Ian Seong

collaborators

3 papers

math.CO2025

The nucleus of the Grassmann graph $J_{q} (N, D)$

Jae-Ho Lee, Jongyook Park, Ian Seong

Let $F_{q}$ denote a finite field with $q$ elements. Let $N$ and $D$ denote integers with $N > D \geq 1$ . Let $V$ denote an $N$ -dimensional vector space over $\mathbb…

math.CO2025

Counting edges of different types in a local graph of a Grassmann graph

Ian Seong

Let $F_{q}$ denote a finite field with $q$ elements. Let $n, k$ denote integers with $n > 2 k \geq 6$ . Let $V$ denote a vector space over $F_{q}$ that has dimension $n$ .…

math.CO2024

A generalization of the Askey-Wilson relations using a projective geometry

Ian Seong

In this paper, we present a generalization of the Askey-Wilson relations that involves a projective geometry. A projective geometry is defined as follows. Let $h > k \geq 1$ denote in…

The nucleus of the Grassmann graph Jq​(N,D)

Counting edges of different types in a local graph of a Grassmann graph

A generalization of the Askey-Wilson relations using a projective geometry

The nucleus of the Grassmann graph $J_{q} (N, D)$