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 ...

Abstract: 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 ...

Abstract: 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 ...

Building on the proposed model and the graph theory concepts, new algorithms are proposed and simulated to compute transistor timing analysis using RC model. Simulation results show the validity of ...

We prove that a properly edge-coloured complete graph Kn has a Hamilton circuit with edges of at least n - √2n distinct colours. This is proved with a method inspired by work on long partial ...