On bounded partition dimension of different families of convex polytopes with pendant edges

• Main Authors: Khali, Adnan, Said Husain, Sh. K, Nadeem, Muhammad Faisal
• Format: Article
• Published: AIMS Press 2021
• Online Access: http://psasir.upm.edu.my/id/eprint/94422/; https://www.aimspress.com/article/doi/10.3934/math.2022245
• Institution: Universiti Putra Malaysia

Let ψ=(V,E) be a simple connected graph. The distance between ρ1,ρ2∈V(ψ) is the length of a shortest path between ρ1 and ρ2. Let Γ={Γ1,Γ2,…,Γj} be an ordered partition of the vertices of ψ . Let ρ1∈V(ψ) , and r(ρ1|Γ)={d(ρ1,Γ1),d(ρ1,Γ2),…,d(ρ1,Γj)} be a j -tuple. If the representation...