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JCT
2007
95views more  JCT 2007»
13 years 10 months ago
Directed tree-width examples
In [1] Johnson, Robertson, Seymour and Thomas define the notion of directed tree-width dtw(D) of a directed graph D. They ask whether dtw(D) ≥ k − 1 implies that D has a have...
Isolde Adler
TCS
2008
13 years 10 months ago
Digraph measures: Kelly decompositions, games, and orderings
We consider various well-known, equivalent complexity measures for graphs such as elimination orderings, k-trees and cops and robber games and study their natural translations to ...
Paul Hunter, Stephan Kreutzer
CSL
2007
Springer
14 years 5 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
LPAR
2004
Springer
14 years 4 months ago
Entanglement - A Measure for the Complexity of Directed Graphs with Applications to Logic and Games
We propose a new parameter for the complexity of finite directed graphs which measures to what extent the cycles of the graph are intertwined. This measure, called entanglement, i...
Dietmar Berwanger, Erich Grädel