Algorithmic Graph Theory and Perfect Graphs, first published in 1980, has become the classic introduction to the field. This new Annals edition continues to convey the message that intersection graph models are a necessary and important tool for solving real-world problems. It remains a stepping stone from which the reader may embark on one of many fascinating research trails. The past twenty years have been an amazingly fruitful period of research in algorithmic graph theory and structured families of graphs. Especially important have been the theory and applications of new intersection graph models such as generalizations of permutation graphs and interval graphs. These have lead to new families of perfect graphs and many algorithmic results. These are surveyed in the new Epilogue chapter in this second edition. · New edition of the "Classic" book on the topic · Wonderful introduction to a rich research area · Leading author in the field of algorithmic graph theory · Beautifully written for the new mathematician or computer scientist · Comprehensive treatment
Author(s): Martin Charles Golumbic (Eds.)
Series: Annals of Discrete Mathematics 57
Edition: 2
Publisher: North Holland
Year: 2004
Language: English
Pages: 1-314
Content:
Foreword 2004: The annals edition
Pages xiii-xiv
Martin Charles Golumbic
Foreword
Pages xv-xvi
Claude Berge
Preface
Pages xvii-xviii
Martin Charles Golumbic
Acknowledgments
Page xix
List of symbols
Pages xxi-xxii
Corrections and errata to: Algorithmic graph theory and perfect graphs, the original 1980 edition
Pages xxiii-xxvi
Chapter 1 Graph theoretic foundations Original Research Article
Pages 1-21
Chapter 2 The design of efficient algorithms Original Research Article
Pages 22-50
Chapter 3 Perfect graphs Original Research Article
Pages 51-80
Chapter 4 Triangulated graphs Original Research Article
Pages 81-104
Chapter 5 Comparability graphs Original Research Article
Pages 105-148
Chapter 6 Split graphs Original Research Article
Pages 149-156
Chapter 7 Permutation graphs Original Research Article
Pages 157-170
Chapter 8 Interval graphs Original Research Article
Pages 171-202
Chapter 9 Superperfect graphs Original Research Article
Pages 203-218
Chapter 10 Threshold graphs Original Research Article
Pages 219-234
Chapter 11 Not so perfect graphs Original Research Article
Pages 235-253
Chapter 12 Perfect gaussian elimination Original Research Article
Pages 254-267
Appendix
Pages 269-275
Epilogue 2004 Original Research Article
Pages 277-305
Index
Pages 307-314