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<p>Graph colouring is a significant concept in mathematics and helps to solve many real-world uses, such as in traffic light optimization, map colouring, and scheduling. In social networks, users are represented as nodes (or vertices), and their relationships form connections (or edges). These connections can be either one-way or two-way, forming what is called a mixed graph. This paper focuses on the colouring of mixed fuzzy graphs, redefining the concepts of chromatic index (CI) and strong chromatic index (SCI) and presenting supporting theorems. It also discusses how these ideas can be applied to real-life systems like traffic signal control and supply chain management.</p>

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Applications of mixed fuzzy graph colouring in traffic signal optimization and supply chain management

  • 期刊论文

  • 发表日期：

    2025年8月8日

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  • Rupkumar Mahapatra,
  • Tofigh Allahviranloo,
  • Leo Mrsic,
  • Antonios Kalampakas,
  • Sovan Samanta

摘要

Graph colouring is a significant concept in mathematics and helps to solve many real-world uses, such as in traffic light optimization, map colouring, and scheduling. In social networks, users are represented as nodes (or vertices), and their relationships form connections (or edges). These connections can be either one-way or two-way, forming what is called a mixed graph. This paper focuses on the colouring of mixed fuzzy graphs, redefining the concepts of chromatic index (CI) and strong chromatic index (SCI) and presenting supporting theorems. It also discusses how these ideas can be applied to real-life systems like traffic signal control and supply chain management.