ISBN: 9781334014017 - on arrangements of jordan arcs with three intersections per pair (classic reprint) (3 Ergebnisse)

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Zustand: New. Print on Demand. This book delves into the realm of topological and combinatorial properties of the boundary of a union of regions in a plane, bounded by Jordan curves. The author investigates these properties, under the assumption that any two curves intersect in at most three points, a condition known as the three-intersection problem. By constructing a simply connected surface that covers the union of these regions, the author proves that the total number of intersection points on the boundary is bounded by a specific function of the number of regions. This bound holds even in cases where the complement of the union contains holes. The book's insights provide valuable contributions to the understanding of the geometric properties of such boundaries and have implications for motion-planning algorithms and other combinatorial optimization problems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…