On Polynomials Derived from Topological Indices of Special Graphs
1 Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University Kano, Nigeria
2 Department of Mathematics, Faculty of Science, Air Force Institute of Technology, Kaduna, Nigeria
3 Department of Mathematics, Faculty of Science, Capital City University, Kano, Nigeria
* Corresponding author: aliyusuleiman804@gmail.com
2 Department of Mathematics, Faculty of Science, Air Force Institute of Technology, Kaduna, Nigeria
3 Department of Mathematics, Faculty of Science, Capital City University, Kano, Nigeria
* Corresponding author: aliyusuleiman804@gmail.com
Abstract
Polynomials associated with topological indices are defined
from graph-based indices with their coefficients and exponents derived from these values. This paper presents
formulae for such polynomials for cycle Cn, wheel Wn,
path Pn, complete graph Kn and complete bipartite graph
Km,n. It is further shown that a graph is a closed path
if and only if its first and second Zagreb indices coincide.
Keywords
Graph Polynomials
Topological Index
Cycle
Wheel
Path
Complete Graph
Complete bipartite graph
How to Cite
Kiri, A. I., Suleiman, A., & Tijjani, B. (2025). On Polynomials Derived from Topological Indices of Special Graphs. Nigerian Journal of Mathematics and Applications, 35(1), 29-42. https://doi.org/10.67897/njma.2025.7lydn2ax
A. I. Kiri, A. Suleiman, and B. Tijjani, "On Polynomials Derived from Topological Indices of Special Graphs," Nigerian Journal of Mathematics and Applications, vol. 35, no. 1, pp. 29-42, June 2025. doi: 10.67897/njma.2025.7lydn2ax
