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Titlebook: Algorithm Theory – SWAT 2008; 11th Scandinavian Wo Joachim Gudmundsson Conference proceedings 2008 The Editor(s) (if applicable) and The Au

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Bicriteria Approximation Tradeoff for the Node-Cost Budget Problemnteed a (2,.(log.)) bicriteria approximation, i.e. the solution’s profit is at least a fraction of . of an optimum solution respecting the budget, while its cost is at most twice the given budget. We improve these results and present a bicriteria tradeoff that, given any . ∈ (0,1], guarantees a .-approximation.
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Pola Lehmann,Sven Regel,Sara Schlote algorithms that give good approximations for the general case nonetheless. For networks of bounded treewidth greater than two, we show that the problem is . NP-complete and provide pseudo-polynomial time algorithms. For a special case of graphs with treewidth two, we give a polynomial time algorithm.
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Die Struktur des Planungssystems= . + 1 is also sufficient for a tree . with ., which leads a linear time algorithm for computing .(.) under this condition. We then show that .(.) can be computed in . time for any tree .. Combining these, we finally obtain an . time algorithm, which substantially improves upon previously known results.
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Integer Maximum Flow in Wireless Sensor Networks with Energy Constraint algorithms that give good approximations for the general case nonetheless. For networks of bounded treewidth greater than two, we show that the problem is . NP-complete and provide pseudo-polynomial time algorithms. For a special case of graphs with treewidth two, we give a polynomial time algorithm.
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