A local system receives a graphics structure generated from an application hosted within the local system, where the application is accessed by a remote system. The graphics structure represents a display output from the application, where the graphics structure is generated in response to a change of display characteristics of the local system. A hash generator generates a first hash from the graphics structure according to a hash algorithm. It is determining whether there is an existing hash maintained by the local system that matches the first hash. The local system transmits the first hash to the remote system without sending the graphics structure if there is an existing hash matching the first hash. The first hash is used by the remote system to identify a graphics structure maintained by the remote system for rendering a display of the remote system.