ALCOMFT-TR-03-71

Fedor V. Fomin and Dimitrios M. Thilikos
Dominating Sets in Planar Graphs: Branch-Width and Exponential Speed-up
Barcelona. Work packages 2 and 4. October 2003.

Abstract: Graph minors theory, developed by Robertson & Seymour, provides a list of powerful theoretical results and tools. However, the wide spread opinion in Graph Algorithms community about this theory is that it is mainly of theoretical importance. The main purpose of this paper is to show how very deep min-max and duality theorems from Graph Minors can be used to obtain essential speed-up to many known practical algorithms on different domination problems.

Postscript file: ALCOMFT-TR-03-71.ps.gz (225 kb).