On the path partition of graphs

Let \(G\) be a graph of order \(n\). The maximum and minimum degree of \(G\) are denoted by \(\Delta\) and \(\delta\), respectively. The path partition number \(\mu(G)\) of a graph \(G\) is the minimum number of paths needed to partition the vertices of \(G\). Magnant, Wang and Yuan conjectured that...

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Bibliographic Details
Main Authors: Mekkia Kouider, Mohamed Zamime
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-07-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/6/art/opuscula_math_4340.pdf