Regular Uniform Hypergraphs, $s$-Cycles, $s$-Paths and Their largest Laplacian H-Eigenvalues

Liqun Qi, Jiayu Shao, Qun Wang

In this paper, we show that the largest signless Laplacian H-eigenvalue of a connected $k$-uniform hypergraph $G$, where $k\ge 3$, reaches its upper bound $2\Delta (G)$, where $\Delta (G)$ is…