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» Logical complexity of graphs: a survey
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CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 5 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
BIRTHDAY
2010
Springer
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe
TIME
2008
IEEE
13 years 11 months ago
Temporal Description Logics: A Survey
We survey temporal description logics that are based on standard temporal logics such as LTL and CTL. In particular, we concentrate on the computational complexity of the satisfi...
Carsten Lutz, Frank Wolter, Michael Zakharyaschev
CSR
2008
Springer
13 years 5 months ago
Colouring, constraint satisfaction, and complexity
Constraint satisfaction problems have enjoyed much attention since the early seventies, and in the last decade have become also a focus of attention amongst theoreticians. Graph c...
Pavol Hell, Jaroslav Nesetril
MFCS
1992
Springer
13 years 9 months ago
The Complexity of Graph Connectivity
In this paper we survey the major developments in understanding the complexity of the graph connectivity problem in several computational models, and highlight some challenging op...
Avi Wigderson