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LICS
2008
IEEE
14 years 1 months ago
The Quest for a Logic Capturing PTIME
The question of whether there is a logic that captures polynomial time is the central open problem in descriptive complexity theory. In my talk, I will review the question and the...
Martin Grohe
BIRTHDAY
2005
Springer
14 years 12 days ago
Graph Transformation with Variables
Abstract. Variables make rule-based systems more abstract and expressive, as witnessed by term rewriting systems and two-level grammars. In this paper we show that variables can be...
Berthold Hoffmann
BIRTHDAY
2010
Springer
13 years 8 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
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 6 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
GC
2007
Springer
13 years 6 months ago
An s -Hamiltonian Line Graph Problem
For an integer k > 0, a graph G is k-triangular if every edge of G lies in at least k distinct 3-cycles of G. In (J Graph Theory 11:399–407 (1987)), Broersma and Veldman propo...
Zhi-Hong Chen, Hong-Jian Lai, Wai-Chee Shiu, Deyin...