BICLIQUE NEIGHBORHOOD POLYNOMIALS OF GRAPHS

In this paper, we introduce a new graph polynomial called the biclique neighborhood polynomial of a graph. This counts the number of bicliques in a graph with corresponding cardinality of the neighborhood system. We obtain results on the biclique neighborhood polynomials of some structured graphs. Received: July 7, 2024Accepted: August 20, 2024

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Publication Details

Journal
Advances and Applications in Discrete Mathematics
Published
2024-09-27
DOI
https://doi.org/10.17654/0974165824038
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

BICLIQUE NEIGHBORHOOD POLYNOMIALS OF GRAPHS

Regimar A. Rasid, Shiena Mae B. Lumpayao
Advances and Applications in Discrete Mathematics
Advanced Graph Theory Research
article

BICLIQUE NEIGHBORHOOD POLYNOMIALS OF GRAPHS

Regimar A. Rasid, Shiena Mae B. Lumpayao
article en

Abstract

In this paper, we introduce a new graph polynomial called the biclique neighborhood polynomial of a graph. This counts the number of bicliques in a graph with corresponding cardinality of the neighborhood system. We obtain results on the biclique neighborhood polynomials of some structured graphs. Received: July 7, 2024Accepted: August 20, 2024

Advances and Applications in Discrete MathematicsVol. 41(7)
Openalex Percentile: Top 80%
Advanced Graph Theory Research
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BICLIQUE NEIGHBORHOOD POLYNOMIALS OF GRAPHS — Regimar A. Rasid, Shiena Mae B. Lumpayao · Advances and Applications in Discrete Mathematics (2024) | TGRS Research Map | TGRS