Zenan Du

collaborators

3 papers

math.CO2026

Signed graphs with exactly two main eigenvalues: The unicyclic case

Zenan Du, Fenjin Liu, Hechao Liu +2

An eigenvalue $I^»$ of a signed graph $S$ of order $n$ is called a main eigenvalue if its eigenspace is not orthogonal to the all-ones vector $j$ . Characterizing signed graphs with…

math.CO2025

Signless Laplacian spectral conditions for even factors in graphs

Lu Li, Hechao Liu, Hongbo Hua +1

A spanning subgraph $F$ of a graph $G$ is defined as an even factor of $G$ , if the degree $d_{F} (v) = 2 k, k \in N^{+}$ for every vertex $v \in V (G)$ . This note establishes a suffic…

math.CO2025

Spectral conditions for spanning $k$ -trees or $k$ -ended-trees of $t$ -connected graphs

Jifu Lin, Zenan Du, Xinghui Zhao +1

Let $G$ be a connected graph of order $n$ . A spanning $k$ -tree of $G$ is a spanning tree with the maximum degree at most $k$ , and a spanning $k$ -ended-tree of $G$ is a spanning tre…

Signed graphs with exactly two main eigenvalues: The unicyclic case

Signless Laplacian spectral conditions for even factors in graphs

Spectral conditions for spanning k-trees or k-ended-trees of t-connected graphs

Spectral conditions for spanning $k$ -trees or $k$ -ended-trees of $t$ -connected graphs