diff --git a/.travis.yml b/.travis.yml
index 05f26e3..ac7a091 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -5,15 +5,8 @@ branches:
 language: php
 
 php:
-  - '7.1'
   - '7.2'
 
-matrix:
-  include:
-    - name: Test with the lowest allowed versions of dependencies
-      php: '7.1'
-      install: composer update --prefer-lowest
-
 cache:
   directories:
     - $HOME/.composer/cache
diff --git a/composer.json b/composer.json
index 5162cfc..7fc3e4c 100644
--- a/composer.json
+++ b/composer.json
@@ -10,8 +10,8 @@
         }
     ],
     "require": {
-        "php": "^7.1",
-        "dealerdirect/phpcodesniffer-composer-installer": "^0.6.2",
+        "php": "^7.2",
+        "dealerdirect/phpcodesniffer-composer-installer": "^0.7.0",
         "escapestudios/symfony2-coding-standard": "^3.6",
         "phpmd/phpmd": "^2.6",
         "slevomat/coding-standard": "^6.0",