國立虎尾科技大學 |

Introduction to graph convexity = an algorithmic approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to graph convexity/ by Júlio Araújo ... [et al.].
其他題名:	an algorithmic approach /
其他作者:	Araújo, Júlio.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xv, 152 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Graph theory. -
電子資源:	https://doi.org/10.1007/978-3-031-84128-6
ISBN:	9783031841286

Introduction to graph convexity = an algorithmic approach /
introdução à convexidade em grafos.English

Introduction to graph convexityan algorithmic approach /[electronic resource] :by Júlio Araújo ... [et al.]. - Cham :Springer Nature Switzerland :2025. - xv, 152 p. :ill. (some col.), digital ;24 cm. - SBMAC collection on applied and computational mathematics. - SBMAC collection on applied and computational mathematics..

Part I Fundamentals of Convexity in Graphs -- Basic Concepts of Convexity -- Convexity in Graphs -- Graph Convexity Parameters -- Convex Geometries in Graphs -- Part II Main Convexities and Applications -- P3 and P3* Convexities -- Geodesic Convexity -- Other Convexities -- Convexity in Oriental Graphs -- Applications in Graph Convexities.

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.

ISBN: 9783031841286

Standard No.: 10.1007/978-3-031-84128-6doiSubjects--Topical Terms:

527884
Graph theory.

LC Class. No.: QA166

Dewey Class. No.: 511.5

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520 $a 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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