0000000000288026

AUTHOR

Franco Eugeni

showing 2 related works from this author

On the type of partial t-spreads in finite projective spaces

1985

AbstractA partial t-spread in a projective space P is a set of mutually skew t-dimensional subspaces of P. In this paper, we deal with the question, how many elements of a partial spread L can be contained in a given d-dimensional subspace of P. Our main results run as follows. If any d-dimensional subspace of P contains at least one element of L, then the dimension of P has the upper bound d−1+(d/t). The same conclusion holds, if no d-dimensional subspace contains precisely one element of L. If any d-dimensional subspace has the same number m>0 of elements of L, then L is necessarily a total t-spread. Finally, the ‘type’ of the so-called geometric t-spreads is determined explicitely.

Discrete mathematicsCombinatoricsHyperplaneDimension (vector space)Projective spaceDiscrete Mathematics and CombinatoricsType (model theory)Element (category theory)Upper and lower boundsLinear subspaceSubspace topologyMathematicsTheoretical Computer ScienceDiscrete Mathematics
researchProduct

On n–Fold Blocking Sets

1986

An n-fold blocking set is a set of n-disjoint blocking sets. We shall prove upper and lower bounds for the number of components in an n-fold blocking set in projective and affine spaces.

Discrete mathematicsSet (abstract data type)CombinatoricsQuantitative Biology::BiomoleculesSteiner systemBlocking setFold (higher-order function)Blocking (radio)Projective planeAffine transformationUpper and lower boundsMathematics
researchProduct