Q. Tang, Y. Liu, and W. Wang's positive $p$-energy conjecture

Let $n$ and $p$ be positive integers with $p\geq 2$, let $G$ be a connected graph on $n$ vertices, and let $P_n$ denote the path on $n$ vertices. Tang–Liu–Wang's positive $p$-energy conjecture.

$$\mathcal{E}_p^+(G)\geq \mathcal{E}_p^+(P_n).$$

The conjecture is presented as a natural generalization of the square-energy conjecture; the source does not state a resolution.