Cycle Independent Neighborhood Polynomials of Cyclic Graphs

In this study, we introduce the idea of cycle independent neighborhood polynomials of graphs and establish results for some cyclic graphs. These polynomials represent the number of induced cycles in a graph, with the corresponding cardinality of a maximum independent set in its neighborhood system.

Authors

Publication Details

Journal
International journal of mathematics and computer science
Published
2025-01-01
DOI
https://doi.org/10.69793/ijmcs/03.2025/jeffrey
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Cycle Independent Neighborhood Polynomials of Cyclic Graphs

Rosalio G. Artes, Mary Joy F. Luga, Jeffrey Imer C. Salim, Al-anni Asgali
International journal of mathematics and computer science
Graph theory and applications
article

Cycle Independent Neighborhood Polynomials of Cyclic Graphs

Rosalio G. Artes, Mary Joy F. Luga, Jeffrey Imer C. Salim, Al-anni Asgali
article en

Abstract

In this study, we introduce the idea of cycle independent neighborhood polynomials of graphs and establish results for some cyclic graphs. These polynomials represent the number of induced cycles in a graph, with the corresponding cardinality of a maximum independent set in its neighborhood system.

International journal of mathematics and computer science
Science Education Institute, Department of Science and Technology, Republic of the Philippines
Openalex Percentile: Top 84%
Graph theory and applications
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Cycle Independent Neighborhood Polynomials of Cyclic Graphs — Rosalio G. Artes, Mary Joy F. Luga, et al. · International journal of mathematics and computer science (2025) | TGRS Research Map | TGRS