Work

Independent Vertex Neighborhood Polynomials: Behavior of Graphs and Some Applications

Year: 2024

Type: article

Abstract: In this paper, we established the independent vertex neighborhood polynomials of complete graphs, paths, cycles, and complete bipartite graphs. In addition, we investigated these polynomials in terms of intersection points in the plane. Visual representations of graphs are presented to have closer properties of the polynomials comparing for different values of the order of the graph. Moreover, we model a social network activity as an application of this polynomial representation.

Source: Advances and Applications in Discrete Mathematics

DOI: 10.17654/0974165825003

Authors: Zuraida J. Bara, Regimar A. Rasid, Rosalio G. Artes Jr.

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4404507097

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