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20172026
most citedRiordan graphs II: Spectral properties

1 citations · 2 across the 10 of their papers we have counts for

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math.CO2026

Sharp threshold for universality of cokernels of classical random matrix models over the -adic integers

Jiwan Jung, Jungin Lee, Myungjun Yu

We prove that is the sharp threshold for universality of the distribution of cokernels of random matrices over . More precisely, let $α_n = \frac{c…

math.CO2024

On the convergence of the graph sequence for a multipartite tournament

Ji-Hwan Jung, Suh-Ryung Kim, Hyesun Yoon

Given a positive integer , the -step competition graph of a digraph , denoted by , has the same vertex set as and has an edge between vertices and if a…

math.CO2022

On the limit of the sequence for a multipartite tournament

Ji-Hwan Jung, Suh-Ryung Kim, Hyesun Yoon

For an integer , let be a Boolean block matrix with blocks for such that is a zero matrix and is a matrix with al…

math.CO2021

Structural properties of Toeplitz graphs

Seyed Ahmad Mojallal, Ji-Hwan Jung, Gi-Sang Cheon +2

In this paper, we study structural properties of Toeplitz graphs. We characterize -free Toeplitz graphs for an integer and give equivalent conditions for a Toeplitz…

math.CO2020

On competition indices and periods of multipartite tournaments

Ji-Hwan Jung, Suh-Ryung Kim, Hyesun Yoon

In this paper, we compute competition indices and periods of multipartite tournaments. We first show that the competition period of an acyclic digraph is one and is a…

math.CO2020

Encoding labelled -Riordan graphs by words and pattern-avoiding permutations

Kittitat Iamthong, Ji-Hwan Jung, Sergey Kitaev

The notion of a -Riordan graph generalizes that of a Riordan graph, which, in turn, generalizes the notions of a Pascal graph and a Toeplitz graph. In this paper we introduce th…

math.CO2020

Oriented Riordan graphs and their fractal property

Ji-Hwan Jung

In this paper, we use the theory of Riordan matrices to introduce the notion of an oriented Riordan graph. The oriented Riordan graphs are a far-reaching generalization of the well…

math.CO2020

Counting independent sets in Riordan graphs

Gi-Sang Cheon, Ji-Hwan Jung, Bumtle Kang +4

The notion of a Riordan graph was introduced recently, and it is a far-reaching generalization of the well-known Pascal graphs and Toeplitz graphs. However, apart from a certain su…

math.CO2019

Diameter of io-decomposable Riordan graphs of the Bell type

Ji-Hwan Jung

Recently, in the paper \cite{CJKM1} we suggested the two conjectures about the diameter of io-decomposable Riordan graphs of the Bell type. In this paper, we give a counterexample…

math.CO2018★ 1 cited

Riordan graphs II: Spectral properties

Gi-Sang Cheon, Ji-Hwan Jung, Sergey Kitaev +1

The authors of this paper have used the theory of Riordan matrices to introduce the notion of a Riordan graph in \cite{CJKM}. Riordan graphs are proved to have a number of interest…

math.CO2017★ 1 cited

Riordan graphs I: Structural properties

Gi-Sang Cheon, Ji-Hwan Jung, Sergey Kitaev +1

In this paper, we use the theory of Riordan matrices to introduce the notion of a Riordan graph. The Riordan graphs are a far-reaching generalization of the well known and well stu…