Distance irregularity strength of graphs with pendant vertices

A vertex \(k\)-labeling \(\phi:V(G)\rightarrow\{1,2,\dots,k\}\) on a simple graph \(G\) is said to be a distance irregular vertex \(k\)-labeling of \(G\) if the weights of all vertices of \(G\) are pairwise distinct, where the weight of a vertex is the sum of labels of all vertices adjacent to that...

Full description

Bibliographic Details
Main Authors: Faisal Susanto, Kristiana Wijaya, Slamin, Andrea Semaničová-Feňovčíková
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2022-04-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol42/3/art/opuscula_math_4220.pdf