Items related to Vertex Order Coloring in Fuzzy Graphs and its Applications

Vertex Order Coloring in Fuzzy Graphs and its Applications - Softcover

Meenakshi, A; Dhanushiya, S; Shivangi Mishra, J

 
9786209583803: Vertex Order Coloring in Fuzzy Graphs and its Applications
Softcover
ISBN 10: 6209583806 ISBN 13: 9786209583803
Publisher: LAP Lambert Academic Publishing, 2026

Synopsis

Data analytics and networking are inherently interdependent, as effective data collection, transmission, and processing rely on robust and optimally configured network infrastructures. Real-world networks are often characterized by uncertainty, vagueness, and dynamic constraints, necessitating advanced mathematical tools beyond classical graph-theoretic approaches. This book presents a comprehensive framework for optimal network analysis using vertex order coloring under fuzzy, intuitionistic fuzzy, and neutrosophic graph environments. Novel methodologies based on fuzzy vertex order coloring (FVOC), intuitionistic fuzzy vertex order coloring (IFVOC), and neutrosophic vertex order coloring are developed to identify and classify α-strong, β-strong, and γ-strong vertices, enabling systematic analysis and comparison of network robustness and efficiency. Various graph product operations, including co-normal, modular, residue, maximal, and related products are rigorously analyzed to determine optimal network configurations using key performance metrics such as chromatic number, distribution and weight of strong vertices, and minimum spanning tree weight.

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Publisher
LAP Lambert Academic Publishing
Publication date
2026
Language
English
ISBN 10 
6209583806
ISBN 13 
9786209583803
Binding
Paperback
Number of pages
108