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» A Polynomial Bound for Untangling Geometric Planar Graphs
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WADS
1993
Springer
163views Algorithms» more  WADS 1993»
15 years 1 months ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian
ECCC
2010
143views more  ECCC 2010»
14 years 7 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran
COMGEO
2012
ACM
13 years 5 months ago
Routing multi-class traffic flows in the plane
We study a class of multi-commodity flow problems in geometric domains: For a given planar domain P populated with obstacles (holes) of K ≥ 2 types, compute a set of thick path...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...
ICALP
2001
Springer
15 years 2 months ago
Approximation Algorithms for Partial Covering Problems
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
Rajiv Gandhi, Samir Khuller, Aravind Srinivasan
99
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SIAMDM
2010
194views more  SIAMDM 2010»
14 years 4 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...