diff --git a/core/lib/Drupal/Core/Asset/Collection/AssetLibrary.php b/core/lib/Drupal/Core/Asset/Collection/AssetLibrary.php
index 6b67baf..ce08b07 100644
--- a/core/lib/Drupal/Core/Asset/Collection/AssetLibrary.php
+++ b/core/lib/Drupal/Core/Asset/Collection/AssetLibrary.php
@@ -19,7 +19,7 @@
  * The primary role of an asset library is to be declared as a dependency by
  * other assets (including assets declared by other libraries).
  */
-class AssetLibrary extends AssetCollection implements DependencyInterface, RelativePositionInterface {
+class AssetLibrary extends AssetCollection implements DependencyInterface {
 
   /**
    * The asset library's title.
@@ -176,78 +176,6 @@ public function clearDependencies() {
   }
 
   /**
-   * {@inheritdoc}
-   */
-  public function after($asset) {
-    $this->attemptWrite(__METHOD__);
-    if (!($asset instanceof AssetInterface || is_string($asset))) {
-      throw new \InvalidArgumentException('Ordering information must be declared using either an asset string id or the full AssetInterface object.');
-    }
-
-    $this->predecessors[] = $asset;
-    return $this;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function hasPredecessors() {
-    return !empty($this->predecessors);
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function getPredecessors() {
-    return $this->predecessors;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function clearPredecessors() {
-    $this->attemptWrite(__METHOD__);
-    $this->predecessors = array();
-    return $this;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function before($asset) {
-    $this->attemptWrite(__METHOD__);
-    if (!($asset instanceof AssetInterface || is_string($asset))) {
-      throw new \InvalidArgumentException('Ordering information must be declared using either an asset string id or the full AssetInterface object.');
-    }
-
-    $this->successors[] = $asset;
-    return $this;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function hasSuccessors() {
-    return !empty($this->successors);
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function getSuccessors() {
-    return $this->successors;
-  }
-
-  /**
-   * {@inheritdoc}
-   */
-  public function clearSuccessors() {
-    $this->attemptWrite(__METHOD__);
-    $this->successors = array();
-    return $this;
-  }
-
-  /**
    * Checks if the asset library is frozen, throws an exception if it is.
    */
   protected function attemptWrite($method) {
diff --git a/core/lib/Drupal/Core/Asset/GroupSort/AssetGraph.php b/core/lib/Drupal/Core/Asset/GroupSort/AssetGraph.php
index 93d027c..20a6954 100644
--- a/core/lib/Drupal/Core/Asset/GroupSort/AssetGraph.php
+++ b/core/lib/Drupal/Core/Asset/GroupSort/AssetGraph.php
@@ -16,28 +16,32 @@
  * An extension of the DirectedAdjacencyGraph concept designed specifically for
  * Drupal's asset management use case.
  *
- * Drupal allows for two types of positioning declarations:
+ * Drupal allows for two types of ordering declarations:
  *
  *   - Dependencies, which guarantee that dependent asset must be present and
- *     that it must precede the asset declaring it as a dependency.
- *   - Ordering, which can guarantee that asset A will be either preceded or
+ *     that it must precede the asset declaring it as a dependency. Expressed by
+ *     methods on \Drupal\Core\Asset\DependencyInterface.
+ *   - Positioning, which can guarantee that asset A will be either preceded or
  *     succeeded by asset B, but does NOT guarantee that B will be present.
+ *     Expressed by methods on \Drupal\Core\Asset\RelativePositionInterface.
  *
- * The impact of a dependency can be calculated myopically (without knowledge of
- * the full set), as a dependency inherently guarantees the presence of the
- * other vertex in the set.
+ * The first, dependencies, are NOT dealt with by AssetGraph; dependency
+ * resolution requires collaboration with other fixed services. For that,
+ * @see \Drupal\Core\Asset\Collection\AssetCollection::resolveLibraries()
  *
- * For ordering, however, the full set must be inspected to determine whether or
- * not the other asset is already present. If it is, a directed edge can be
- * declared; if it is not, then ….
+ * AssetGraph deals only with positioning data. As asset vertices are added to
+ * the graph via addVertex(), AssetGraph checks their predecessor and successor
+ * lists. If an asset in either of those lists is already present in the graph,
+ * then AssetGraph will automatically create a directed edge between the two. If
+ * a vertex from those lists is not already present, then a 'watch' is
+ * created for it, such that if that vertex is added at a later time then the
+ * appropriate directed edge will be created automatically.
  *
- * This class eases the process of determining what to do with ordering
- * declarations by implementing a more sophisticated addVertex() mechanism,
- * which incrementally sets up (and triggers) watches for any ordering
- * declarations that have not yet been realized.
+ * This makes it much easier for calling code to construct the correct graph -
+ * it needs merely add all the asset vertices one by one, and the correct graph
+ * is guaranteed to be created.
  *
  * TODO add stuff that tracks data about unresolved successors/predecessors
- * TODO finish the ordering paragraph
  */
 class AssetGraph extends DirectedAdjacencyList {
 
diff --git a/core/tests/Drupal/Tests/Core/Asset/AssetLibraryRepositoryTest.php b/core/tests/Drupal/Tests/Core/Asset/AssetLibraryRepositoryTest.php
index c8c2960..657e89f 100644
--- a/core/tests/Drupal/Tests/Core/Asset/AssetLibraryRepositoryTest.php
+++ b/core/tests/Drupal/Tests/Core/Asset/AssetLibraryRepositoryTest.php
@@ -197,7 +197,7 @@ public function testResolveDependencies() {
       ->will($this->returnValue(TRUE));
     $main_asset->expects($this->exactly(2))
       ->method('getDependencyInfo')
-      ->will($this->returnValue(array('foo/bar')));
+      ->will($this->returnValue(array('foo/bar', 'foo/baz')));
     $main_asset->expects($this->once())
       ->method('after')->with($compatible_dep);
 
@@ -208,12 +208,10 @@ public function testResolveDependencies() {
     $library1->expects($this->once())
       ->method('getDependencyInfo')
       ->will($this->returnValue(array('foo/baz', 'qux/bing')));
-    $library1->expects($this->once())
-      ->method('after')->with($lib_dep);
 
     $it = new \ArrayIterator(array($compatible_dep, $incompatible_dep));
 
-    $library1->expects($this->once())
+    $library1->expects($this->any())
       ->method('getIterator')
       ->will($this->returnValue($it));
 
@@ -221,29 +219,30 @@ public function testResolveDependencies() {
     $library2->expects($this->once())
       ->method('getIterator')
       ->will($this->returnValue(new \ArrayIterator(array())));
+    // Never to ensure resolution is non-recursive
     $library2->expects($this->never())
       ->method('hasDependencies');
 
     $library3 = $this->getMock('Drupal\Core\Asset\Collection\AssetLibrary');
-    $library3->expects($this->once())
+    // Never because !$library1 instanceof RelativePositionInterface
+    $library3->expects($this->never())
       ->method('getIterator')
       ->will($this->returnValue(new \ArrayIterator(array($lib_dep))));
+    // Never to ensure resolution is non-recursive
     $library3->expects($this->never())
       ->method('hasDependencies')
       ->will($this->returnValue(array('qux/quark')));
 
-    $library4 = $this->getMock('Drupal\Core\Asset\Collection\AssetLibrary');
 
     $repository->set('foo/bar', $library1);
     $repository->set('foo/baz', $library2);
     $repository->set('qux/bing', $library3);
-    $repository->set('qux/quark', $library4);
 
     // Ensure no auto-attach when the second param turns it off.
-    $this->assertEquals(array($library1), $repository->resolveDependencies($main_asset, FALSE));
+    $this->assertEquals(array($library1, $library2), $repository->resolveDependencies($main_asset, FALSE));
 
     // Now, let it auto-attach.
-    $this->assertEquals(array($library1), $repository->resolveDependencies($main_asset));
+    $this->assertEquals(array($library1, $library2), $repository->resolveDependencies($main_asset));
     // The correctness of $main_asset's predecessor data is guaranteed by the
     // method counts on the mock; no direct validation is necessary.
 
diff --git a/core/tests/Drupal/Tests/Core/Asset/Collection/AssetLibraryTest.php b/core/tests/Drupal/Tests/Core/Asset/Collection/AssetLibraryTest.php
index bf94ea3..6a36f5e 100644
--- a/core/tests/Drupal/Tests/Core/Asset/Collection/AssetLibraryTest.php
+++ b/core/tests/Drupal/Tests/Core/Asset/Collection/AssetLibraryTest.php
@@ -107,123 +107,6 @@ public function testClearDependencies() {
   }
 
   /**
-   * @covers ::after
-   */
-  public function testAfter() {
-    $library = $this->getLibraryFixture();
-    $dep = $this->createStubFileAsset();
-
-    $this->assertSame($library, $library->after('foo'));
-    $this->assertSame($library, $library->after($dep));
-
-    $this->assertAttributeContains($dep, 'predecessors', $library);
-
-    $invalid = array(0, 1.1, fopen(__FILE__, 'r'), TRUE, array(), new \stdClass);
-
-    try {
-      foreach ($invalid as $val) {
-        $library->after($val);
-        $this->fail('Was able to create an ordering relationship with an inappropriate value.');
-      }
-    } catch (\InvalidArgumentException $e) {}
-  }
-
-  /**
-   * @depends testAfter
-   * @covers ::hasPredecessors
-   */
-  public function testHasPredecessors() {
-    $library = $this->getLibraryFixture();
-    $this->assertFalse($library->hasPredecessors());
-
-    $library->after('foo');
-    $this->assertTrue($library->hasPredecessors());
-  }
-
-  /**
-   * @depends testAfter
-   * @covers ::getPredecessors
-   */
-  public function testGetPredecessors() {
-    $library = $this->getLibraryFixture();
-    $this->assertEmpty($library->getPredecessors());
-
-    $library->after('foo');
-    $this->assertEquals(array('foo'), $library->getPredecessors());
-  }
-
-  /**
-   * @depends testAfter
-   * @depends testHasPredecessors
-   * @covers ::clearPredecessors
-   */
-  public function testClearPredecessors() {
-    $library = $this->getLibraryFixture();
-    $library->after('foo');
-
-    $this->assertSame($library, $library->clearPredecessors());
-    $this->assertFalse($library->hasPredecessors());
-  }
-
-  /**
-   * @covers ::before
-   */
-  public function testBefore() {
-    $library = $this->getLibraryFixture();
-    $dep = $this->createStubFileAsset();
-
-    $this->assertSame($library, $library->before('foo'));
-    $this->assertSame($library, $library->before($dep));
-
-    $this->assertAttributeContains($dep, 'successors', $library);
-
-    $invalid = array(0, 1.1, fopen(__FILE__, 'r'), TRUE, array(), new \stdClass);
-
-    try {
-      foreach ($invalid as $val) {
-        $library->after($val);
-        $this->fail('Was able to create an ordering relationship with an inappropriate value.');
-      }
-    } catch (\InvalidArgumentException $e) {}
-  }
-
-  /**
-   * @depends testBefore
-   * @covers ::hasSuccessors
-   */
-  public function testHasSuccessors() {
-    $library = $this->getLibraryFixture();
-    $this->assertFalse($library->hasSuccessors());
-
-    $library->before('foo');
-    $this->assertTrue($library->hasSuccessors());
-  }
-
-  /**
-   * @depends testBefore
-   * @covers ::getSuccessors
-   */
-  public function testGetSuccessors() {
-    $library = $this->getLibraryFixture();
-    $this->assertEmpty($library->getSuccessors());
-
-    $library->before('foo');
-    $this->assertEquals(array('foo'), $library->getSuccessors());
-  }
-
-   /**
-   * @depends testBefore
-   * @covers ::clearSuccessors
-   */
-  public function testClearSuccessors() {
-    $library = $this->getLibraryFixture();
-    $library->before('foo');
-
-    $this->assertSame($library, $library->clearSuccessors());
-    $this->assertFalse($library->hasSuccessors());
-  }
-
-  /**
    * Tests that all methods that should be disabled by freezing the collection
    * correctly trigger an exception.
    *
@@ -239,10 +122,6 @@ public function testExceptionOnWriteWhenFrozen() {
       'setWebsite' => array('foo'),
       'addDependency' => array('foo/bar'),
       'clearDependencies' => array(function() {}),
-      'after' => array('foo'),
-      'clearPredecessors' => array(),
-      'before' => array('foo'),
-      'clearSuccessors' => array(),
     );
 
     // No exception before freeze