Zhidan Yan

activity

20112026

most citedProof of a conjecture on the determinant of walk matrix of rooted product with a path

6 citations · 16 across the 12 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.CO2022★ 6 cited

Proof of a conjecture on the determinant of walk matrix of rooted product with a path

Wei Wang, Zhidan Yan, Lihuan Mao

The walk matrix of an $n$ -vertex graph $G$ with adjacency matrix $A$ , denoted by $W (G)$ , is $[e, A e, \dots, A^{n - 1} e]$ , where $e$ is the all-ones vector. Let $G \circ P_{m}$ be the root…

math.CO2022★ 1 cited

Disproof of a conjecture on the main spectrum of generalized Bethe trees

Zhidan Yan, Wei Wang

An eigenvalue of the adjacency matrix of a graph is said to be main if the all-ones vector is not orthogonal to its associated eigenspace. A generalized Bethe tree with $k$ levels…