Yuke Zhang

activity

20212024

collaborators

4 papers

math.CO2024

Rainbow Hamiltonicity and the spectral radius

Yuke Zhang, Edwin R. van Dam

Let $G = {G_{1}, \dots, G_{n}}$ be a family of graphs of order $n$ with the same vertex set. A rainbow Hamiltonian cycle in $G$ is a cycle that visits each vertex p…

math.CO2023

Matching extension and distance spectral radius

Yuke Zhang, Edwin R. van Dam

A graph is called $k$ -extendable if each $k$ -matching can be extended to a perfect matching. We give spectral conditions for the $k$ -extendability of graphs and bipartite graphs us…

math.CO2021

Graphs with three distinct distance eigenvalues

Yuke Zhang, Huiqiu Lin

In this paper, some special distance spectral properties of graphs are considered. Concretely, we recursively construct an infinite family of trees with distance eigenvalue $- 1$ , a…

math.CO2021

Perfect matching and distance spectral radius in graphs and bipartite graphs

Yuke Zhang, Huiqiu Lin

A perfect matching in a graph $G$ is a set of nonadjacent edges covering every vertex of $G$ . Motivated by recent progress on the relations between the eigenvalues and the matching…