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Modern Trends in Fuzzy Graph Theory

✍ Scribed by Madhumangal Pal, Sovan Samanta, Ganesh Ghorai


Publisher
Springer Singapore;Springer
Year
2020
Tongue
English
Leaves
323
Edition
1st ed.
Category
Library

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✦ 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.

✦ 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

✦ Subjects


Mathematics; Graph Theory


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