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» On distinct distances from a vertex of a convex polygon
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COMPGEOM
2004
ACM
14 years 23 days ago
An energy-driven approach to linkage unfolding
We present a new algorithm for unfolding planar polygonal linkages without self-intersection based on following the gradient flow of a “repulsive” energy function. This algor...
Jason H. Cantarella, Erik D. Demaine, Hayley N. Ib...
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 4 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
MFCS
2007
Springer
14 years 1 months ago
Exact Algorithms for L (2, 1)-Labeling of Graphs
The notion of distance constrained graph labelings, motivated by the Frequency Assignment Problem, reads as follows: A mapping from the vertex set of a graph G = (V, E) into an in...
Jan Kratochvíl, Dieter Kratsch, Mathieu Lie...
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 7 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
APPROX
2008
Springer
83views Algorithms» more  APPROX 2008»
13 years 9 months ago
Sampling Hypersurfaces through Diffusion
Abstract. We are interested in efficient algorithms for generating random samples from geometric objects such as Riemannian manifolds. As a step in this direction, we consider the ...
Hariharan Narayanan, Partha Niyogi