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SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
15 years 8 months ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
ICALP
2010
Springer
15 years 7 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
COMPGEOM
2004
ACM
15 years 8 months ago
Low-dimensional embedding with extra information
A frequently arising problem in computational geometry is when a physical structure, such as an ad-hoc wireless sensor network or a protein backbone, can measure local information...
Mihai Badoiu, Erik D. Demaine, Mohammad Taghi Haji...
APPROX
2009
Springer
153views Algorithms» more  APPROX 2009»
15 years 9 months ago
Average-Case Analyses of Vickrey Costs
We explore the average-case “Vickrey” cost of structures in a random setting: the Vickrey cost of a shortest path in a complete graph or digraph with random edge weights; the V...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
ESA
2006
Springer
126views Algorithms» more  ESA 2006»
15 years 6 months ago
Cooperative TSP
In this paper we introduce and study cooperative variants of the Traveling Salesperson Problem. In these problems a salesperson has to make deliveries to customers who are willing ...
Amitai Armon, Adi Avidor, Oded Schwartz