In this book is given an introduction to Partial Frequency Reuse as Inter-Cell Interference Mitigation scheme for downlink of Long Term Evolution. Furthermore, a short explanation of optimization techniques: Dual Decomposition and Geometric Programming for Radio Resource Allocation is given. Applying the optimization techniques in the next chapters of the book, are presented the optimization algorithms for Radio Resource Allocation. This book is aimed to serve for young and experienced researchers as well as telecommunication experts, who want to understand how to develop and analyze the radio resource allocation algorithms in Partial Frequency Reuse. The optimization algorithms are followed by a considerable number of simulation in order to understand them easily.