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» The upper bound on k-tuple domination numbers of graphs
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ICALP
2011
Springer
12 years 12 months ago
On the Advice Complexity of the k-Server Problem
Competitive analysis is the established tool for measuring the output quality of algorithms that work in an online environment. Recently, the model of advice complexity has been in...
Hans-Joachim Böckenhauer, Dennis Komm, Rastis...
ISPAN
2005
IEEE
14 years 2 months ago
The structure of super line graphs
For a given graph G = (V, E) and a positive integer k, the super line graph of index k of G is the graph Sk(G) which has for vertices all the k-subsets of E(G), and two vertices S...
Jay Bagga, Daniela Ferrero
FOCS
2009
IEEE
14 years 3 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
DCOSS
2008
Springer
13 years 10 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
COMGEO
2011
ACM
13 years 3 months ago
A computational approach to Conway's thrackle conjecture
A drawing of a graph in the plane is called a thrackle if every pair of edges meets precisely once, either at a common vertex or at a proper crossing. Let t(n) denote the maximum ...
Radoslav Fulek, János Pach