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» The Complexity of Planar Counting Problems
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ISAAC
1998
Springer
99views Algorithms» more  ISAAC 1998»
14 years 41 min ago
On the Multiple Gene Duplication Problem
Abstract. A fundamental problem in computational biology is the determination of the correct species tree for a set of taxa given a set of possibly contradictory gene trees. In rec...
Michael R. Fellows, Michael T. Hallett, Ulrike Ste...
CORR
2009
Springer
99views Education» more  CORR 2009»
13 years 5 months ago
Quotient Complexity of Regular Languages
The past research on the state complexity of operations on regular languages is examined, and a new approach based on an old method (derivatives of regular expressions) is presente...
Janusz A. Brzozowski
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 7 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
LATA
2009
Springer
14 years 2 months ago
Automata on Gauss Words
In this paper we investigate the computational complexity of knot theoretic problems and show upper and lower bounds for planarity problem of signed and unsigned knot diagrams repr...
Alexei Lisitsa, Igor Potapov, Rafiq Saleh
TCS
2010
13 years 6 months ago
Iterative compression and exact algorithms
Iterative Compression has recently led to a number of breakthroughs in parameterized complexity. Here, we show that the technique can also be useful in the design of exact exponen...
Fedor V. Fomin, Serge Gaspers, Dieter Kratsch, Mat...