1.

Record Nr.

UNINA9910300119003321

Titolo

Classes of Directed Graphs / / edited by Jørgen Bang-Jensen, Gregory Gutin

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018

ISBN

3-319-71840-1

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (654 pages)

Collana

Springer Monographs in Mathematics, , 2196-9922

Disciplina

512.46

Soggetti

Graph theory

Computer science - Mathematics

Discrete mathematics

Algorithms

Graph Theory

Discrete Mathematics in Computer Science

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

1. Basic Terminology, Notation and Results (J. Bang-Jensen, G. Gutin) -- 2. Tournaments and Semicomplete Digraphs (J. Bang-Jensen, F. Havet) -- 3. Acyclic Digraphs (G. Gutin) -- 4. Euler Digraphs (M. Wahlström) -- 5. Planar digraphs (M. Pilipczuk, M. Pilipczuk) -- 6. Locally Semicomplete Digraphs and Generalizations (J. Bang-Jensen) -- 7. Semicomplete Multipartite Digraphs (A. Yeo) -- 8. Quasi-Transitive Digraphs and Their Extensions (H. Galeana-Sánchez, C. Hernández-Cruz) -- 9. Digraphs of Bounded Width (S. Kreutzer, O. Kwon) -- 10. Digraphs Products (R. Hammack) -- 11. Miscellaneous Digraph Classes (Y. Guo, M. Surmacs) -- 12. Lexicographic Orientation Algorithms (J. Huang) -- Indices.

Sommario/riassunto

This edited volume offers a detailed account on the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic. Outlining fundamental discoveries and new results obtained over recent years, this book provides a comprehensive overview of the latest research in the field. It covers core new results on each of the classes discussed, including



chapters on tournaments, planar digraphs, acyclic digraphs, Euler digraphs, graph products, directed width parameters, and algorithms. Detailed indices ease navigation while more than 120 open problems and conjectures ensure that readers are immersed in all aspects of the field. Classes of Directed Graphs provides a valuable reference for graduate students and researchers in computer science, mathematics and operations research. As digraphs are an important modelling tool in other areas of research, this book will also be a useful resource to researchers working in bioinformatics, chemoinformatics, sociology, physics, medicine, etc.