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Titlebook: Automata, Languages, and Programming; 42nd International C Magnús M. Halldórsson,Kazuo Iwama,Bettina Speckman Conference proceedings 2015 S

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On the Randomized Competitive Ratio of Reordering Buffer Management with Non-Uniform Costs,hat version of the problem (Adamaszek et al. , STOC 2011). In this paper, we give an .-competitive algorithm for the non-uniform case, where . is the ratio of the maximum to minimum color weight. Our work demonstrates that randomness can achieve exponential improvement in the competitive ratio even
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Serving in the Dark should be done Non-Uniformly,how that although no information is ever provided to the algorithm, using non-uniform probability distribution reduces the competitive ratio. Specifically, we design a 1.55-competitive algorithm and establish a lower bound of 1.5. We also prove a lower bound of 2 against any deterministic algorithm.
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Approximation Algorithms for Min-Sum ,-Clustering and Balanced ,-Median,dian in metrics with constant doubling dimension..As in the work of Bartal et al., our approximation for general metrics uses embeddings into tree metrics. The main technical contribution in this paper is an .(1)-approximation for Balanced .-Median in hierarchically separated trees (HSTs). Our impro
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Solving Linear Programming with Constraints Unknown,defined by the constraints. In this case, the LP can be efficiently solved (under a mild condition of non-degeneracy). (2) The oracle returns the index of an arbitrary (i.e., worst-case) violated constraint. In this case, we give an algorithm with running time exponential in the number of variables.
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Deterministic Randomness Extraction from Generalized and Distributed Santha-Vazirani Sources,to extract common randomness without communication. Using the notion of ., we prove a necessary condition and a sufficient condition for the possibility of common randomness extraction from these sources. Based on these two conditions, the problem of common randomness extraction essentially reduces
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Limitations of Algebraic Approaches to Graph Isomorphism Testing, related to the combinatorial Weisfeiler-Lehman algorithm. We exactly characterise the power of the Weisfeiler-Lehman algorithm in terms of an algebraic proof system that lies between degree-. Nullstellensatz and degree-. polynomial calculus.
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