About: Graph and Geometric Algorithms and Efficient Data Structures

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Many NP-complete optimization problems may be approximately solved by stochastic or deterministic heuristic methods and it is necessary to find their efficient data representation to minimize iteration computational time. In this chapter, we will touch the Minimum Steiner Tree Problems in Graphs (or Network Steiner Tree Problem), which can be solved by heuristics based on the Minimum Spanning Tree Problem and/or the Shortest Path Problem using a binary heap that enables to implement a priority queue that substantially increases the algorithm efficiency. We will also show a Delaunay triangulation-based way of finding minimal networks connecting a set of given points in the Euclidean plane using straight lines (minimum spanning tree) and its more general case (Steiner minimum tree) where additional points can be considered. Finally, we will deal with visibility graphs, Voronoi diagrams and rapidly exploring trees and focus on their applications in robot motion planning, where the robot should pass aroun Many NP-complete optimization problems may be approximately solved by stochastic or deterministic heuristic methods and it is necessary to find their efficient data representation to minimize iteration computational time. In this chapter, we will touch the Minimum Steiner Tree Problems in Graphs (or Network Steiner Tree Problem), which can be solved by heuristics based on the Minimum Spanning Tree Problem and/or the Shortest Path Problem using a binary heap that enables to implement a priority queue that substantially increases the algorithm efficiency. We will also show a Delaunay triangulation-based way of finding minimal networks connecting a set of given points in the Euclidean plane using straight lines (minimum spanning tree) and its more general case (Steiner minimum tree) where additional points can be considered. Finally, we will deal with visibility graphs, Voronoi diagrams and rapidly exploring trees and focus on their applications in robot motion planning, where the robot should pass aroun (en)
Title	Graph and Geometric Algorithms and Efficient Data Structures Graph and Geometric Algorithms and Efficient Data Structures (en)
skos:prefLabel	Graph and Geometric Algorithms and Efficient Data Structures Graph and Geometric Algorithms and Efficient Data Structures (en)
skos:notation	RIV/00216305:26210/12:PU102952!RIV13-GA0-26210___
http://linked.open...avai/predkladatel	Fakulta strojního inženýrství
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA102/09/1680)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Šeda, Miloš
http://linked.open.../riv/druhVysledku	C - Kapitola v knize
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta strojního inženýrství
http://linked.open...dnocenehoVysledku	138395
http://linked.open...ai/riv/idVysledku	RIV/00216305:26210/12:PU102952
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Steiner tree, Voronoi diagram, Delaunay triangulation, visibility graph, rapidly exploring tree, binary heap (en)
http://linked.open.../riv/klicoveSlovo	Voronoi diagram Delaunay triangulation Steiner tree rapidly exploring tree visibility graph binary heap
http://linked.open...ontrolniKodProRIV	[73480042C353]
http://linked.open...i/riv/mistoVydani	Berlin (Germany)
http://linked.open...vEdiceCisloSvazku	Optimisation
http://linked.open...i/riv/nazevZdroje	Zelinka, I., Snášel, V., Abraham, A. (eds.): Handbook of Optimization. From Classical to Modern Approach.
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	1100 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Control Algorithm Design by Means of Evolutionary Approach
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Šeda, Miloš
number of pages	23 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-30503-0
http://localhost/t...ganizacniJednotka	26210
is http://linked.open...avai/riv/vysledek of	Graph and Geometric Algorithms and Efficient Data Structures

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