Titlebook: Combinatorial Algorithms; 21st International W Costas S. Iliopoulos,William F. Smyth Conference proceedings 2011 Springer Berlin Heidelberg

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Single Parameter FPT-Algorithms for Non-trivial Games, this paper provides positive results regarding Nash equilibria. We show that consideration of sparse games or limitations of the support result in fixed-parameter algorithms with respect to one parameter only for the .. problem. That is, we show that a sample uniform Nash equilibrium in .-sparse im

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The Complexity Status of Problems Related to Sparsest Cuts,(.)/(|.||. ∖ .|). This problem is NP-hard. The proof can be found in [16]. In the case of unit capacities (i. e. if .(.) = 1 for every . ∈ .) the problem is to minimize |.(.,. ∖ .)|/(|.||. ∖ .|) over all subsets . ⊂ .. While this variant of the sparsest cut problem is often assumed to be NP-hard, th

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On Approximation Complexity of Metric Dimension Problem,imension problem is not approximable within . for any ., unless ., and we give an approximation algorithm which matches the lower bound. Even for bounded degree instances it is APX-hard to determine (compute) the exact value of the metric dimension which we prove by constructing an approximation pre

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Computing Role Assignments of Proper Interval Graphs in Polynomial Time,morphism is also called an .-role assignment of .. Role assignments have applications in distributed computing, social network theory, and topological graph theory. The . problem has as input a pair of graphs (.,.) and asks whether . has an .-role assignment. This problem is .-complete already on in

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