Steiner Tree Problem | Jakob Steiner, Combinatorial Optimization, Minimum spanning Tree, Tree (graph theory), Electrical Network, Network Planning and Design

Publisher

OmniScriptum

Publication Date

2026

Language

English

ISBN 10

6130333889

ISBN 13

9786130333881

Binding

Taschenbuch

Condition

Neu

Dimensions

Weight

215 grams

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B�cher

About this title

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Steiner tree problem is superficially similar to the minimum spanning tree problem: given a set V of points (vertices), interconnect them by a network (graph) of shortest length, where the length is the sum of the lengths of all edges. The difference between the Steiner tree problem and the minimum spanning tree problem is that, in the Steiner tree problem, extra intermediate vertices and edges may be added to the graph in order to reduce the length of the spanning tree. These new vertices introduced to decrease the total length of connection are known as Steiner points or Steiner vertices. It has been proved that the resulting connection is a tree, known as the Steiner tree. There may be several Steiner trees for a given set of initial vertices.

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