Somnath Paul Livres

Focusing on the spectral radius of graphs, this book delves into the relationship between linear algebra and graph theory, particularly through the lens of distance matrices. It offers a comprehensive survey of the largest eigenvalue of distance matrices, highlighting its structural implications for graphs. While adjacency and Laplacian matrices have received extensive attention, the distance matrix is less explored yet relevant in fields like communication network design. The authors aim to inspire research in this area and address existing gaps in the study of distance spectra.

This book analyzes energy and reliability as major challenges faced by designers of computing frameworks in the nanometer technology regime. The authors describe the existing solutions to address these challenges and then reveal a new reconfigurable computing platform, which leverages high-density nanoscale memory for both data storage and computation to maximize the energy-efficiency and reliability. The energy and reliability benefits of this new paradigm are illustrated and the design challenges are discussed. Various hardware and software aspects of this exciting computing paradigm are described, particularly with respect to hardware-software co-designed frameworks, where the hardware unit can be reconfigured to mimic diverse application behavior. Finally, the energy-efficiency of the paradigm described is compared with other, well-known reconfigurable computing platforms.