He did this by showing that there is no Eulerian circuit in a graph representing the city, where vertices represent landmasses and edges represent bridges between them. This established the first ...

The ability to solve large linear systems efficiently has been a key part of building a successful circuit simulator such as ones for power grid analysis. Partition-based iterative methods have been ...

Gene Representation: Genes are modeled as nodes in a directed graph, where each gene has a unique ID. Interactions between genes are represented as directed edges with associated types. Graph Theory ...

Depth optimization of a quantum circuit consisting of commuting operations is shown to be reducible to the vertex coloring problem in graph theory. The reduction immediately leads to an algorithm for ...

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 ...

A. Rjoub and A. B. Alajlouni, “Graph Modeling for Static Timing Analysis at Transistor Level in Nano-Scale CMOS Circuits,” IEEE Proceedings of the 16th Mediterranean Electrotechnical, Yasmine Hammamet ...

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.