Eli Fox-Epstein
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View article: Embedding Planar Graphs into Low-Treewidth Graphs with Applications to Efficient Approximation Schemes for Metric Problems
Embedding Planar Graphs into Low-Treewidth Graphs with Applications to Efficient Approximation Schemes for Metric Problems Open
We show that, for any ∊ > 0, there is a deterministic embedding of edge-weighted planar graphs of diameter D into bounded-treewidth graphs. The embedding has additive error ∊D. We use this construction to obtain the first efficient bicrite…
View article: Engineering an Approximation Scheme for Traveling Salesman in Planar Graphs
Engineering an Approximation Scheme for Traveling Salesman in Planar Graphs Open
We present an implementation of a linear-time approximation scheme for the traveling salesman problem on planar graphs with edge weights. We observe that the theoretical algorithm involves constants that are too large for practical use. Ou…