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COMPGEOM
1992
ACM
13 years 11 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
EUROGRAPHICS
2010
Eurographics
14 years 4 months ago
Human Motion Synthesis with Optimization-based Graphs
Continuous constrained optimization is a powerful tool for synthesizing novel human motion segments that are short. Graph-based motion synthesis methods such as motion graphs and ...
Cheng Ren, Liming Zhao, Alla Safonova
ICALP
2003
Springer
14 years 21 days ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
14 years 29 days ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
MFCS
2000
Springer
13 years 11 months ago
Bilinear Functions and Trees over the (max, +) Semiring
Abstract. We consider the iterates of bilinear functions over the semiring (max, +). Equivalently, our object of study can be viewed as recognizable tree series over the semiring (...
Sabrina Mantaci, Vincent D. Blondel, Jean Mairesse