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SODA
2007
ACM
106views Algorithms» more  SODA 2007»
15 years 1 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
GIS
2008
ACM
16 years 25 days ago
Applying hierarchical graphs to pedestrian indoor navigation
In this paper we propose to apply hierarchical graphs to indoor navigation. The intended purpose is to guide humans in large public buildings and assist them in wayfinding. We sta...
Edgar-Philipp Stoffel, Hans Jürgen Ohlbach, K...
PERCOM
2006
ACM
15 years 11 months ago
Online Routing in Quasi-Planar and Quasi-Polyhedral Graphs
We address the problem of online route discovery for a class of graphs that can be embedded either in two or in three dimensional space. In two dimensions we propose the class of ...
Evangelos Kranakis, Tim Mott, Ladislav Stacho
109
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SYNASC
2008
IEEE
284views Algorithms» more  SYNASC 2008»
15 years 6 months ago
Graph Rewriting in Computational Origami
We formalize paper fold (origami) by graph rewriting. Origami tion is abstractly described by a rewrite system (O, ), where set of abstract origami’s and is a binary relation on ...
Tetsuo Ida
85
Voted
ICRA
2006
IEEE
134views Robotics» more  ICRA 2006»
15 years 5 months ago
Hierarchical Map Building and Planning based on Graph Partitioning
— Mobile robot localization and navigation requires a map - the robot’s internal representation of the environment. A common problem is that path planning becomes very ineffic...
Zoran Zivkovic, Bram Bakker, Ben J. A. Kröse