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FOCS
2007
IEEE
14 years 3 days ago
On the Optimality of Planar and Geometric Approximation Schemes
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
Dániel Marx
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
13 years 9 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas
STACS
2007
Springer
13 years 12 months ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
STOC
2007
ACM
181views Algorithms» more  STOC 2007»
14 years 6 months ago
How to rank with few errors
We present a polynomial time approximation scheme (PTAS) for the minimum feedback arc set problem on tournaments. A simple weighted generalization gives a PTAS for KemenyYoung ran...
Claire Kenyon-Mathieu, Warren Schudy
ICALP
2011
Springer
12 years 9 months ago
Clique Clustering Yields a PTAS for max-Coloring Interval Graphs
We are given an interval graph G = (V, E) where each interval I ∈ V has a weight wI ∈ R+. The goal is to color the intervals V with an arbitrary number of color classes C1, C2...
Tim Nonner