This volume provides broad coverage of computational and mathematical techniques and concepts related to the field of comparative genomics. The topics covered in the chapters range from those concerned with general techniques and concepts that apply to all organisms to others that are more specialized, covering specific biological systems such as viruses, Drosophila, and Homo sapiens. Written in the highly successful Methods in Molecular Biology series format, by authors who are active researchers in the field, many chapters include step-by-step procedures, which illustrate practical applications of the techniques described. Cutting-edge and thorough, Comparative Genomics: Methods and Protocols should be useful to students and researchers in the continually growing and exciting field of comparative genomics.

Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrodinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) Geometric properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. The observation that the cost functions of quite a few of the well-studied combinatorial optimization problems are eigenvectors of associated graph Laplacians has prompted the investigation of such eigenvectors.

The volume investigates the structure of eigenvectors and looks at the number of their sign graphs ( nodal domains ), Perron components, graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology."

Readers will find here a fascinating text that is the thoroughly refereed post-proceedings of the 9th Workshop on the Foundations of Genetic Algorithms, FOGA 2007, held in Mexico City in January 2007. The 11 revised full papers presented were carefully reviewed and selected during two rounds of reviewing and improvement from 22 submissions. The papers address all current topics in the field of theoretical evolutionary computation and also depict the continuing growth in interactions with other fields such as mathematics, physics, and biology

This book constitutes the refereed proceedings of the Brazilian Symposium on Bioinformatics, BSB 2021, held in November 2021. Due to COVID-19 pandemic the conference was held virtually The 10 revised full papers and 5 short papers were carefully reviewed and selected from 28 submissions. The papers address a broad range of current topics in computational biology and bioinformatics.