Esmeralda Nastase

collaborators

4 papers

math.CO2016

The maximum size of a partial spread II: Upper bounds

Esmeralda Nastase, Papa Sissokho

Let $n$ and $t$ be positive integers with $t < n$ , and let $q$ be a prime power. A partial $(t - 1)$ -spread of $PG (n - 1, q)$ is a set of $(t - 1)$ -dimensional subspaces of ${\rm PG}(…

math.CO2016

The structure of the minimum size supertail of a subspace partition

E. Nastase, P. Sissokho

Let $V = V (n, q)$ denote the vector space of dimension $n$ over the finite field with $q$ elements. A subspace partition $P$ of $V$ is a collection of nontrivial subspaces…

math.CO2016

The maximum size of a partial spread in a finite projective space

Esmeralda Nastase, Papa Sissokho

Let $n$ and $t$ be positive integers with $t < n$ , and let $q$ be a prime power. A $\textit{partial $(t-1)$-spread}$ of $PG (n - 1, q)$ is a set of $(t - 1)$ -dimensional subspaces of…

math.CO2011

Extremal sizes of subspace partitions

Olof Heden, Juliane Lehmann, Esmeralda Nastase +1

A subspace partition $Π$ of $V = V (n, q)$ is a collection of subspaces of $V$ such that each 1-dimensional subspace of $V$ is in exactly one subspace of $Π$ . The size of $Π$ is the nu…