Johnny Lim

most citedSome Results On Spectrum And Energy Of Graphs With Loops

13 citations · 13 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2025

Closed Walks Of Low Dimension And Twisted Moments On Self-Loop Graphs

Johnny Lim

Let $G_{S}$ be a graph with loops attached at each vertex in $S \subseteq V (G) .$ In this article, we develop exact formulae for the number of closed $3$ - and $4$ -walks on $G_{S}$ in te…

math.CO2025

On the spectrum and energy of digraphs with self-loops

Kevin Fung, Johnny Lim

A digraph with self-loops $D_{S}$ with vertex set $V$ is a simple digraph with a self-loop attached at every vertex in $S \subset V .$ In this paper, we study the…

math.CO2023★ 13 cited

Some Results On Spectrum And Energy Of Graphs With Loops

Saieed Akbari, Hussah Al Menderj, Miin Huey Ang +2

Let $G_{S}$ be a graph with loops obtained from a graph $G$ of order $n$ and loops at $S \subseteq V (G)$ . In this paper, we establish a neccesary and sufficient condition on the bipa…