Planar Graphs :Theory and Algorithms ( Volume 32 )

Publication subTitle :Theory and Algorithms

Publication series :Volume 32

Author: Nishizeki   T.;Chiba   N.  

Publisher: Elsevier Science‎

Publication year: 1988

E-ISBN: 9780080867748

P-ISBN(Paperback): 9780444702128

P-ISBN(Hardback):  9780444702128

Subject: O157.5 Graph

Language: ENG

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Description

Collected in this volume are most of the important theorems and algorithms currently known for planar graphs, together with constructive proofs for the theorems. Many of the algorithms are written in Pidgin PASCAL, and are the best-known ones; the complexities are linear or 0(nlogn).

The first two chapters provide the foundations of graph theoretic notions and algorithmic techniques. The remaining chapters discuss the topics of planarity testing, embedding, drawing, vertex- or edge-coloring, maximum independence set, subgraph listing, planar separator theorem, Hamiltonian cycles, and single- or multicommodity flows.

Suitable for a course on algorithms, graph theory, or planar graphs, the volume will also be useful for computer scientists and graph theorists at the research level. An extensive reference section is included.

Chapter

Front Cover

pp.:  1 – 4

Contents

pp.:  8 – 12

Preface

pp.:  12 – 14

Acknowledgments

pp.:  14 – 16

Chapter 1. Graph Theoretic Foundations

pp.:  16 – 38

Chapter 2. Algorithmic Foundations

pp.:  38 – 48

Chapter 3. Planarity Testing and Embedding

pp.:  48 – 80

Chapter 4. Drawing Planar Graphs

pp.:  80 – 98

Chapter 5. Vertex-Coloring

pp.:  98 – 114

Chapter 6. Edge-Coloring

pp.:  114 – 136

Chapter 7. Independent Vertex Sets

pp.:  136 – 152

Chapter 8. Listing Subgraphs

pp.:  152 – 164

Chapter 9. Planar Separator Theorem

pp.:  164 – 186

Chapter 10. Hamiltonian Cycles

pp.:  186 – 200

Chapter 11. Flows in Planar Graphs

pp.:  200 – 236

References

pp.:  236 – 242

Index

pp.:  242 – 248

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