid M. The positiv...
Federico Ardila, Caroline J. Klivans, Lauren Willi...
EJC
2006
13 years 11 months ago
Improving diameter bounds for distance-regular graphs
In this paper we study the sequence (ci)0id for a distance-regular graph. In particular we show that if d 2j and cj = c > 1 then c2j > c holds. Using this we give improveme...
Sejeong Bang, Akira Hiraki, Jacobus H. Koolen
EJC
2008
13 years 11 months ago
Compatible decompositions and block realizations of finite metrics
Andreas W. M. Dress, Katharina T. Huber, Jacobus H...
EJC
2008
13 years 11 months ago
Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
We present improved lower bounds on the sizes of small maximal partial ovoids and small maximal partial spreads in the classical symplectic and orthogonal polar spaces, and improv...
Jan De Beule, Andreas Klein, Klaus Metsch, Leo Sto...
EJC
2008
13 years 11 months ago
Majority constraints have bounded pathwidth duality
We study certain constraint satisfaction problems which are the problems of deciding whether there exists a homomorphism from a given relational structure to a fixed structure with...
Víctor Dalmau, Andrei A. Krokhin
EJC
2008
13 years 11 months ago
On the number of combinations without certain separations
Abstract. In this paper we enumerate the number of ways of selecting k objects from n objects arrayed in a line such that no two selected ones are separated by m-1, 2m-1,
Toufik Mansour, Yidong Sun
EJC
2008
13 years 11 months ago
Graph parameters and semigroup functions
Abstract. We prove a general theorem on semigroup functions that implies characterizations of graph partition functions in terms of the positive semidefiniteness (`reflection posit...
László Lovász, Alexander Schr...