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An Implementation of the Python Code for Computing the Independent Number of Genus Graphs

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  • Sana Anjum

    (Department of Mathematics, GC University, Faisalabad 38000, Pakistan)

  • Amal S. Alali

    (Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

The computation of the independent number is a fundamental problem in graph theory. It has many applications, including route planning, computer graphics, network analysis, computational biology, and network architecture. Particularly in computational biology, it provides a powerful mathematical tool for modeling tumor robustness and optimizing cancer treatment. In this article, an algorithmic method for computing the independent number of genus graphs is presented. Moreover, a Python (version 3.10.5) implementation has been provided for constructing genus graphs and computing their independent number.

Suggested Citation

  • Sana Anjum & Amal S. Alali, 2025. "An Implementation of the Python Code for Computing the Independent Number of Genus Graphs," Mathematics, MDPI, vol. 13(18), pages 1-13, September.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:18:p:2951-:d:1747967
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