Work

Algebraic Representation of CTDS Over Uniform Network Interactions

Year: 2025

Type: article

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.

Source: International journal of mathematics and computer science

DOI: 10.69793/ijmcs/03.2025/avtur

Authors: Rosalio Artes Jr., Cerina Villarta, Venerando Tenio, Milani Udal, Angelito Rendiza

Institutions: Mindanao State University - Tawi-Tawi College of Technology and Oceanography, Central Mindanao University, Mindanao State University-Buug

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4411772554

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