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WAW
2010
Springer
312views Algorithms» more  WAW 2010»
13 years 5 months ago
The Geometric Protean Model for On-Line Social Networks
We introduce a new geometric, rank-based model for the link structure of on-line social networks (OSNs). In the geo-protean (GEO-P) model for OSNs nodes are identified with points ...
Anthony Bonato, Jeannette Janssen, Pawel Pralat
CCCG
2010
13 years 9 months ago
3d local algorithm for dominating sets of unit disk graphs
A dominating set of a graph G = (V, E) is a subset V V of the nodes such that for all nodes v V , either v V or a neighbor u of v is in V . Several routing protocols in ad hoc ...
Alaa Eddien Abdallah, Thomas Fevens, Jaroslav Opat...
PODC
2011
ACM
12 years 10 months ago
Locally checkable proofs
This work studies decision problems from the perspective of nondeterministic distributed algorithms. For a yes-instance there must exist a proof that can be verified with a distri...
Mika Göös, Jukka Suomela
WG
2010
Springer
13 years 5 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
ECEASST
2008
91views more  ECEASST 2008»
13 years 7 months ago
Graph Transformation Model of a Triangulated Network of Mobile Units
Abstract: A triangulated network of mobile units is modelled by means of a graph transformation system in which graph nodes are labelled with geometric coordinates and edges are la...
Stefan Gruner