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» On the hyperbolicity constant in graphs
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COMPGEOM
2003
ACM
15 years 11 months ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
DAM
2011
15 years 1 months ago
Untangling planar graphs from a specified vertex position - Hard cases
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an ...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
STOC
2006
ACM
125views Algorithms» more  STOC 2006»
16 years 6 months ago
On earthmover distance, metric labeling, and 0-extension
We study the fundamental classification problems 0-Extension and Metric Labeling. A generalization of Multiway Cut, 0-Extension is closely related to partitioning problems in grap...
Howard J. Karloff, Subhash Khot, Aranyak Mehta, Yu...
APPROX
2009
Springer
131views Algorithms» more  APPROX 2009»
16 years 23 days ago
An Approximation Scheme for Terrain Guarding
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....
ICRA
2006
IEEE
86views Robotics» more  ICRA 2006»
16 years 6 days ago
The Statistical Dynamics of Programmed Self-assembly
Abstract— We describe how a graph grammar program for robotic self-assembly, together with measurements of kinetic rate data yield a Markov Process model of the dynamics of progr...
Nils Napp, Samuel Burden, Eric Klavins