Algebraic Representation of CTDS Over Uniform Network Interactions

In this paper, we characterize the connected total dominating sets (CTDS) in graphs resulting from uniform network interactions. Moreover, we establish the polynomial representation of the resulting graph with respect to its CTDS and neighborhood systems. We have shown that the polynomial can be expressed as the product of a binomial expansion and exponential form.

Authors

Publication Details

Journal
International journal of mathematics and computer science
Published
2025-01-01
DOI
https://doi.org/10.69793/ijmcs/03.2025/avtur
Primary Topic
Advanced Database Systems and Queries
Type
article
Field-Weighted Citation Impact
0.00
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article

Algebraic Representation of CTDS Over Uniform Network Interactions

Rosalio G. Artes, Cerina Villarta, Venerando Tenio, Milani Udal et al.
International journal of mathematics and computer science
Advanced Database Systems and Queries
article

Algebraic Representation of CTDS Over Uniform Network Interactions

Rosalio G. Artes, Cerina Villarta, Venerando Tenio, Milani Udal, Angelito Rendiza
article en

Abstract

In this paper, we characterize the connected total dominating sets (CTDS) in graphs resulting from uniform network interactions. Moreover, we establish the polynomial representation of the resulting graph with respect to its CTDS and neighborhood systems. We have shown that the polynomial can be expressed as the product of a binomial expansion and exponential form.

International journal of mathematics and computer science
Openalex Percentile: Top 83%
Advanced Database Systems and Queries
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Algebraic Representation of CTDS Over Uniform Network Interactions — Rosalio G. Artes, Cerina Villarta, et al. · International journal of mathematics and computer science (2025) | TGRS Research Map | TGRS