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» On the hyperbolicity constant in graphs
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COMPGEOM
2003
ACM
16 years 2 days 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 7 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 1 months 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 25 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