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arXiv · 2607.09929

A Note on Diameter Certification in Trees

Josef Erik Sedláček
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Abstract

In the local certification model, certifying the diameter of general graphs requires large certificates, but trees admit more efficient solutions. In this note, we provide a $1$-local certification scheme that certifies whether the diameter of a given tree is at most $d$ using certificates of at most $3\lceil\log_2(d+1)\rceil$ bits.

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Josef Erik Sedláček. 2026-07-10. A Note on Diameter Certification in Trees. https://arxiv.org/abs/2607.09929

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