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DM
2010
99views more  DM 2010»
9 years 23 days 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»
9 years 3 months ago
Constructions of unitals in Desarguesian planes
Angela Aguglia, L. Giuzzi, Gábor Korchm&aac...
DM
2010
124views more  DM 2010»
9 years 3 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»
9 years 3 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»
9 years 4 months ago
On the combinatorics of Galois numbers
Steffen Hitzemann, Winfried Hochstättler
DM
2010
115views more  DM 2010»
9 years 4 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»
9 years 4 months ago
Finite geometry and the Gale transform
Antonio Cossidente, Angelo Sonnino
DM
2010
103views more  DM 2010»
9 years 4 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»
9 years 4 months ago
Brick partitions of graphs
Bill Jackson, Tibor Jordán
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