Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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POWER DOMINATION MODEL AND ITS APPLICATIONS TO ELECTRICAL POWER NETWORKS

Authors

  • A. Uma Maheswari
  • J. Bala Samuvel

Keywords:

phase measurement units, power domination, graphs, domination, monitoring set

DOI:

https://doi.org/10.17654/0974165824013

Abstract

An interesting field of graph theory with a wide range of applications is the domination theory. One of the domination variants with a broad range of applications in electrical circuits is the power domination. The study of power domination in graphs greatly benefits from the placement of phase measurement units (PMUs) within the current circuit to examine the current flow. The primary goal of the study is to create a graphical model that determines the minimum number of PMUs needed to monitor the current flow in the designated areas. A theoretical model of graphs is developed, treating certain regions as graphical structures that correlate with $\gamma_P$ the power domination number, and the required number of PMUs.

Received: December 10, 2023
Accepted: February 2, 2024

References

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[Online]. Available: http://arxiv.org/abs/2205.05274.

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Published

2024-02-26

Issue

Vol. 41 No. 2 (2024)

Section

Articles

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How to Cite

POWER DOMINATION MODEL AND ITS APPLICATIONS TO ELECTRICAL POWER NETWORKS. (2024). Advances and Applications in Discrete Mathematics, 41(2), 179-201. https://doi.org/10.17654/0974165824013

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