S08.hw06

# S08.hw06 - ECE 320 Networks and Systems Spring 20072008...

• Notes
• 2

This preview shows pages 1–2. Sign up to view the full content.

ECE 320 Networks and Systems Spring 2007–2008 Problem Set 6 Not due. 1. You are concerned with communication networks for sensors. You describe the system as a graph where the vertices are the sensors and the edges are the communication links. The communication links are unidirectional, so the graph is a directed graph. A sensor does not talk to itself via a communication link so the graph has no self loops. Because the network is composed of sensors, you are more concerned with communication of information from a sensor rather than to a sensor. Because you are concerned with the failure of communication links, you would like each sensor to have two links leading away from the sensor. Because you are concerned with cost, you would like each sensor to have exactly two links leading away from the sensor. (a) For the case of n = 9 sensors, please draw the graph that is the worst possible case in the sense of the maximum number of components given that each vertex has two edges leaving that vertex. This is clearly a very poor arrangement for a network. (b) For the case of n = 9 sensors, please draw a graph in which each vertex has two edges leaving that vertex and the removal of any edge leaves the graph strongly connected. This is at least a

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Spring '06
• FINE
• Probability theory, Randomness, Monte Carlo method, communication networks, communication links

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern