2 problems

Let $G$ be a graph, let $k$ be even, and let $G^k$ denote the $k$-uniform hypergraph associated with $G$. Write $\mathcal{Q}_{G^k}$ for its signless Laplacian tensor and…

Let $H$ be a connected $k$-uniform hypergraph. A vertex labeling is a map $f:V(H)\rightarrow [k]$, where $[k]=\{1,\ldots,k\}$. The hypergraph $H$ is odd-bipartite when $k$ is even…