National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
Shortest Paths in a Graph
Krauter, Michal ; Křivka, Zbyněk (referee) ; Masopust, Tomáš (advisor)
This thesis deals with shortest paths problem in graphs. Shortest paths problem is the basic issue of graph theory with many pracitcal applications. We can divide this problem into two following generalizations: single-source shortest path problem and all-pairs shortest paths problem. This text introduces principles and algorithms for generalizations. We describe both classical and new more efficient methods. It contains information about how some of these algorithms were implemented and offers an experimental comparison of these algorithms.
Correction of Invalid Trees with Respect to Regular Tree Grammars
Svoboda, Martin ; Holubová, Irena (advisor) ; Bača, Radim (referee) ; Pardede, Eric (referee)
XML documents and related technologies represent one of the most widespread ways how data on the Web are maintained and interchanged. Unfortunately, many of the real-world documents contain various types of consistency issues that prevent their successful automated processing. In this thesis we focus on the problem of the structural invalidity and its correction. In particular, having one potentially invalid XML document modeled as a tree, and a schema in DTD or XML Schema languages modeled as a regular tree grammar, our goal is to find all the minimal corrections of this tree. The model we proposed builds on top of the recursively nested structures of correction multigraphs, where the shortest paths are being found. For this purpose we formally introduce three correction strategies with different pruning optimizations applied. According to the experiments we performed, the refinement correction strategy not only significantly outperforms all the other existing approaches, but also guarantees important characteristics the others cannot. Powered by TCPDF (www.tcpdf.org)
Shortest Paths in a Graph
Krauter, Michal ; Křivka, Zbyněk (referee) ; Masopust, Tomáš (advisor)
This thesis deals with shortest paths problem in graphs. Shortest paths problem is the basic issue of graph theory with many pracitcal applications. We can divide this problem into two following generalizations: single-source shortest path problem and all-pairs shortest paths problem. This text introduces principles and algorithms for generalizations. We describe both classical and new more efficient methods. It contains information about how some of these algorithms were implemented and offers an experimental comparison of these algorithms.

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