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FCT
2009
Springer
13 years 11 months ago
Energy Complexity and Depth of Threshold Circuits
Abstract. In the paper we show that there is a close relationship between the energy complexity and the depth of threshold circuits computing any Boolean function although they hav...
Kei Uchizawa, Takao Nishizeki, Eiji Takimoto
FCT
2009
Springer
13 years 11 months ago
On Random Betweenness Constraints
Despite of their applicability betweennness constraints have (to the authorā€™s knowledge) hardly been considered from the random structures point of view. They are essentially diļ...
Andreas Goerdt
FCT
2009
Springer
13 years 11 months ago
Small Weakly Universal Turing Machines
We give small universal Turing machines with state-symbol pairs of (6, 2), (3, 3) and (2, 4). These machines are weakly universal, which means that they have an inļ¬nitely repeate...
Turlough Neary, Damien Woods
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 deļ¬ned 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
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 identiļ¬ed with...
Slawomir Staworko, Grégoire Laurence, Aur&e...