Название: Modern Trends in Fuzzy Graph Theory
Автор: Madhumangal Pal, Sovan Samanta, Ganesh Ghorai
Издательство: Springer
Год: 2020
Страниц: 323
Язык: английский
Формат: pdf (true), epub
Размер: 38.2 MB

This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs, applications of fuzzy graphs, and more.

It is very interesting that graph theory as well as FG theory are studied in two directions, viz. algebraic sense and algorithmic sense. To study in algebraic sense, the knowledge of basic algebra is sufficient, whereas to study in algorithmic sense, the knowledge on data structure, memory organization, etc. are required. Mainly, mathematicians approach in algebraic sense, while computer scientists in algorithmic sense.

Each chapter includes a number of key representative applications of the discussed concept. An authoritative, self-contained, and inspiring read on the theory and modern applications of fuzzy graphs, this book is of value to advanced undergraduate and graduate students of mathematics, engineering, and computer science, as well as researchers interested in new developments in fuzzy logic and applied mathematics.