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Identifier

uch.csd.msc//2005papamanthou

Title

Υπολογισμός Παραμετρικών ως προς το Μακρύτερο Μονοπάτι st-Προσανατολισμών Γράφων: Αλγόριθμοι και Εφαρμογές

Alternative Title

Computing Longest Path Parameterized st-Orientations of Graphs: Algorithms and Applications

Creator

Papamanthou, Charalampos

Abstract

The problem of orienting an undirected graph such that it has one source, one sink, and no cycles (st-orientation) is central to many graph algorithms and applications, such as graph drawing (hierarchical drawings, visibility representations, orthogonal drawings), graph coloring, longest path and network routing. Most algorithms use any algorithm that produces such an orientation, without expecting any specific properties of the oriented graph. In this thesis we present a new algorithm that computes st-orientations with certain characteristics. Actually, we describe new algorithms along with theoretical and experimental results that show that there is an efficient way to control the length of the longest path that corresponds to an st-orientation. The importance of this research direction has been implied in the past, especially in the field of Graph Drawing. Our algorithms are able to compute st-oriented graphs of "parameter-defined" length of longest path, the value of which is very important in the quality of the solution many algorithms produce. For example the area-bounds of many graph drawing algorithms are dependent on the length of the longest path of the st-oriented graph. Moreover, certain st-orientations of graphs can approximate suitably formulated graph problems (longest path, graph coloring). Finally, network routing via st-numberings gives alternate paths towards any destination and therefore deriving different (parameterized longest-path) st-numberings provides flexibility to many proposed routing protocols. We investigate most of these applications and show that there is indeed a need for parameterized st-numberings.

Issue date

2005-07-01

Date available

2005-07-20

Collection

School/Department--School of Sciences and Engineering--Department of Computer Science--Post-graduate theses

Type of Work--Post-graduate theses

Views

440

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