对于一个$k$一致超图$H=(V, E)$, 设$B (H)$是它的关联矩阵且$\mathcal{Q}(H)=B (H) B (H)^{\top}$是它的无符号拉普拉斯矩阵。$H$的无符号拉普拉斯谱半径是$\mathcal{Q}(H)$的所有特征值的模的最大值。设$\mathcal{H}^n_{k, r}$是具有$n$个点和$r$个悬挂点的连通$k$一致超图的图类。在$\mathcal{H}^n_{k, r}$中, 对于$n-r\geq k$和某些$n-r\in[k-1]$的情形, 本文刻画了具有最大无符号拉普拉斯谱半径的极值超图。

For a $k$-uniform hypergraph $H=(V, E)$, let $B(H)$ be its incidence matrix and $\mathcal{Q}(H)=B(H)B(H)^{\top}$ be its signless Laplacian matrix. The signless Laplacian spectral radius of $H$ is the maximum modulus of all eigenvalues of $\mathcal{Q}(H)$. Let $\mathcal{H}^n_{k, r}$ be the class of connected $k$-uniform hypergraphs with $n$ vertices and $r$ pendent vertices. In this paper, the extremal hypergraphs having maximum spectral radii in $\mathcal{H}^n_{k, r}$ are characterized for $n-r\geq k$ and some cases $n-r\in [k-1]$, respectively.