Turbo Dijkstra. Finding Single-Source Shortest Paths on Planar Graphs with Nonnegative Edge Weights in Linear Time

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ISBN 10: 3346376494 / ISBN 13: 9783346376497

Published by GRIN Verlag, GRIN Verlag Jun 2021, 2021

About this Item

Neuware -Seminar paper from the year 2021 in the subject Computer Science - Theory, grade: 1.0 (A), University of Passau, language: English, abstract: The need to find shortest paths in a graph from some fixed source vertex to all other vertices is quite obvious and therefore one of the most important problems in graph theory. For general graphs, the standard way to go is the Dijkstra algorithm. On planar graphs, this approach takes linearithmic time in the number of vertices. However, we present an algorithm published by Henzinger et al. in 1997 that accomplishes the task in linear time on planar graphs. 20 pp. Englisch.

Seller Inventory # 9783346376497

Bibliographic Details

• Title: Turbo Dijkstra. Finding Single-Source Shortest Paths on Planar Graphs with Nonnegative Edge Weights in Linear Time
• Publisher: GRIN Verlag, GRIN Verlag Jun 2021
• Publication Date: 2021
• Language: English
• ISBN 10: 3346376494
• ISBN 13: 9783346376497
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

Seminar paper from the year 2021 in the subject Computer Science - Theory, grade: 1.0 (A), University of Passau, language: English, abstract: The need to find shortest paths in a graph from some fixed source vertex to all other vertices is quite obvious and therefore one of the most important problems in graph theory. For general graphs, the standard way to go is the Dijkstra algorithm. On planar graphs, this approach takes linearithmic time in the number of vertices. However, we present an algorithm published by Henzinger et al. in 1997 that accomplishes the task in linear time on planar graphs.