Modern Trends in Fuzzy Graph Theory
β Scribed by Madhumangal Pal, Sovan Samanta, Ganesh Ghorai
- Publisher
- Springer Singapore;Springer
- Year
- 2020
- Tongue
- English
- Leaves
- 323
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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. 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.
β¦ Table of Contents
Front Matter ....Pages i-xvi
Fundamentals of Fuzzy Graphs (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 1-98
Fuzzy Planar Graphs (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 99-114
Fuzzy Cut Vertices and Fuzzy Trees (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 115-124
Fuzzy Competition Graphs (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 125-144
Fuzzy Threshold Graph (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 145-152
Fuzzy Tolerance Graphs (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 153-173
Coloring of Fuzzy Graph (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 175-193
m-Polar Fuzzy Graphs (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 195-224
Intuitionistic Fuzzy Graphs (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 225-274
Few Applications of Fuzzy Graphs (Madhumangal Pal, Sovan Samanta, Ganesh Ghorai)....Pages 275-305
Back Matter ....Pages 307-311
β¦ Subjects
Mathematics; Graph Theory
π SIMILAR VOLUMES
<p><p>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 Craineβs work on fuzzy interval graphs, fuzzy analogs of Marczewskiβs theorem, and the Gilmore and Hoffman
<p><p>This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Fu