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ALGORITHMICA
2011
14 years 6 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
ESA
2004
Springer
97views Algorithms» more  ESA 2004»
15 years 5 months ago
Radio Network Clustering from Scratch
Abstract. We propose a novel randomized algorithm for computing a dominating set based clustering in wireless ad-hoc and sensor networks. The algorithm works under a model which ca...
Fabian Kuhn, Thomas Moscibroda, Roger Wattenhofer
GD
2009
Springer
15 years 4 months ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
CORR
2010
Springer
130views Education» more  CORR 2010»
14 years 8 months ago
Oblivious Buy-at-Bulk in Planar Graphs
In the oblivious buy-at-bulk network design problem in a graph, the task is to compute a fixed set of paths for every pair of source-destination in the graph, such that any set of ...
Srinivasagopalan Srivathsan, Costas Busch, S. Sith...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 4 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...