ECCC
Electronic Colloquium on Computational Complexity
Login | Register | Classic Style



REPORTS > DETAIL:

Paper:

TR07-091 | 10th September 2007 00:00

Logic, Graphs, and Algorithms

RSS-Feed




TR07-091
Authors: Martin Grohe
Publication: 24th September 2007 18:57
Downloads: 1048
Keywords: 


Abstract:

Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined in terms of logic and graph theory. An archetypal algorithmic meta theorem is Courcelle's Theorem, which states that all graph properties definable in monadic second-order logic can be decided in linear time on graphs of bounded tree width.

This article is an introduction into the theory underlying such meta theorems and a survey of the most important results in this area.



ISSN 1433-8092 | Imprint