add basic dfs

src/graph.rs

@@ -42,20 +42,19 @@ where
 
     /// find a path between two nodes using breadth-first-search.
     /// this finds a path with the least possible edges.
-    pub fn find_path_bfs(&self, from: V, to: V) -> Option<Vec<V>> {
+    pub fn find_path_bfs(&self, from: &V, to: &V) -> Option<Vec<V>> {
         let mut q = VecDeque::with_capacity(self.vertices.len());
         let mut visited = HashSet::with_capacity(self.vertices.len());
 
-        q.push_back(vec![&from]);
-        visited.insert(&from);
+        q.push_back(vec![from]);
+        visited.insert(from);
 
         while !q.is_empty() {
             let mut path = q.pop_front().unwrap();
-            path.reserve(1);
             let current = path.last().unwrap();
 
             for neighbor in self.neighbors(current) {
-                if *neighbor == to {
+                if neighbor == to {
                     return path
                         .into_iter()
                         .cloned()
@@ -72,4 +71,35 @@ where
 
         None
     }
+
+    /// find a path between two nodes using depth-first-search.
+    ///
+    /// this is short-circuiting and therefore does not guarantee
+    /// the found path to contain the least possible edges.
+    pub fn find_path_dfs(&self, from: &V, to: &V) -> Option<Vec<V>> {
+        let mut q = Vec::with_capacity(self.vertices.len());
+
+        q.push(vec![from]);
+
+        while !q.is_empty() {
+            let mut path = q.pop().unwrap();
+            let &current = path.last().unwrap();
+
+            if current == to {
+                return path.into_iter().cloned().collect::<Vec<_>>().into();
+            }
+
+            for neighbor in self.neighbors(current).iter().rev() {
+                if path.contains(&neighbor) {
+                    continue;
+                }
+
+                path.push(neighbor);
+                q.push(path.clone());
+                path.pop();
+            }
+        }
+
+        None
+    }
 }

src/main.rs

@@ -44,13 +44,16 @@ fn main() {
                 _ => 2,
             };
 
-            let path = g.find_path_bfs(a, b);
-            assert!(path.is_some(), "Path from {a} to {b} should be found in G");
+            let path = g.find_path_dfs(&a, &b);
+            assert!(path.is_some(), "Path from {a} to {b} should be found in G with dfs");
+
+            let path = g.find_path_bfs(&a, &b);
+            assert!(path.is_some(), "Path from {a} to {b} should be found in G with bfs");
 
             let path = path.unwrap();
             assert_eq!(
                 path.len(), shortest_path_length,
-                "Shortest path from {a} to {b} in G should have length {shortest_path_length}\nFound path: {path:?}"
+                "Shortest path (bfs) from {a} to {b} in G should have length {shortest_path_length}\nFound path: {path:?}"
             );
         }
     }