Title
Labeling Points with Weights
Abstract
Annotating maps, graphs, and diagrams with pieces of text is an important step in information visualization that is usually referred to as label placement. We dene nine label-placement models for label- ing points with axis-parallel rectangles given a weight for each point. There are two groups; xed-p osition models and slider models. We aim to maximize the weight sum of those points that receive a label. We rst compare our models by giving bounds for the ratios between the weights of maximum-weight labelings in dieren t models. Then we present algorithms for labeling n points with unit-height rectangles. We show how an O(n log n)-time factor-2 approximation algorithm and a PTAS for xed-p osition models can be extended to handle the weighted case. Our main contribution is the rst algorithm for weighted sliding labels. Its approximation factor is (2 + "), it runs in O(n2=") time and uses O(n=") space. We also investigate some special cases.
Year
DOI
Venue
2001
10.1007/3-540-45678-3_52
International Symposium on Algorithms and Computation
Keywords
Field
DocType
Computational geometry,GIS,Label placement,Sliding labels,Combinatorial optimization,Job scheduling,Throughput maximization,Maximum weight independent set
Graph theory,Discrete mathematics,Approximation algorithm,Data visualization,Combinatorics,Information visualization,Scheduling (computing),Computational geometry,Combinatorial optimization,Time complexity,Mathematics,Distributed computing
Conference
Volume
Issue
ISSN
38
2
0302-9743
ISBN
Citations 
PageRank 
3-540-42985-9
5
0.57
References 
Authors
13
4
Name
Order
Citations
PageRank
Sheung-Hung Poon123129.36
Chan-su Shin220626.76
Tycho Strijk320314.26
Alexander Wolff422222.66