Bipolar Triangular Neutrosophic Chromatic Numbers with the Application of traffic light system

S. Sudha1, B. Shoba2, A. Rajkumar2,*, Broumi Said4

1Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India

                   Department of Mathematics Mohamed Sathak AJ College of Engineering, Chennai-603103, India

                            2Department of Mathematics, St.Joseph’s  College of Engineering, Chennai-600 119, India

3Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India

                  4Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

Emails: sudha.aarpitha@gmail.com; shobabalasubramaniyam@gmail.com;  arajkumar@hindustanuniv.ac.in; broumisaid78@gmail.com 4

 

Abstract

For addressing issues in several domains, such as theoretical computer science, engineering, physics, combinatorics, and the medical sciences, graph theory is a crucial component of mathematics. Graph coloring is one of the new settings that is emerging in a neutrosophic chromatic number environment. In addition to introducing the idea of bipolar triangular neutrosophic chromatic graphs (BTNCG), this work also examines and demonstrates the algebraic assumption. The proposed concept has been applied in a traffic signal system to discover a new lane to avoid traffic in peak hours.

Keywords: Chromatic Number; Neutrosophic Chromatic Number; Bipolar Triangular Neutrosophic Chromatic Number; Neutrosophic Graph Coloring.