If you're logging into Facebook via the Parse Android SDK and are building your application package (apk) with ProGuard enabled, here's what you'll need to add to your proguard-project.txt file:
# need this for Facebook SDK
-keepattributes Signature
-dontwarn com.facebook.**
-dontwarn com.parse.**
-keep class com.facebook.** { *; }
-keep class com.parse.** { *; }