Reducing the maximum degree of a graph by deleting vertices: the extremal cases

Let $\lambda(G)$ denote the smallest number of vertices that can be removed from a non-empty graph $G$ so that the resulting graph has a smaller maximum degree. In a recent paper, we proved that if $n$ is the number of vertices of $G$, $k$ is the maximum degree of $G$, and $t$ is the number of verti...

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Bibliographic Details
Main Authors: Peter Borg, Kurt Fenech
Format: Article
Language:English
Published: Georgia Southern University 2018-10-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol5/iss2/5