DM
2010
13 years 7 months ago
2010
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 ...
DM
2010
13 years 10 months ago
2010
DM
2010
13 years 10 months ago
2010
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...
DM
2010
13 years 10 months ago
2010
DM
2010
13 years 10 months ago
2010
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...
DM
2010
13 years 11 months ago
2010
DM
2010
13 years 11 months ago
2010
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 ...
DM
2010
13 years 11 months ago
2010
DM
2010
13 years 11 months ago
2010
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.
DM
2010
13 years 11 months ago
2010
