Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Vertex Order Coloring in Fuzzy Graphs and its Applications

Vertex Order Coloring in Fuzzy Graphs and its Applications

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

Paperback

General Mathematics

ISBN10: 6209583806
ISBN13: 9786209583803
Publisher: LAP Lambert Academic Publishing
Published: Jan 23 2026
Pages: 108
Weight: 0.34
Height: 0.26 Width: 6.00 Depth: 9.00
Language: English
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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