core/lib/Drupal/Core/Entity/Entity.php                 | 15 ++++++++++++++-
 .../modules/node/src/Controller/NodeViewController.php | 14 +-------------
 .../rest/src/Plugin/rest/resource/EntityResource.php   | 18 ++++--------------
 core/modules/taxonomy/taxonomy.module                  | 15 +--------------
 4 files changed, 20 insertions(+), 42 deletions(-)

diff --git a/core/lib/Drupal/Core/Entity/Entity.php b/core/lib/Drupal/Core/Entity/Entity.php
index 2c6dbc1..1f2638f 100644
--- a/core/lib/Drupal/Core/Entity/Entity.php
+++ b/core/lib/Drupal/Core/Entity/Entity.php
@@ -13,6 +13,7 @@
 use Drupal\Core\Link;
 use Drupal\Core\Session\AccountInterface;
 use Drupal\Core\Url;
+use Symfony\Component\Routing\Exception\RouteNotFoundException;
 
 /**
  * Defines a base entity class.
@@ -323,7 +324,19 @@ protected function urlRouteParameters($rel) {
    * {@inheritdoc}
    */
   public function uriRelationships() {
-    return array_keys($this->linkTemplates());
+    return array_filter(array_keys($this->linkTemplates()), function ($link_relation_type) {
+      // It's not guaranteed that every link relation type also has a
+      // corresponding route. For some, additional modules or configuration may
+      // be necessary. The interface demands that we only return supported URI
+      // relationships.
+      try {
+        $this->toUrl($link_relation_type)->toString(TRUE)->getGeneratedUrl();
+      }
+      catch (RouteNotFoundException $e) {
+        return FALSE;
+      }
+      return TRUE;
+    });
   }
 
   /**
diff --git a/core/modules/node/src/Controller/NodeViewController.php b/core/modules/node/src/Controller/NodeViewController.php
index ba73ba6..fce50e1 100644
--- a/core/modules/node/src/Controller/NodeViewController.php
+++ b/core/modules/node/src/Controller/NodeViewController.php
@@ -8,7 +8,6 @@
 use Drupal\Core\Render\RendererInterface;
 use Drupal\Core\Session\AccountInterface;
 use Symfony\Component\DependencyInjection\ContainerInterface;
-use Symfony\Component\Routing\Exception\RouteNotFoundException;
 
 /**
  * Defines a controller to render a single node.
@@ -57,17 +56,6 @@ public function view(EntityInterface $node, $view_mode = 'full', $langcode = NUL
 
     foreach ($node->uriRelationships() as $rel) {
       $url = $node->toUrl($rel);
-
-      // It's not guaranteed that every link relation type also has a
-      // corresponding route. For some, additional modules or configuration may
-      // be necessary.
-      try {
-        $generated_url = $url->toString();
-      }
-      catch (RouteNotFoundException $e) {
-        continue;
-      }
-
       // Add link relationships if the user is authenticated or if the anonymous
       // user has access. Access checking must be done for anonymous users to
       // avoid traffic to inaccessible pages from web crawlers. For
@@ -83,7 +71,7 @@ public function view(EntityInterface $node, $view_mode = 'full', $langcode = NUL
         $build['#attached']['html_head_link'][] = array(
           array(
             'rel' => $rel,
-            'href' => $generated_url,
+            'href' => $url->toString(),
           ),
           TRUE,
         );
diff --git a/core/modules/rest/src/Plugin/rest/resource/EntityResource.php b/core/modules/rest/src/Plugin/rest/resource/EntityResource.php
index 8ac38e6..db7fdf8 100644
--- a/core/modules/rest/src/Plugin/rest/resource/EntityResource.php
+++ b/core/modules/rest/src/Plugin/rest/resource/EntityResource.php
@@ -20,7 +20,6 @@
 use Symfony\Component\HttpKernel\Exception\AccessDeniedHttpException;
 use Symfony\Component\HttpKernel\Exception\BadRequestHttpException;
 use Symfony\Component\HttpKernel\Exception\HttpException;
-use Symfony\Component\Routing\Exception\RouteNotFoundException;
 
 /**
  * Represents entities as resources.
@@ -391,20 +390,11 @@ public function calculateDependencies() {
    * @see https://tools.ietf.org/html/rfc5988#section-5
    */
   protected function addLinkHeaders(EntityInterface $entity, Response $response) {
-    foreach ($entity->getEntityType()->getLinkTemplates() as $relation_name => $link_template) {
+    foreach ($entity->uriRelationships() as $relation_name) {
       if ($definition = $this->linkRelationTypeManager->getDefinition($relation_name, FALSE)) {
-        // It's not guaranteed that every link relation type also has a
-        // corresponding route. For some, additional modules or configuration
-        // may be necessary.
-        try {
-          $generator_url = $entity->toUrl($relation_name)
-            ->setAbsolute(TRUE)
-            ->toString(TRUE);
-        }
-        catch (RouteNotFoundException $e) {
-          continue;
-        }
-
+        $generator_url = $entity->toUrl($relation_name)
+          ->setAbsolute(TRUE)
+          ->toString(TRUE);
         if ($response instanceof CacheableResponseInterface) {
           $response->addCacheableDependency($generator_url);
         }
diff --git a/core/modules/taxonomy/taxonomy.module b/core/modules/taxonomy/taxonomy.module
index 1511ac8..8088432 100644
--- a/core/modules/taxonomy/taxonomy.module
+++ b/core/modules/taxonomy/taxonomy.module
@@ -16,7 +16,6 @@
 use Drupal\taxonomy\Entity\Vocabulary;
 use Drupal\taxonomy\TermInterface;
 use Drupal\taxonomy\VocabularyInterface;
-use Symfony\Component\Routing\Exception\RouteNotFoundException;
 
 /**
  * Denotes that no term in the vocabulary has a parent.
@@ -103,23 +102,11 @@ function taxonomy_page_attachments_alter(array &$page) {
   $route_match = \Drupal::routeMatch();
   if ($route_match->getRouteName() == 'entity.taxonomy_term.canonical' && ($term = $route_match->getParameter('taxonomy_term')) && $term instanceof TermInterface) {
     foreach ($term->uriRelationships() as $rel) {
-      $url = $term->toUrl($rel);
-
-      // It's not guaranteed that every link relation type also has a
-      // corresponding route. For some, additional modules or configuration may
-      // be necessary.
-      try {
-        $generated_url = $url->toString();
-      }
-      catch (RouteNotFoundException $e) {
-        continue;
-      }
-
       // Set the URI relationships, like canonical.
       $page['#attached']['html_head_link'][] = array(
         array(
           'rel' => $rel,
-          'href' => $generated_url,
+          'href' => $term->url($rel),
         ),
         TRUE,
       );