Shahriar Shahriari

activity

20152024

collaborators

4 papers

math.CO2024

$3$ -cluster-free families of subspaces

Gabriel Currier, Shahriar Shahriari

Three $k$ -dimensional subspaces $A$ , $B$ , and $C$ of an $n$ -dimensional vector space $V$ over a finite field are called a $3$ -cluster if $A \cap B \cap C = {0_{V}}$ and ye…

math.HO2022

Community, Collaboration, and Climate

Johanna Hardin, Shahriar Shahriari

The Department of Mathematics & Statistics at Pomona College has long worked to create an inclusive and welcoming space for all individuals to study mathematics. Many years ago, ou…

math.CO2018

Avoiding Brooms, Forks, and Butterflies in the Linear Lattices

Shahriar Shahriari, Song Yu

Let $n$ be a positive integer, $q$ a power of a prime, and $L_{n} (q)$ the poset of subspaces of an $n$ -dimensional vector space over a field with $q$ elements. This poset i…

math.CO2015

On Uniform f-vectors of Cutsets in the Truncated Boolean Lattice

Béla Bajnok, Shahriar Shahriari

Let $[n] = {1, 2, \dots, n}$ and let $2^{[n]}$ be the collection of all subsets of $[n]$ ordered by inclusion. $C \subseteq 2^{[n]}$ is a {\em cutset} if it meets every m…

3-cluster-free families of subspaces

Community, Collaboration, and Climate

Avoiding Brooms, Forks, and Butterflies in the Linear Lattices

On Uniform f-vectors of Cutsets in the Truncated Boolean Lattice

$3$ -cluster-free families of subspaces