Ian Seong

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20232026

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6 papers · 1 filter

math.CO2026

The domination number of the $k$ -token graph of the complete bipartite graph $K_{m, n}$

Nathaniel Chinman, Antonio Cortijo, Beatrice Pedroni +2

This paper is about token graphs and domination number. Let $G = (X, E)$ denote an undirected graph that is connected, with no loops or multiple edges, vertex set $X$ , and edge set $E…

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…

math.CO2024

Some orbits of a two-vertex stabilizer in 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.CO2023

Using a Grassmann graph to recover the underlying projective geometry

Ian Seong

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

The domination number of the k-token graph of the complete bipartite graph Km,n​

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

Some orbits of a two-vertex stabilizer in a Grassmann graph

Using a Grassmann graph to recover the underlying projective geometry

The domination number of the $k$ -token graph of the complete bipartite graph $K_{m, n}$

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