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portada Network-Design Problems in Graphs and on the Plane
Type
Physical Book
Year
2018
Language
English
Pages
218
Format
Paperback
ISBN13
9783958260764

Network-Design Problems in Graphs and on the Plane

Krzysztof Fleszar (Author) · Würzburg University Press · Paperback

Network-Design Problems in Graphs and on the Plane - Krzysztof Fleszar

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Synopsis "Network-Design Problems in Graphs and on the Plane "

Given points in the plane, connect them using minimum ink. Though the task seems simple, it turns out to be very time consuming. In fact, scientists believe that computers cannot efficiently solve it. So, do we have to resign? This book examines such NP-hard network-design problems, from connectivity problems in graphs to polygonal drawing problems on the plane. First, we observe why it is so hard to optimally solve these problems. Then, we go over to attack them anyway. We develop fast algorithms that find approximate solutions that are very close to the optimal ones. Hence, connecting points with slightly more ink is not hard.

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