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Analysis Study Research Paper | Mathematics | Volume 15 Issue 1, January 2026 | Pages: 1052 - 1060 | India
Graph-Theoretic Analysis of Unilateral Electrical Networks Using Signal Flow Graphs and Mason's Gain Formula
Abstract: The transfer function of an electrical circuit can be derived using various analytical techniques. This study explores the use of Signal Flow Graphs (SFGs) and Mason's Gain Formula to evaluate the transmittance of a unilateral electrical network. By constructing the SFG representation of a given circuit and applying reduction rules alongside Mason's method, the paper demonstrates how both approaches yield the same transfer function, thereby validating their accuracy and complementarity. The findings underscore the effectiveness of graph-theoretic modeling in simplifying complex network analyses and highlight its utility in circuit design and optimization.
Keywords: Signal Flow Graph, Mason's Gain Formula, Unilateral Network, Graph Theory, Transfer Function
How to Cite?: B. C. Phukan, A. K. Baruah, T. Ali, "Graph-Theoretic Analysis of Unilateral Electrical Networks Using Signal Flow Graphs and Mason's Gain Formula", Volume 15 Issue 1, January 2026, International Journal of Science and Research (IJSR), Pages: 1052-1060, https://www.ijsr.net/getabstract.php?paperid=SR26114082634, DOI: https://dx.dx.doi.org/10.21275/SR26114082634