Aimed at an audience of researchers and graduate students in computational geometry and algorithm design, this book uses the Geometric Spanner Network Problem to showcase a number of useful algorithmic techniques, data structure strategies, and geometric analysis techniques with many applications, practical and theoretical. The authors present rigorous descriptions of the main algorithms and their analyses for different variations of the Geometric Spanner Network Problem. Though the basic ideas behind most of these algorithms are intuitive, very few are easy to describe and analyze. For most of the algorithms, nontrivial data structures need to be designed, and nontrivial techniques need to be developed in order for analysis to take place. Still, there are several basic principles and results that are used throughout the book. One of the most important is the powerful well-separated pair decomposition. This decomposition is used as a starting point for several of the spanner constructions.

The5th editionof the InternationalSymposium onBioinformaticsResearchand Applications (ISBRA 2009) was held during May 13-16, 2009 at Nova Sou- eastern University in Ft. Lauderdale, Florida. The symposium provides a forum for the exchange of ideas and results among researchers, developers, and prac- tioners working on all aspects of bioinformatics and computational biology and their applications. The technical program of the symposium included 26 contributed papers, selected by the Program Committee from a number of 55 full submissions - ceived in response to the call for papers. The technical program also included contributed papers and abstracts submitted to the Second Workshop on C- putational Issues in Genetic Epidemiology (CIGE 2009), which was held in c- junction with ISBRA 2009. Additionally, the symposium included poster s- sions and featured invited keynote talks by four distinguished speakers: Mikhail Gelfand from the Russian Academy of Sciences and Moscow State University spoke on evolution of regulatory systems in bacteria, Nicholas Tsinoremas from the Miller School of Medicine and the College of Arts and Sciences at the U- versity of Miami spoke on bioinformatics challenges in translational research, Esko Ukkonen from the University of Helsinki spoke on motif construction from high-throughputSELEXdata, andShamil SunyaevfromBrighamand Women's Hospital and Harvard Medical School spoke on interpreting population seque- ing data. We would like to thank the Program Committee members and external - viewers for volunteering their time to review and discuss symposium papers.

This book constitutes the proceedings of the 16th International Symposium on Bioinformatics Research and Applications, ISBRA 2020, held in Moscow, Russia, in December 2020. The 23 full papers and 18 short papers presented in this book were carefully reviewed and selected from 131 submissions. They were organized in topical sections named: genome analysis; systems biology; computational proteomics; machine and deep learning; and data analysis and methodology.

This book constitutes revised selected papers from the 9th International Conference on Computational Advances in Bio and Medical Sciences, ICCABS 2019, held in Miami, Florida, USA in November 2019.The 15 papers presented in this volume were carefully reviewed and selected from 30 submissions. They deal with topics such as computational biology; biomedical image analysis; biological networks; cancer genomics; gene enrichment analysis; functional genomics; interaction networks; protein structure prediction; dynamic programming; and microbiome analysis.