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arXiv · 2608.22094

Almost Every Graph Is Reconstructible from Its Token Graphs

Yuanming Luo
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Abstract

Let $F_k(G)$ denote the $k$-token graph of a finite graph $G$. The token graph reconstruction conjecture asks whether, for any $1\le k<|V(G)|$, $F_k(G)\cong F_k(H)$ implies $G\cong H$. This paper proves that the conjecture holds for almost every graph.

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Yuanming Luo. 2026-08-30. Almost Every Graph Is Reconstructible from Its Token Graphs. https://arxiv.org/abs/2608.22094

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