Rustのライフタイムが（やっぱり）分からない

struct Edge<'a> {
    dest: &'a Node<'a>,
    cost: usize,
}

struct Node<'a> {
    edges: Vec<&'a Edge<'a>>,
    solved: bool,
    label: &'a str,
}

impl Node<'_> {
    fn new<'a>(label: &'a str) -> Node<'a> {
        Node {
            edges: Vec::new(),
            solved: false,
            label,
        }
    }

    fn add_edge_to<'a>(&self, dest: &'a Node, cost: usize) {
        let edge = &Edge {dest, cost};
        self.edges.push(&edge);
    }
}

struct Graph<'a> {
    nodes: Vec<&'a Node<'a>>,
}

pub fn run() -> Result<(), ()> {
    Ok(())
}

% cargo clippy
    Checking rust-algorithm v0.1.0 (/home/kitaitimakoto/src/gitlab.com/KitaitiMakoto/rust-algorithm)
error[E0495]: cannot infer an appropriate lifetime for lifetime parameter `'a` due to conflicting requirements
  --> src/dijkstra.rs:22:21
   |
22 |         let edge = &Edge {dest, cost};
   |                     ^^^^
   |
note: first, the lifetime cannot outlive the lifetime 'a as defined on the method body at 21:20...
  --> src/dijkstra.rs:21:20
   |
21 |     fn add_edge_to<'a>(&self, dest: &'a Node, cost: usize) {
   |                    ^^
note: ...so that reference does not outlive borrowed content
  --> src/dijkstra.rs:22:27
   |
22 |         let edge = &Edge {dest, cost};
   |                           ^^^^
note: but, the lifetime must be valid for the lifetime '_ as defined on the impl at 12:11...
  --> src/dijkstra.rs:12:11
   |
12 | impl Node<'_> {
   |           ^^
note: ...so that reference does not outlive borrowed content
  --> src/dijkstra.rs:23:25
   |
23 |         self.edges.push(&edge);
   |                         ^^^^^

error: aborting due to previous error

error: could not compile `rust-algorithm`.

To learn more, run the command again with --verbose.