Forbidden subgraphs for constant domination number

In this paper, we characterize the sets $\mathcal{H}$ of connected graphs such that there exists a constant $c=c(\mathcal{H})$ satisfying $\gamma (G)\leq c$ for every connected $\mathcal{H}$-free graph $G$, where $\gamma (G)$ is the domination number of $G$.

Bibliographic Details
Main Author: Michitaka Furuya
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2018-06-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/4364/pdf