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» On Bounds for the k-Partitioning of Graphs
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INFOCOM
2009
IEEE
15 years 4 months ago
Greedy Routing with Bounded Stretch
—Greedy routing is a novel routing paradigm where messages are always forwarded to the neighbor that is closest to the destination. Our main result is a polynomial-time algorithm...
Roland Flury, Sriram V. Pemmaraju, Roger Wattenhof...
APVIS
2007
14 years 11 months ago
Straight-line grid drawings of planar graphs with linear area
A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segm...
Md. Rezaul Karim, Md. Saidur Rahman
CCCG
2004
14 years 11 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...
ICRA
2007
IEEE
138views Robotics» more  ICRA 2007»
15 years 4 months ago
Barrier Coverage for Variable Bounded-Range Line-of-Sight Guards
Abstract— In this paper, we formalize the problem of barrier coverage, that is, the problem of preventing undetected intrusion in a particular region using robot sensors. We solv...
Stephen Kloder, Seth Hutchinson
JGT
2010
158views more  JGT 2010»
14 years 8 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran