Theorem: a graph has an Eulerian circuit if and only if every vertex has even degree, and all of the vertices of positive degree are in one connected component.

Hybrid DC circuit breakers are essentially different from DC–DC converters in the operation principle, device type, and circuit composition. Although Guo et al. (2022) used graph theory to analyze the ...

Instead of Circuit Theory, gain equations are extracted from a Signal Flow Graph (SFG) by Mason’s Gain Formula. Voltage Signal Analysis (VSA) creates a SFG from the Circuit Schematic.

In this paper, we develop what we refer to as economic circuit theory. Our purpose is to exploit the proven effectiveness of electrical circuit theory for the design, modeling, and analysis of complex ...

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Graph theory: Solution to '3 utilities problem' could lead to better computers Date: August 17, 2020 Source: University of Copenhagen Summary: Researchers thought that they were five years away ...

The main challenge here lies in devising a mathematically acceptable proof of this impossibility, which is where the foundations for what we today know as graph theory.