Premalatha et al.'s local antimagic conjecture for connected graphs

Let $G=(V,E)$ be a finite connected graph with no isolated vertices, and let $f:E\to\{1,2,\ldots,|E|\}$ be a bijection. For each vertex $u\in V$, define its weight by

$$w(u)=\sum_{e\in E(u)}f(e),$$

where $E(u)$ is the set of edges incident with $u$. The labeling $f$ is local antimagic when $w(u)\neq w(v)$ for every edge $uv\in E$. Premalatha et al.'s local antimagic conjecture. Every connected graph other than $K_2$ is local antimagic. The source notes that antimagic graphs are local antimagic, but gives no resolution status for this conjecture.