Author

Chenhui Lv

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Preprint Sep 2026

Automorphism groups of endomorphism monoids of $0$-unit $3$-valent circulant digraphs

Let $G=\Cay(\mathbb{Z}_n,S)$ be a $3$-valent circulant digraph with connection set $S=\{0,s,t\}$, where $s,t\in\mathbb{Z}_n^*$ and $t\neq\pm s$. Determining the automorphism group of its endomorphism monoid reduces to determining the subgroup $U_S(\mathbb{Z}_n)\leq\mathbb{Z}_n^*$ that normalizes $\End(G)$. In this pape...

Chen-Hui Lv · 0 citations

Preprint Jul 2026

The Aldous property for normal Cayley graphs on symmetric groups

Aldous'spectral gap conjecture states that the random walk and the interchange process on any connected graph have the same spectral gap, or, equivalently, the second largest eigenvalue of any connected Cayley graph on the symmetric group $S_n$ with respect to a set of transpositions is achieved by the standard represe...

Chen-Hui Lv, Sanming Zhou · 0 citations