1.

Record Nr.

UNINA9910299586803321

Autore

Mathew Sunil

Titolo

Fuzzy Graph Theory / / by Sunil Mathew, John N. Mordeson, Davender S. Malik

Pubbl/distr/stampa

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

ISBN

3-319-71407-4

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (XVII, 320 p. 171 illus.)

Collana

Studies in Fuzziness and Soft Computing, , 1434-9922 ; ; 363

Disciplina

511.5

Soggetti

Computational intelligence

Graph theory

Artificial intelligence

Game theory

Computational Intelligence

Graph Theory

Artificial Intelligence

Game Theory, Economics, Social and Behav. Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Fuzzy Sets and Relations -- Fuzzy Graphs -- Connectivity in Fuzzy Graphs -- More on Blocks in Fuzzy Graphs -- More on Connectivity and Distances -- Sequences, Saturation, Intervals and Gates in Fuzzy Graphs -- Interval-Valued Fuzzy Graphs -- Bipolar Fuzzy Graphs.

Sommario/riassunto

This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs. Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent



reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics.