Tian Zhou

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20222026

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3 papers · 1 filter

math.CO2026

On Hamilton cycles in connected vertex-transitive graphs of order $2 pq$

Zhou Tianlei

The existence of Hamilton cycles in connected vertex-transitive graphs is a core open problem in algebraic graph theory, originating from Lovász's 1969 conjecture. All connected ve…

math.CO2024

Hamilton cycles in vertex-transitive graphs of order $6 p$

Shaofei Du, Tianlei Zhou

It was shown by Kutnar and \v Sparl in 2009 that every connected vertex-transitive graph of order $6 p$ , where $p$ is a prime, contains a Hamilton path. In this paper, it will be sh…

math.CO2022

The characterizing properties of (signless) Laplacian permanental polynomials of bicyclic graphs

Tingzeng Wu, Tian Zhou

Let $G$ be a graph with $n$ vertices, and let $L (G)$ and $Q (G)$ be the Laplacian matrix and signless Laplacian matrix of $G$ , respectively. The polynomial $π(L(G);x)={\rm per}(xI-L…

On Hamilton cycles in connected vertex-transitive graphs of order 2pq

Hamilton cycles in vertex-transitive graphs of order 6p

The characterizing properties of (signless) Laplacian permanental polynomials of bicyclic graphs

On Hamilton cycles in connected vertex-transitive graphs of order $2 pq$

Hamilton cycles in vertex-transitive graphs of order $6 p$