DOUBLY INDEPENDENT NEIGHBORHOOD POLYNOMIALS OF GRAPHS

In this paper, we introduce the concept of doubly independent neighborhood polynomial of a graph. This polynomial represents the number of independent sets in a graph with corresponding maximal independent set in the neighborhood system. For an increasing sequence of natural numbers, we establish the doubly independent neighborhood polynomial of

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Publication Details

Journal
Far East Journal of Mathematical Sciences (FJMS)
Published
2025-07-14
DOI
https://doi.org/10.17654/0972087125021
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

DOUBLY INDEPENDENT NEIGHBORHOOD POLYNOMIALS OF GRAPHS

Sisteta U. Kamdon, Al-Jayson U. Abubakar, Rosalio G. Artes, Jeffrey Imer C. Salim et al.
Far East Journal of Mathematical Sciences (FJMS)
Advanced Graph Theory Research
article

DOUBLY INDEPENDENT NEIGHBORHOOD POLYNOMIALS OF GRAPHS

Sisteta U. Kamdon, Al-Jayson U. Abubakar, Rosalio G. Artes, Jeffrey Imer C. Salim, Edwin B. Fabillar, Albert Quinones, Cesar A. Persial
article en

Abstract

In this paper, we introduce the concept of doubly independent neighborhood polynomial of a graph. This polynomial represents the number of independent sets in a graph with corresponding maximal independent set in the neighborhood system. For an increasing sequence of natural numbers, we establish the doubly independent neighborhood polynomial of

Far East Journal of Mathematical Sciences (FJMS)Vol. 142(3)
Science Education Institute, Department of Science and Technology, Republic of the Philippines
Openalex Percentile: Top 82%
Advanced Graph Theory Research
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