Michitaka Furuya - Forbidden subgraphs for constant domination number

dmtcs:4364 - Discrete Mathematics & Theoretical Computer Science, June 4, 2018, Vol. 20 no. 1 - https://doi.org/10.23638/DMTCS-20-1-19
Forbidden subgraphs for constant domination numberArticle

Authors: Michitaka Furuya

    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 $G$.


    Volume: Vol. 20 no. 1
    Section: Graph Theory
    Published on: June 4, 2018
    Accepted on: May 15, 2018
    Submitted on: March 13, 2018
    Keywords: Mathematics - Combinatorics

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