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DM
2010
99views more  DM 2010»
10 years 8 months ago
Perfect octagon quadrangle systems
An octagon quadrangle is the graph consisting of an 8-cycle (x1, x2, ..., x8) with two additional chords: the edges {x1, x4} and {x5, x8}. An octagon quadrangle system of order v ...
Luigia Berardi, Mario Gionfriddo, Rosaria Rota
DM
2010
95views more  DM 2010»
10 years 10 months ago
Constructions of unitals in Desarguesian planes
Angela Aguglia, L. Giuzzi, Gábor Korchm&aac...
DM
2010
124views more  DM 2010»
10 years 10 months ago
Perfect dodecagon quadrangle systems
A dodecagon quadrangle is the graph consisting of two cycles: a 12-cycle (x1, x2, ..., x12) and a 4-cycle (x1, x4, x7, x10). A dodecagon quadrangle system of order n and index [D...
Lucia Gionfriddo, Mario Gionfriddo
DM
2010
86views more  DM 2010»
10 years 10 months ago
On the simple connectedness of hyperplane complements in dual polar spaces, II
Suppose is a dual polar space of rank n and H is a hyperplane of . Cardinali, De Bruyn and Pasini have already shown that if n 4 and the line size is greater than or equal to fo...
Justin McInroy, Sergey Shpectorov
DM
2010
123views more  DM 2010»
10 years 12 months ago
On the combinatorics of Galois numbers
Steffen Hitzemann, Winfried Hochstättler
DM
2010
115views more  DM 2010»
10 years 12 months ago
Walking in circles
We show that for every x1, . . . , xn, y1, . . . , yn ∈ S1 there exists i ∈ {1, . . . , n} such that n k=1 d(xi, xk) ≤ n k=1 d(xi, yk), where S1 is the unit circle and d is ...
Noga Alon, Michal Feldman, Ariel D. Procaccia, Mos...
DM
2010
115views more  DM 2010»
10 years 12 months ago
Finite geometry and the Gale transform
Antonio Cossidente, Angelo Sonnino
DM
2010
103views more  DM 2010»
10 years 12 months ago
The hyperplanes of DQ-(7, k) arising from embedding
We determine all hyperplanes of the dual polar space DQ−(7, K) which arise from embedding. This extends one of the results of [5] to the infinite case.
Bart De Bruyn
DM
2010
94views more  DM 2010»
10 years 12 months ago
Brick partitions of graphs
Bill Jackson, Tibor Jordán
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