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» Diameter bounds for planar graphs
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DM
2011
253views Education» more  DM 2011»
13 years 3 months ago
On the hyperbolicity constant in graphs
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X. The space X is δ-hy...
José M. Rodríguez, Jose Maria Sigarr...
COMGEO
2008
ACM
13 years 8 months ago
Constructing minimum-interference networks
A wireless ad-hoc network can be represented as a graph in which the nodes represent wireless devices, and the links represent pairs of nodes that communicate directly by means of...
Marc Benkert, Joachim Gudmundsson, Herman J. Haver...
CORR
2006
Springer
85views Education» more  CORR 2006»
13 years 8 months ago
Discovering Network Topology in the Presence of Byzantine Faults
We pose and study the problem of Byzantine-robust topology discovery in an arbitrary asynchronous network. The problem straction of fault-tolerant routing. We formally state the we...
Mikhail Nesterenko, Sébastien Tixeuil
WADS
1993
Springer
163views Algorithms» more  WADS 1993»
14 years 18 days ago
Minimum Weight Euclidean Matching and Weighted Relative Neighborhood Graphs
The Minimum Weight Euclidean Matching (MWEM) problem is: given 2n point sites in the plane with Euclidean metric for interpoint distances, match the sites into n pairs so that the...
Andy Mirzaian
SIROCCO
2004
13 years 10 months ago
Time Efficient Gossiping in Known Radio Networks
We study here the gossiping problem (all-to-all communication) in known radio networks, i.e., when all nodes are aware of the network topology. We start our presentation with a det...
Leszek Gasieniec, Igor Potapov, Qin Xin