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» On approximating the maximum diameter ratio of graphs
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CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 6 months ago
Maximum Betweenness Centrality: Approximability and Tractable Cases
The Maximum Betweenness Centrality problem (MBC) can be defined as follows. Given a graph find a k-element node set C that maximizes the probability of detecting communication be...
Martin Fink, Joachim Spoerhase
PROPERTYTESTING
2010
13 years 5 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
STACS
2010
Springer
14 years 2 months ago
Long Non-crossing Configurations in the Plane
We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computation...
Noga Alon, Sridhar Rajagopalan, Subhash Suri
CORR
2006
Springer
164views Education» more  CORR 2006»
13 years 7 months ago
Approximation Algorithms for Restricted Cycle Covers Based on Cycle Decompositions
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 5 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer