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» On distinct distances from a vertex of a convex polygon
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COMPGEOM
2004
ACM
15 years 2 months 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»
14 years 7 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
79
Voted
MFCS
2007
Springer
15 years 3 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»
14 years 9 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»
14 years 11 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