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

Anonym (Autor)

eBook Download: PDF

2021 | 1. Auflage
15 Seiten
GRIN Verlag
978-3-346-37648-0 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 29.3.2021
• Verlagsort: München
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Schlagworte: Dijkstra • graph theory • linear time • Optimization • Planar Graphs • shortest paths • time complexity
• ISBN-10: 3-346-37648-6 / 3346376486
• ISBN-13: 978-3-346-37648-0 / 9783346376480