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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


Keywords and phrases:

Neighborhood system, Independent neighborhood polynomial.


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.