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Titlebook: Automata, Languages, and Programming; 40th International C Fedor V. Fomin,Rūsiņš Freivalds,David Peleg Conference proceedings 2013 Springer

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Tight Lower Bound for Linear Sketches of Momentstight lower bound of Ω(..log.) words for the class of algorithms based on linear sketches, which store only a sketch . of input vector . and some (possibly randomized) matrix .. We note that all known algorithms for this problem are linear sketches.
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Search-Space Size in Contraction Hierarchiesnder a worst-case assumption on the edge lengths, our bounds are comparable to the recent results of Abraham et al. [1], whose analysis depends also on the edge lengths. As a side result, we link their notion of highway dimension (a parameter that is conjectured to be small, but is unknown for all p
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On the Complexity of Higher Order Abstract Voronoi Diagramslidean and .. plane [18,19], and, very recently, for line segments [23]. These proofs made extensive use of the geometry of the sites..Our result on AVDs implies a 2. (. − .) upper bound for a wide range of cases for which only trivial upper complexity bounds were previously known, and a slightly sh
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Gewöhnliche Differentialgleichungen forest (PCSF), where we have . demands each requesting the connectivity of a pair of vertices. Our algorithm can be seen as a greedy algorithm which reduces the number of demands by choosing a structure with minimum cost-to-reduction ratio. This natural style of argument (also used by Klein and Rav
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