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Title of Journal: Algorithmica

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Abbravation: Algorithmica

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Springer-Verlag

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1432-0541

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Maximum SeriesParallel Subgraph

Authors: Gruia Călinescu Cristina G Fernandes Hemanshu Kaul Alexander Zelikovsky
Publish Date: 2011/05/11
Volume: 63, Issue: 1-2, Pages: 137-157
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Abstract

Consider the NPhard problem of given a simple graph G to find a seriesparallel subgraph of G with the maximum number of edges The algorithm that given a connected graph G outputs a spanning tree of G is a frac12approximation Indeed if n is the number of vertices in G any spanning tree in G has n−1 edges and any seriesparallel graph on n vertices has at most 2n−3 edges We present a frac712approximation for this problem and results showing the limits of our approach

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  2. Integer Representation and Counting in the Bit Probe Model
  3. An Efficient Fixed Parameter Tractable Algorithm for 1-Sided Crossing Minimization
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  12. On Succinct Greedy Drawings of Plane Triangulations and 3-Connected Plane Graphs
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  18. The Parameterized Complexity of Local Search for TSP, More Refined
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  20. Approximation Algorithms for Scheduling with Reservations
  21. Algorithms for the Homogeneous Set Sandwich Problem
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  25. An Approximation Algorithm for the Minimum Co-Path Set Problem
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