Preprint
Aug 2026
On the Restricted Edge-Cuts of Optimal 1-Planar Graphs
The restricted edge-connectivity of a graph is the minimum size of an edge-cut whose removal leaves every component with at least two vertices. In 2024, Zhang et al. showed that the restricted edge-connectivity of any optimal $1$-planar graph belongs to $\{8,10,12\}$. In this paper, we exclude $8$ as a possible value,...
Licheng Zhang, Z. Ouyang, Yuan-Qiu Huang et al.
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