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@article{184609,
        author = {Dr.Syeda Asma Kauser and Syed Sajjad Hussain and Azra Sultana and Syed Shahbaaz Hussain},
        title = {The minimum reduced sombor index of unitary cayley graph},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {4},
        pages = {2885-2888},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=184609},
        abstract = {Aims: The paper investigates the Reduced Sombor Index (RSO) for Unitary Cayley graphs. It aims to determine and characterize the Unitary Cayley graphs that attain the minimum RSO index among all Unitary Cayley graphs of a given order.
Study design: This is a theoretical mathematical study based on graph theory and topological indices. The study involves in defining and analyzing the Reduced Sombor Index by comparing RSO values across different Unitary Cayley graphs. To obtain the minimum RSO index of Unitary Cayley graphs different lemmas and theorems are proved.
Methodology: Unitary cayley graphs of different orders are analyzed. The study proves multiple lemmas that give different RSO values by demonstrating whether a specific structural modification increases or decreases the RSO value.
Results: The minimum RSO value in unitary cayley graphs is achieved. Several lemmas and theorem are established for unitary cayley graph of various orders.},
        keywords = {Reduced Sombor index; topological index; graph invariant; unitary cayley graph.},
        month = {September},
        }