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» Augmenting the connectivity of geometric graphs
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MONET
2006
157views more  MONET 2006»
13 years 7 months ago
Connectivity in Wireless Ad-hoc Networks with a Log-normal Radio Model
In this paper we study connectivity in wireless ad-hoc networks by modeling the network as an undirected geometric random graph. The novel aspect in our study is that for finding t...
Ramin Hekmat, Piet Van Mieghem
CCCG
2008
13 years 9 months ago
Memory Requirements for Local Geometric Routing and Traversal in Digraphs
Local route discovery in geometric, strongly connected, undirected plane graphs is guaranteed by the Face Routing algorithm. The algorithm is local and geometric in the sense that...
Maia Fraser, Evangelos Kranakis, Jorge Urrutia
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
14 years 28 days ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
14 years 24 days ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera
SODA
2010
ACM
201views Algorithms» more  SODA 2010»
14 years 4 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...