Combinatorial and Computational Geometry

This volume, Combinatorial and Computational Geometry, features 32 papers that explore the intersection of Discrete and Computational Geometry, highlighting key advancements in the field.

The 2005 volume titled Combinatorial and Computational Geometry presents a comprehensive exploration of the intersection between Discrete Geometry and Computational Geometry. This collection of 32 papers delves into various topics, including geometric arrangements, polytopes, and the complexities of geometric algorithms. The authors provide insightful surveys and research articles that highlight the advancements and challenges faced in this dynamic field, particularly focusing on low-dimensional geometric objects.

The synergistic relationship between Discrete and Computational Geometry has fostered significant growth and innovation among mathematicians and computer scientists. Combinatorial and Computational Geometry reflects this evolution, offering readers a deep dive into the combinatorial complexity of geometric structures and the practical applications that arise from these theoretical foundations. The volume also discusses connections to diverse fields such as mathematical programming, visibility problems, and even biochemistry, illustrating the broad relevance of geometric research.

In this book, readers will find a rich tapestry of ideas and methodologies that showcase the ongoing dialogue between discrete and algorithmic aspects of geometry. The insights provided in Combinatorial and Computational Geometry not only enhance our understanding of geometric problems but also pave the way for future research and applications across multiple disciplines.