Planar Graphs: Theory and Algorithms

Planar Graphs: Theory and Algorithms

by T Nishizeki, N Chiba
Planar Graphs: Theory and Algorithms

Planar Graphs: Theory and Algorithms

by T Nishizeki, N Chiba

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Overview


This book features most of the important theorems and algorithms related to planar graphs. Eminently suitable as a text, it also is useful for researchers and includes an extensive reference section.
The authors, who have researched planar graphs for many years, have structured the topics in a manner relevant to graph theorists and computer scientists. The first two chapters are introductory and provide the foundations of the graph theoretic notions and algorithmic techniques used throughout the text. Succeeding chapters discuss planarity testing and embedding, drawing planar graphs, vertex- and edge-coloring, independent vertex sets, and subgraph listing. The text concludes with explorations of planar separator theorem, Hamiltonian cycles, and single-commodity or multi-commodity flows.

Product Details

ISBN-13: 9780486466712
Publisher: Dover Publications
Publication date: 06/11/2008
Series: Dover Books on Mathematics Series
Pages: 240
Product dimensions: 5.20(w) x 8.40(h) x 0.50(d)

Table of Contents


Acknowledgments
Preface
1. Graph Theoretic Foundations
2. Algorithmic Foundations
3. Planarity Testing and Embedding
4. Drawing Planar Graphs
5. Vertex-Coloring
6. Edge-Coloring
7. Independent Vertex Sets
8. Listing Subgraphs
9. Planar Separator Theorem
10. Hamiltonian Cycles
11. Flows in Planar Graphs
References
Index
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