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ON NEIGHBORHOOD POLYNOMIAL OF G \circ H

Year: 2025

Type: article

Abstract: A subset of is a neighborhood of if can be represented as the union of the induced subgraphs of the closed neighborhoods of each vertex in . Moreover, the neighborhood number denoted by is the minimum cardinality of the neighborhood set of . The neighborhood polynomial of a graph of order is defined as . In this paper, we obtain the neighborhood polynomial of .

Source: Advances and Applications in Discrete Mathematics

DOI: 10.17654/0974165825027

Authors: Brigette Ursula L. Pescueso, Eva D. Benacer

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4410131139

FWCI:

Cites: 5

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Related to: 10