Peter D. Johnson

collaborators

2 papers

math.CO2021

Graphs with prescribed radius, diameter, and center

Kelly Guest, Andrew Johnson, Peter Johnson +3

Among other things, it is shown that for every pair of positive integers $r$ , $d$ , satisfying $1 < r < d \leq 2 r$ , and every finite simple graph $H,$ there is a connected graph $G$ with…

math.CO2020

On edge-weighted mean eccentricity of graphs

Peter Johnson, Fadekemi Janet Osaye

Let $G$ be a connected edge-weighted graph of order $n$ and size $m$ . Let $w : E (G) \to R^{\geq 0}$ be the weighting function. We assume that $w$ is normalised, that…