The partition dimension of the vertex amalgamation of some cycles

Let G=(V(G),E(G)) be a connected, finite, simple, and undirected graph. The distance between two vertices u,w∈V(G), denoted by d(u,w), is the shortest length of (u,w)-path in G. The distance between a vertex v∈V(G) is defined as min⁡{d(v,x):x∈S} where S⊂V(G), denoted by d(v,S). For an ordered partit...

Full description

Bibliographic Details
Main Authors: Hasmawati, Nurdin Hinding, Budi Nurwahyu, Ahmad Syukur Daming, Amir Kamal Amir
Format: Article
Language:English
Published: Elsevier 2022-06-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844022008842