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MFCS
2007
Springer
14 years 1 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
MFCS
2007
Springer
14 years 1 months ago
Towards a Rice Theorem on Traces of Cellular Automata
The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram. We prove the undecidability of a rather large class of p...
Julien Cervelle, Pierre Guillon
MFCS
2007
Springer
14 years 1 months ago
Finding Patterns in Given Intervals
In this paper, we study the pattern matching problem in given intervals. Depending on whether the intervals are given a priori for pre-processing, or during the query along with th...
Maxime Crochemore, Costas S. Iliopoulos, M. Sohel ...
MFCS
2007
Springer
14 years 1 months ago
Minimizing Variants of Visibly Pushdown Automata
The minimization problem for visibly pushdown automata (VPA) is studied. Two subclasses of VPA are introduced: call driven automata, and block automata. For the first class, minim...
Patrick Chervet, Igor Walukiewicz