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ICALP
2003
Springer
14 years 2 months ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
IM
2008
13 years 9 months ago
The Structure of Geographical Threshold Graphs
We analyze the structure of random graphs generated by the geographical threshold model. The model is a generalization of random geometric graphs. Nodes are distributed in space, a...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus
IPPS
1999
IEEE
14 years 1 months ago
Sparse Hypercube: A Minimal k-Line Broadcast Graph
This paper proposes a method for reducing the maximum degree of vertices in graphs that maintain optimal broadcast time when a vertex can call a vertex at distance at most k durin...
Satoshi Fujita, Arthur M. Farley
ALGORITHMICA
2011
13 years 4 months ago
On Bounded Leg Shortest Paths Problems
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
Liam Roditty, Michael Segal
IPPS
1998
IEEE
14 years 1 months ago
Fault Tolerant Mobility Planning for Rapidly Deployable Wireless Networks
Rapidly deployable wireless networks consist of mobile base stations and less powerful mobile hosts. The mobile base stations have to maintain wireless connectivity while on the mo...
Charles Shields Jr., Vikas Jain, Simeon C. Ntafos,...