Abstract
In Part I of this work we defined a generalization of the concept of effective resistance to directed graphs, and we explored some of the properties of this new definition. Here, we use the theory developed in Part I to compute effective resistances in some prototypical directed graphs. This exploration highlights cases where our notion of effective resistance for directed graphs behaves analogously to our experience from undirected graphs, as well as cases where it behaves in unexpected ways.
| Original language | English (US) |
|---|---|
| Article number | 7275126 |
| Pages (from-to) | 1737-1752 |
| Number of pages | 16 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 61 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2016 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering
Keywords
- Graph theory
- directed graphs
- effective resistance
- networked control systems
- networks