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Benjier H. Arriola, Shaleema A. Arriola, Bayah J. Amiruddin-Rajik, Sherlyn U. Sappayani,

Independence-Preserving Operations: Effects in Polynomial Representations.

Int. J. Math. Comput. Sci., 20, no. 1, (2025), 49-52

DOI:

https://doi.org/10.69793/ijmcs/01.2025/bayah

Keywords and phrases:

Neighborhood system, Independent neighborhood polynomial.

Abstract:

In this piece of work, we show that independent sets are preserved in the join operation of graphs. The adjacency property of the join of graphs guarantees a nice representation of the independent neighborhood polynomial of the join of graphs in terms of the independent neighborhood polynomials of graphs being considered.