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» The Number of Bits Needed to Represent a Unit Disk Graph
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WG
2010
Springer
13 years 3 months ago
The Number of Bits Needed to Represent a Unit Disk Graph
We prove that for sufficiently large n, there exist unit disk graphs on n vertices such that for every representation with disks in the plane at least c √ n bits are needed to wr...
Colin McDiarmid, Tobias Müller
IMCSIT
2010
13 years 2 months ago
Fast Construction of Broadcast Scheduling and Gossiping in Dynamic Ad Hoc Networks
This paper studies the minimum latency broadcast schedule (MLBS) problem in ad hoc networks represented by unit disk graphs. In our approach we use an algorithm, which does not nee...
Krzysztof Krzywdzinski
DCOSS
2008
Springer
13 years 6 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
ADHOCNOW
2008
Springer
13 years 11 months ago
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
We present 1 − approximation algorithms for the maximum matching problem in location aware unit disc graphs and in growth-bounded graphs. The algorithm for unit disk graph is loc...
Andreas Wiese, Evangelos Kranakis
PVLDB
2010
129views more  PVLDB 2010»
13 years 3 months ago
iGraph: A Framework for Comparisons of Disk-Based Graph Indexing Techniques
Graphs are of growing importance in modeling complex structures such as chemical compounds, proteins, images, and program dependence. Given a query graph Q, the subgraph isomorphi...
Wook-Shin Han, Jinsoo Lee, Minh-Duc Pham, Jeffrey ...