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» Extremal Graph Theory for Metric Dimension and Diameter
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ENDM
2007
61views more  ENDM 2007»
13 years 5 months ago
Extremal Graph Theory for Metric Dimension and Diameter
M. Carmen Hernando, Mercè Mora, Ignacio M. ...
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 5 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
PODC
2004
ACM
13 years 11 months ago
Compact routing on euclidian metrics
We consider the problem of designing a compact communication network that supports efficient routing in an Euclidean plane. Our network design and routing scheme achieves 1+ stret...
Ittai Abraham, Dahlia Malkhi
SIAMDM
2008
90views more  SIAMDM 2008»
13 years 5 months ago
The Nine Morse Generic Tetrahedra
From computational geometry comes the notion of a Gabriel graph of a point set in the plane. The Gabriel graph consists of those edges connecting two points of the point set such t...
D. Siersma, M. van Manen
PODC
2006
ACM
13 years 11 months ago
Optimal-stretch name-independent compact routing in doubling metrics
We consider the problem of name-independent routing in doubling metrics. A doubling metric is a metric space whose doubling dimension is a constant, where the doubling dimension o...
Goran Konjevod, Andréa W. Richa, Donglin Xi...