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arXiv · 2601.20216

An asymptotically tight upper bound for the domination number of the $2$-token graph of path graphs

E. Acosta Troncoso·J. Leaños·L. M. Rivera
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Abstract

In this note, we show that the domination number of the $2$-token graph of the path graph of order $n\geq 2$ is equal to $\frac{n^2}{10}+Θ(n)$.

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E. Acosta Troncoso, J. Leaños, L. M. Rivera. 2026-01-28. An asymptotically tight upper bound for the domination number of the $2$-token graph of path graphs. https://arxiv.org/abs/2601.20216

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