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Eva M. Machutes, Shaleema A. Arriola, Regimar A. Rasid, Bayah J. Amiruddin-Rajik,
Polynomial Representation of Biclique Neighborhood in Graphs.
Int. J. Math. Comput. Sci., 20, no. 1, (2025), 157-160

DOI:

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

Keywords and phrases:

Convex set, convex neighborhood polynomial.

Abstract:

In this piece of work, we introduce the idea of biclique neighborhood polynomial of graphs. This polynomial provides a representation of graph structure by considering the number of bicliques of specified cardinality with the corresponding neighborhood systems cardinality. Moreover, we generate results on the polynomial representations of biclique neighborhood of some graph structures.