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FCT
2009
Springer
13 years 11 months ago
Equivalence of Deterministic Nested Word to Word Transducers
We study the equivalence problem of deterministic nested word to word transducers and show it to be suprisingly robust. Modulo polynomal time reductions, it can be identified with...
Slawomir Staworko, Grégoire Laurence, Aur&e...
FCT
2009
Springer
13 years 11 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
FCT
2009
Springer
13 years 11 months ago
Computing Role Assignments of Chordal Graphs
In social network theory, a simple graph G is called k-role assignable if there is a surjective mapping that assigns a number from {1, . . . , k} called a role to each vertex of G ...
Pim van 't Hof, Daniël Paulusma, Johan M. M. ...
FCT
2009
Springer
13 years 11 months ago
On Random Betweenness Constraints
Despite of their applicability betweennness constraints have (to the author’s knowledge) hardly been considered from the random structures point of view. They are essentially di...
Andreas Goerdt
FCT
2009
Springer
13 years 11 months ago
Directed Graphs of Entanglement Two
Entanglement is a complexity measure for directed graphs that was used to show that the variable hierarchy of the propositional modal µ-calculus is strict. While graphs of entangl...
Erich Grädel, Lukasz Kaiser, Roman Rabinovich
FCT
2009
Springer
13 years 11 months ago
Independence Results for n-Ary Recursion Theorems
The n-ary first and second recursion theorems formalize two distinct, yet similar, notions of self-reference. Roughly, the n-ary first recursion theorem says that, for any n algo...
John Case, Samuel E. Moelius
FCT
2009
Springer
13 years 11 months ago
Competitive Group Testing and Learning Hidden Vertex Covers with Minimum Adaptivity
Suppose that we are given a set of n elements d of which are “defective”. A group test can check for any subset, called a pool, whether it contains a defective. It is well know...
Peter Damaschke, Azam Sheikh Muhammad
FCT
2009
Springer
13 years 11 months ago
Alternating Weighted Automata
Weighted automata are finite automata with numerical weights on transitions. Nondeterministic weighted automata define quantitative languages L that assign to each word w a real ...
Krishnendu Chatterjee, Laurent Doyen, Thomas A. He...
FCT
2009
Springer
13 years 11 months ago
Depletable Channels: Dynamics and Behaviour
Pietro Cenciarelli, Daniele Gorla, Ivano Salvo