Introduction to Graph Convexity An Algorithmic Approach /
This book focuses on the computational aspects of graph convexity, with a particular emphasis on path convexity within graphs. It provides a thoughtful introduction to this emerging research field, which originated by adapting concepts from convex geometry to combinatorics and has experienced substa...
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| 主要な著者: | , , , |
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| 団体著者: | |
| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| 版: | 1st ed. 2025. |
| シリーズ: | SBMAC Collection on Applied and Computational Mathematics,
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-031-84128-6 |
| タグ: |
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| 要約: | This book focuses on the computational aspects of graph convexity, with a particular emphasis on path convexity within graphs. It provides a thoughtful introduction to this emerging research field, which originated by adapting concepts from convex geometry to combinatorics and has experienced substantial growth. The book starts with an introduction of fundamental convexity concepts and then proceeds to discuss convexity parameters. These parameters fall into two categories: one derived from abstract convexity studies and another motivated by computational complexity. Subsequent chapters explore geometric convexity within graphs, examining various graph classes such as interval graphs, proper interval graphs, cographs, chordal graphs, and strongly chordal graphs. The text concludes with a study of the computation of convexity parameters across different convexity types, including practical applications in areas like game theory. Compact and straightforward, this work serves as an ideal entry point for students and researchers interested in pursuing further research in the field of convexity. The English translation of this book, originally in Portuguese, was facilitated by artificial intelligence. The content was later revised by the authors for accuracy. |
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| 物理的記述: | 1 online resource (XV, 152 p. 47 illus.). 20 illus. in color. |
| ISBN: | 9783031841286 |
| ISSN: | 3059-4553 |
| DOI: | 10.1007/978-3-031-84128-6 |