A New Notion of Effective Resistance for Directed Graphs-Part II: Computing Resistances
نویسندگان
چکیده
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.
منابع مشابه
A New Notion of Effective Resistance for Directed Graphs-Part I: Definition and Properties
The graphical notion of effective resistance has found wide-ranging applications in many areas of pure mathematics, applied mathematics and control theory. By the nature of its construction, effective resistance can only be computed in undirected graphs and yet in several areas of its application, directed graphs arise as naturally (or more naturally) than undirected ones. In part I of this wor...
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ورودعنوان ژورنال:
- IEEE Trans. Automat. Contr.
دوره 61 شماره
صفحات -
تاریخ انتشار 2016