Drawing Graphs : Methods and Models - Michael Kaufmann

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Drawing Graphs

Methods and Models

By: Michael Kaufmann (Editor), Dorothea Wagner (Editor)

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Paperback | 18 April 2001

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332 Pages

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22.86 x 15.24 x 1.91

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Graph drawing comprises all aspects of visualizing structural relations between objects. The range of topics dealt with extends from graph theory, graph algorithms, geometry, and topology to visual languages, visual perception, and information visualization, and to computer-human interaction and graphics design. This monograph gives a systematic overview of graph drawing and introduces the reader gently to the state of the art in the area. The presentation concentrates on algorithmic aspects, with an emphasis on interesting visualization problems with elegant solutions. Much attention is paid to a uniform style of writing and presentation, consistent terminology, and complementary coverage of the relevant issues throughout the 10 chapters.
This tutorial is ideally suited as an introduction for newcomers to graph drawing. Ambitioned practitioners and researchers active in the area will find it a valuable source of reference and information.

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Graph Drawing and Its Applications	p. 1
Introduction	p. 1
Some Applications	p. 3
How to Draw a Graph	p. 17
Algorithmic Approaches to Graph Drawing	p. 20
Conclusion	p. 21
Drawing Planar Graphs	p. 23
Introduction	p. 23
What Is a Planar Graph?	p. 23
Planarity Testing	p. 25
How to Make a Graph Planar	p. 29
How to Make a Planar Graph 2-Connected Planar	p. 31
Convex Representations	p. 33
Methods Based on Canonical Orderings	p. 37
Drawing Trees, Series-Parallel Digraphs, and Lattices	p. 46
Trees	p. 46
Series-Parallel Digraphs	p. 52
Lattices	p. 63
Drawing on Physical Analogies	p. 71
.1	p. 71
.2	p. 72
.3	p. 78
.4	p. 82
Layered Drawings of Digraphs	p. 87
Introduction	p. 87
Cycle Removal	p. 89
Layer Assignment	p. 96
Crossing Reduction	p. 101
Horizontal Coordinates	p. 112
Positioning of Edges	p. 115
Related Approaches	p. 118
Orthogonal Graph Drawing	p. 121
Introduction	p. 121
Angles in Drawings	p. 122
Orthogonal Drawings and Their Encoding	p. 126
Heuristics	p. 132
Flow-Based Methods	p. 147
Compaction	p. 155
Improving Other Aesthetic Criteria	p. 167
Conclusions and Open Problems	p. 170
3D Graph Drawing	p. 172
Introduction	p. 172
Physical Simulation	p. 173
Layering	p. 174
3D Orthogonal Drawings of Graphs of Maximum Degree Six.176
3D Orthogonal Drawings of Graphs of Arbitrary Degree	p. 182
Viewpoints	p. 190
Drawing Clusters and Hierarchies	p. 193
Definitions	p. 193
Clustering Methods	p. 197
Planar Drawings of Hierarchical Clustered Graphs	p. 202
Hierarchical Representation of Compound Graphs	p. 210
Force-Directed Methods for Clustered Graphs	p. 216
Online Graph Drawing of Huge Graphs - A Case Study	p. 222
Summary	p. 227
Dynamic Graph Drawing	p. 228
Introduction	p. 228
Maintaining the Mental Map - What Does It Mean?	p. 229
Coping with the Dynamics	p. 236
Conclusion and Future Work	p. 245
Map Labeling with Application to Graph Drawing	p. 247
Formal Background	p. 248
Contents and Complexity Overview	p. 251
Point Feature Label Placement	p. 251
Line Feature Label Placement	p. 265
Graphical Feature Label Placement	p. 268
General Optimization Strategies Applied to Map Labeling	p. 272
Software Packages	p. 274
Bibliography	p. 283
Index	p. 307
Table of Contents provided by Publisher. All Rights Reserved.

Drawing Graphs

Methods and Models

At a Glance

Paperback

Shipping

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