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LICS
2010
IEEE
14 years 7 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
FCT
2007
Springer
14 years 11 months ago
On the Complexity of Kings
The diameter of an undirected graph is the minimal number d such that there is a path between any two vertices of the graph of length at most d. The radius of a graph is the minim...
Edith Hemaspaandra, Lane A. Hemaspaandra, Till Tan...
CSL
2006
Springer
15 years 1 months ago
On Rational Trees
Rational graphs are a family of graphs defined using labelled rational transducers. Unlike automatic graphs (defined using synchronized transducers) the first order theory of these...
Arnaud Carayol, Christophe Morvan
STACS
2010
Springer
15 years 4 months ago
The Recognition of Tolerance and Bounded Tolerance Graphs
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This subclass of perfect graphs has bee...
George B. Mertzios, Ignasi Sau, Shmuel Zaks
JAPLL
2006
114views more  JAPLL 2006»
14 years 9 months ago
The monadic second-order logic of graphs XV: On a conjecture by D. Seese
A conjecture by D. Seese states that if a set of graphs has a decidable monadic second-order theory, then it is the image of a set of trees under a transformation defined by monad...
Bruno Courcelle