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arXiv · 2606.00533

The number of cut-edges and conflict-free connection number in planar graphs

Pham Hoang Ha·Dang Dinh Hanh·Vu Quang Minh
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Abstract

A \textit{cut-edge} of a connected graph is an edge whose deletion increases the number of components. In this paper, we first state some conditions for a planar graph to have a few cut-edges. After that, we use the main results to study the conditions for a colored planar graph to have a bounded conflict-free connection number.

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Pham Hoang Ha, Dang Dinh Hanh, Vu Quang Minh. 2026-05-30. The number of cut-edges and conflict-free connection number in planar graphs. https://arxiv.org/abs/2606.00533

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