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CCCG
2010
13 years 7 months ago
Stable roommates and geometric spanners
In this paper we devise a new geometric spanner based on a generalization of the known Stable Roommates algorithm. This spanner is on the "path" between the Yao graph an...
Paz Carmi, Lilach Chaitman
CCCG
2004
13 years 7 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
WAW
2007
Springer
122views Algorithms» more  WAW 2007»
14 years 10 days ago
A Geometric Preferential Attachment Model of Networks II
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. This model yields a graph with power-law degree distributio...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
COMPGEOM
2004
ACM
13 years 11 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
WG
1999
Springer
13 years 10 months ago
Linear Orderings of Random Geometric Graphs
Abstract. In random geometric graphs, vertices are randomly distributed on [0, 1]2 and pairs of vertices are connected by edges whenever they are sufficiently close together. Layou...
Josep Díaz, Mathew D. Penrose, Jordi Petit,...