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COCOON
2005
Springer
14 years 2 months ago
On the Complexity of the Balanced Vertex Ordering Problem
We consider the problem of finding a balanced ordering of the vertices of a graph. More precisely, we want to minimise the sum, taken over all vertices v, of the difference betwe...
Jan Kára, Jan Kratochvíl, David R. W...
CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 8 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
APAL
2008
92views more  APAL 2008»
13 years 8 months ago
The complexity of random ordered structures
We show that for random bit strings, Up(n), with probability, p = 1 2 , the firstorder quantifier depth D(Up(n)) needed to distinguish non-isomorphic structures is (lg lg n), with...
Joel H. Spencer, Katherine St. John
CORR
2007
Springer
151views Education» more  CORR 2007»
13 years 8 months ago
The Complexity of Games on Higher Order Pushdown Automata
Abstract. We prove an n-exptime lower bound for the problem of deciding the winner in a reachability game on Higher Order Pushdown Automata (HPDA) of level n. This bound matches th...
Thierry Cachat, Igor Walukiewicz
ISAAC
1995
Springer
135views Algorithms» more  ISAAC 1995»
14 years 14 hour ago
The I/O - Complexity of Ordered Binary - Decision Diagram Manipulation
Ordered Binary-Decision Diagrams (OBDD) are the state-of-the-art data structure for boolean function manipulation and there exist several software packages for OBDD manipulation. ...
Lars Arge