The Electrical Engineering Handbook

2

Circuit Analysis: A Graph-Theoretic Foundation

Krishnaiyan Thulasiraman,     School of Computer Science, University of Oklahoma, Norman, Oklahoma, USA

M.N.S. Swamy,     Department of Electrical and Computer Engineering, Concordia University, Montreal, Quebec, Canada

2.1. Introduction

2.2. Basic Concepts and Results

2.2.1. Graphs

2.2.2. Basic Theorems

2.2.3. Cuts, Circuits, and Orthogonality

2.2.4. Incidence, Circuit, and Cut Matrices of a Graph

2.3. Graphs and Electrical Networks

2.3.1. Loop and Cutset Transformations

2.4. Loop and Cutset Systems of Equations

2.4.1. Loop Method of Network Analysis

2.4.2. Cutset Method of Network Analysis

2.5. Summary

2.1 Introduction

The theory of graphs has played a fundamental role in ...