Cloud computing became recently one of the most popular multi-layer distributed computational and data processing environments with various types of services, distributed data storages and resources. With rapid development of mobile technologies, computational clouds have been transformed into the systems with dynamically changing topology and flexible infrastructure through integration with the mobile devices and mobile users as the whole system nodes and actors. The aim of this paper is to provide a comprehensive study and critical comparative analysis of the recent developments in the Mobile Clouds with a new energy optimization criterion scheduling