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arXiv · 2610.39298

On two problems concerning the geodesic transversal number of graphs

Shi Chen·Xuanlong Ma·Tingzeng Wu
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Abstract

We establish sharp upper and lower bounds on the geodesic transversal number of hypercubes. We also obtain a lower bound on the geodesic transversal number of Hamming graphs. As applications, we provide negative answers to two open problems concerning the geodesic transversal number.

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Shi Chen, Xuanlong Ma, Tingzeng Wu. 2026-10-29. On two problems concerning the geodesic transversal number of graphs. https://arxiv.org/abs/2610.39298

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