diff --git a/readme.md b/readme.md
index 6548319..b50c0d9 100644
--- a/readme.md
+++ b/readme.md
@@ -384,22 +384,45 @@ Tree::link($node, $parent);
 The `Tree::link` call will take care of all the relations: unlinking the original parent and linking the subtree to the new one.
 
 
-## Iterators
+## Tree traversal and iterators
 
-Oliva provides iterators for tree traversal and a filter iterator.
+Oliva provides tree traversal iterators, generators and a filter iterator.
 
-The traversal iterators will iterate over **all** the tree's nodes, including the root, in a specific order.
+The traversal iterators and generators will iterate over **all** the tree's nodes in a specific order.
 
-**Depth-first search**
-- `Iterator\PreOrderTraversal` pre-order traversal
-- `Iterator\PostOrderTraversal` post-order traversal
+**Depth-first search, pre-order traversal**
+- `Traversal::preOrder` generator
+- `PreOrderTraversal` iterator 
 
-**Breadth-first search**
-- `Iterator\LevelOrderTraversal` level-order traversal
+**Depth-first search, post-order traversal**
+- `Traversal::postOrder` generator
+- `PostOrderTraversal` iterator
 
-If unsure what the above means, read more about [Tree traversal](https://en.wikipedia.org/wiki/Tree_traversal).
+**Breadth-first search, level-order traversal**
+- `Traversal::levelOrder` generator
+- `LevelOrderTraversal` iterator
 
-If the order of traversal, is not important, a `Node` instance can be iterated over:
+>
+> If unsure what the different traversals mean, read more about [Tree traversal](https://en.wikipedia.org/wiki/Tree_traversal).
+> 
+
+```php
+use Dakujem\Oliva\Iterator\Traversal;
+use Dakujem\Oliva\Iterator\PreOrderTraversal;
+use Dakujem\Oliva\Iterator\PostOrderTraversal;
+use Dakujem\Oliva\Iterator\LevelOrderTraversal;
+
+foreach(Traversal::levelOrder($root) as $node) { /* ... */ }
+foreach(new LevelOrderTraversal($root) as $node) { /* ... */ }
+```
+
+> 💡
+>
+> The key difference between the iterator classes and generator methods is in the keys.
+> If the keys in the iteration do not matter, use the `Traversal`'s generator methods for slightly better performance.
+> 
+
+If the order of traversal is not important, a `Node` instance can simply be iterated over:
 
 ```php
 use Dakujem\Oliva\Node;
@@ -407,11 +430,24 @@ use Dakujem\Oliva\Node;
 $root = new Node( ... );
 
 foreach ($root as $node) {
-    // do something useful with the nodes
+    // do something useful with the node
 }
 ```
 
-Finally, the filter iterator `Iterator\Filter` may be used for filtering either the input data or tree nodes.
+The above will iterate over the whole subtree, including the node itself and all its descendants.
+
+>
+> 💡
+>
+> Traversals may be used to decorate nodes or even alter the trees.  
+> Be sure to understand how each of the traversals work before altering the tree structure within a traversal,
+> otherwise you may experience unexpected.
+>
+
+
+### Filtering nodes
+
+Finally, the **filter iterator** `Iterator\Filter` may be used for filtering either the input data or tree nodes.
 
 ```php
 use Dakujem\Oliva\Iterator\Filter;
@@ -437,14 +473,6 @@ $node = Seed::firstOf(new Filter(
 );
 ```
 
->
-> 💡
->
-> Traversals may be used to decorate nodes or even alter the trees.  
-> Be sure to understand how each of the traversals work before altering the tree structure within a traversal,
-> otherwise you may experience unexpected.
->
-
 
 ### Searching for specific nodes
 
@@ -483,7 +511,7 @@ class TreeFinder
 
 ### Node keys
 
-Normally, the keys will increment during a traversal (using any traversal iterator).
+Normally, the keys will increment during a traversal (using any traversal iterator or generator).
 ```php
 use Dakujem\Oliva\Node;
 
@@ -494,7 +522,7 @@ foreach ($root as $key => $node) {
 }
 ```
 
-It is possible to alter the key sequence using a key callable.  
+When using any of the traversal _iterators_, it is possible to alter the key sequence using a key callable.  
 This example generates a delimited materialized path:
 ```php
 use Dakujem\Oliva\Iterator\PreOrderTraversal;
diff --git a/src/Iterator/Traversal.php b/src/Iterator/Traversal.php
new file mode 100644
index 0000000..429f1b0
--- /dev/null
+++ b/src/Iterator/Traversal.php
@@ -0,0 +1,82 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Dakujem\Oliva\Iterator;
+
+use Dakujem\Oliva\TreeNodeContract;
+use Generator;
+
+/**
+ * This class creates generators to iterate over all tree nodes in different order.
+ * Use these generators if you only need to iterate over the nodes without control over the keys.
+ *
+ * This implementation is more efficient than the iterator traversal implementations
+ * because it does not allow to modify the keys in any way.
+ * It is also less flexible for the same reason.
+ *
+ * @author Andrej Rypak <xrypak@gmail.com>
+ */
+final class Traversal
+{
+    /**
+     * Depth-first search pre-order traversal.
+     *
+     * Equivalent to the iterator:
+     * @see PreOrderTraversal
+     */
+    public static function preOrder(TreeNodeContract $node): Generator
+    {
+        // First, yield the current node,
+        // then do the same for all the children.
+        yield $node;
+        foreach ($node->children() as $child) {
+            yield from self::preOrder($child);
+        }
+    }
+
+    /**
+     * Depth-first search post-order traversal.
+     *
+     * Equivalent to the iterator:
+     * @see PostOrderTraversal
+     */
+    public static function postOrder(TreeNodeContract $node): Generator
+    {
+        // Yield the current node last,
+        // after recursively calling this for all it's children.
+        foreach ($node->children() as $child) {
+            yield from self::postOrder($child);
+        }
+        yield $node;
+    }
+
+    /**
+     * Breadth-first search (level-order) traversal.
+     *
+     * Equivalent to the iterator:
+     * @see LevelOrderTraversal
+     */
+    public static function levelOrder(TreeNodeContract $node): Generator
+    {
+        // In BFS traversal a queue has to be used instead of recursion
+        // (recursion uses a stack - the call stack).
+        $queue = [$node];
+
+        // The first node in the queue is taken and yielded,
+        // then all of its children are added to the queue.
+        // This continues until there are no more nodes in the queue.
+        while ($node = array_shift($queue)) {
+            yield $node;
+            foreach ($node->children() as $child) {
+                $queue[] = $child;
+            }
+        }
+    }
+
+    // No not instantiate this class.
+    // This is enforced to avoid confusion with the traversal iterators.
+    private function __construct()
+    {
+    }
+}
diff --git a/src/Node.php b/src/Node.php
index f6029e1..f7d1065 100644
--- a/src/Node.php
+++ b/src/Node.php
@@ -4,8 +4,9 @@
 
 namespace Dakujem\Oliva;
 
-use Dakujem\Oliva\Iterator\PreOrderTraversal;
+use Dakujem\Oliva\Iterator\Traversal;
 use Exception;
+use Generator;
 use IteratorAggregate;
 use JsonSerializable;
 
@@ -190,12 +191,13 @@ public function removeChildren(): self
     }
 
     /**
-     * Returns an iterator that iterates over this node and all its descendants in pre-order depth-first search order.
-     * @return PreOrderTraversal
+     * Returns an iterator that iterates over this node and all its descendants,
+     * in pre-order depth-first search order.
+     * @return Generator
      */
-    public function getIterator(): PreOrderTraversal
+    public function getIterator(): Generator
     {
-        return new PreOrderTraversal($this);
+        return Traversal::preOrder($this);
     }
 
     /**
diff --git a/tests/iterators.phpt b/tests/iterators.phpt
index 0cd1af9..8a7e9cc 100644
--- a/tests/iterators.phpt
+++ b/tests/iterators.phpt
@@ -40,7 +40,7 @@ require_once __DIR__ . '/setup.php';
         $str .= $node->data();
     }
     Assert::same('FBADCEGIH', $str);
-    Assert::same('FBADCEGIH', TreeTesterTool::append($iterator));
+    Assert::same('FBADCEGIH', TreeTesterTool::chain($iterator));
 
     $iterator = new PostOrderTraversal($root);
     $str = '';
@@ -48,23 +48,24 @@ require_once __DIR__ . '/setup.php';
         $str .= $node->data();
     }
     Assert::same('ACEDBHIGF', $str);
-    Assert::same('ACEDBHIGF', TreeTesterTool::append($iterator));
+    Assert::same('ACEDBHIGF', TreeTesterTool::chain($iterator));
 
     $iterator = new LevelOrderTraversal($root);
     $str = '';
-    foreach ($iterator as $i => $node) {
+    foreach ($iterator as $node) {
         $str .= $node->data();
     }
     Assert::same('FBGADICEH', $str);
-    Assert::same('FBGADICEH', TreeTesterTool::append($iterator));
+    Assert::same('FBGADICEH', TreeTesterTool::chain($iterator));
 
-    Assert::type(PreOrderTraversal::class, $root->getIterator());
+//    Assert::type(PreOrderTraversal::class, $root->getIterator());
     $str = '';
     foreach ($root as $node) {
         $str .= $node->data();
     }
     Assert::same('FBADCEGIH', $str);
-    Assert::same('FBADCEGIH', TreeTesterTool::append($root->getIterator()));
+    Assert::same('FBADCEGIH', TreeTesterTool::chain($root));
+    Assert::same('FBADCEGIH', TreeTesterTool::chain($root->getIterator()));
 })();
 
 (function () {
diff --git a/tests/setup.php b/tests/setup.php
index 5c2471b..fabbb02 100644
--- a/tests/setup.php
+++ b/tests/setup.php
@@ -22,13 +22,13 @@ public static function flatten(
         string $traversalClass = PreOrderTraversal::class,
         string $glue = '',
     ): string {
-        return self::append(
+        return self::chain(
             new $traversalClass($node),
             $glue,
         );
     }
 
-    public static function append(
+    public static function chain(
         iterable $traversal,
         string $glue = '',
         ?callable $extractor = null,
diff --git a/tests/tool.phpt b/tests/tool.phpt
index 1114d94..590563c 100644
--- a/tests/tool.phpt
+++ b/tests/tool.phpt
@@ -24,14 +24,14 @@ require_once __DIR__ . '/setup.php';
 })();
 
 (function () {
-    Assert::same('', TreeTesterTool::append([]));
-    Assert::same('ABC', TreeTesterTool::append([
+    Assert::same('', TreeTesterTool::chain([]));
+    Assert::same('ABC', TreeTesterTool::chain([
         new Node('A'),
         new Node('B'),
         new Node('C'),
     ]));
-    Assert::same('', TreeTesterTool::append([], '.'));
-    Assert::same('.A.B.C', TreeTesterTool::append([
+    Assert::same('', TreeTesterTool::chain([], '.'));
+    Assert::same('.A.B.C', TreeTesterTool::chain([
         new Node('A'),
         new Node('B'),
         new Node('C'),
diff --git a/tests/traversal.phpt b/tests/traversal.phpt
new file mode 100644
index 0000000..a2e0ba5
--- /dev/null
+++ b/tests/traversal.phpt
@@ -0,0 +1,18 @@
+<?php
+
+declare(strict_types=1);
+
+namespace Dakujem\Test;
+
+use Dakujem\Oliva\Iterator\Traversal;
+use Tester\Assert;
+
+require_once __DIR__ . '/setup.php';
+
+(function () {
+    $root = Preset::wikiTree();
+    Assert::same('FBADCEGIH', TreeTesterTool::chain(Traversal::preOrder($root)));
+    Assert::same('ACEDBHIGF', TreeTesterTool::chain(Traversal::postOrder($root)));
+    Assert::same('FBGADICEH', TreeTesterTool::chain(Traversal::levelOrder($root)));
+})();
+