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» Local polyhedra and geometric graphs
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106
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EJC
2010
14 years 11 months ago
Connectivity of chamber graphs of buildings and related complexes
Let be a finite building (or, more generally, a thick spherical and locally finite building). The chamber graph G(), whose edges are the pairs of adjacent chambers in , is known t...
Anders Björner, Kathrin Vorwerk
HYBRID
2007
Springer
15 years 3 months ago
Solving Coverage Problems with Embedded Graph Grammars
We show how Embedded Graph Grammars (EGGs) are used to specify local interaction rules between mobile robots in a natural manner. This formalism allows us to treat local network to...
John-Michael McNew, Eric Klavins, Magnus Egerstedt
SIROCCO
2007
15 years 1 months ago
Local Edge Colouring of Yao-Like Subgraphs of Unit Disk Graphs
The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such t...
Jurek Czyzowicz, Stefan Dobrev, Evangelos Kranakis...
106
Voted
CCCG
2010
15 years 1 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...
ECEASST
2008
91views more  ECEASST 2008»
14 years 11 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