Jin Cai

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3 papers · 1 filter

math.CO2026

Signless Laplacian index conditions for trebly chorded cycles in graphs with given order

Jin Cai, Bo Zhou

It is proved that for a graph of order $n$ , where $n \geq 6$ , if the signless Laplacian index is larger than or equal to certain value depending on $n$ , then the graph contains a tre…

math.CO2025

Eigenvalue conditions implying edge-disjoint spanning trees and a forest with constraints

Jin Cai, Bo Zhou

Let $G$ be a nontrivial graph with minimum degree $I^´$ and $k$ an integer with $k \geq 2$ . In the literature, there are eigenvalue conditions that imply $G$ contains $k$ edge-disjoin…

math.CO2024

Spectral conditions for the existence of chorded cycles in graphs with fixed size

Jin Cai, Leyou Xu, Bo Zhou

A chorded cycle is a cycle with at least one chord. Gould asked in [Graphs Comb. 38 (2022) 189] the question: What spectral conditions imply a graph contains a chorded cycle? For a…