TY - CHAP
T1 - Parameterized st-Orientations of Graphs: Algorithms and Experiments
T2 - Graph Drawing
Y1 - 2007
A1 - Charalampos Papamanthou
A1 - Tollis, Ioannis G.
ED - Kaufmann, Michael
ED - Wagner, Dorothea
KW - Algorithm Analysis and Problem Complexity
KW - Computer Graphics
KW - Data structures
KW - Discrete Mathematics in Computer Science
AB - st-orientations (st-numberings) or bipolar orientations of undirected graphs are central to many graph algorithms and applications. Several algorithms have been proposed in the past to compute an st-orientation of a biconnected graph. However, as indicated in [1], the computation of more than one st-orientation is very important for many applications in multiple research areas, such as this of Graph Drawing. In this paper we show how to compute such orientations with certain (parameterized) characteristics in the final st-oriented graph, such as the length of the longest path. Apart from Graph Drawing, this work applies in other areas such as Network Routing and in tackling difficult problems such as Graph Coloring and Longest Path. We present primary approaches to the problem of computing longest path parameterized st-orientations of graphs, an analytical presentation (together with proof of correctness) of a new O(mlog5 n) (O(mlogn) for planar graphs) time algorithm that computes such orientations (and which was used in [1]) and extensive computational results that reveal the robustness of the algorithm.
JA - Graph Drawing
T3 - Lecture Notes in Computer Science
PB - Springer Berlin Heidelberg
SN - 978-3-540-70903-9, 978-3-540-70904-6
UR - http://link.springer.com/chapter/10.1007/978-3-540-70904-6_22
ER -