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A single assignment of numbers for square divisor cordial and cube divisor cordial labelings on the generalized Petersen graphs GP (n,3)

Author

Listed:
  • Fredrick Ignatius

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014 Tamil Nadu, India)

  • S. Kaspar

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014 Tamil Nadu, India)

Abstract

In this paper, a work on the generalized Petersen graph GP (n,3) is done, proving Generalized Petersen graph GP (n,3) to be both Square Divisor Cordial Graphs and Cube Divisor Cordial Graphs by a single assignment of numbers on the same graph. Few conditions are provided to label the graphs in single assignment to prove two different labelings. A rule is developed to label the graphs and the results obtained are tabulated by actual verification for n=4 to n=30 but the rule holds good for all n≥ 4. Further, a few illustrations are provided to justify the rule given to label the graphs in a single assignment.

Suggested Citation

  • Fredrick Ignatius & S. Kaspar, 2025. "A single assignment of numbers for square divisor cordial and cube divisor cordial labelings on the generalized Petersen graphs GP (n,3)," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 36(08), pages 1-18, August.
    • Handle: RePEc:wsi:ijmpcx:v:36:y:2025:i:08:n:s0129183124410018
    DOI: 10.1142/S0129183124410018
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