On the Independent Neighborhood Polynomial of the Rooted Product of Two Trees
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i1.4220Keywords:
Rooted Graph, Rooted Product of Graphs, Independent Neighborhood PolynomialAbstract
Let G be a connected graph. We say that a given graph is a tree if every pair of
vertices is connected by a unique path. The rooted product of two trees is relevant to tree, as the obtained product is another tree. In this paper, we establish the independent neighborhood sets of a tree and obtain its corresponding independent neighborhood polynomial. Furthermore, the independent neighborhood polynomial of the rooted product of two trees were determine using their independent neighborhood sets.
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