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The Exact Degree Threshold for Complement Connectivity

Tekdaş, Arsen Berk
arXiv (All) · Papers
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combinatoricsg-2-2
For a graph $G$, we investigate sufficient degree conditions under which either $G$ or its complement $\overline{G}$ is $k$-connected. Motivated by a theorem of Hellwig and Volkmann, we introduce the notion of complement connectivity admissible pairs and define the parameter $\mathcal{C}(k)$ as the
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