MIT6_042JF10_rec10

# MIT6_042JF10_rec10 - 6.042/18.062J Mathematics for Computer...

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

6.042/18.062J Mathematics for Computer Science October 13, 2010 Tom Leighton and Marten van Dijk Problems for Recitation 10 Analysis of Two Networks Two communication networks are shown below. Complete the table of properties and be prepared to justify your answers. IN 0 IN 1 IN 2 IN 3 IN 4 OUT 0 OUT 1 OUT 2 OUT 3 OUT 4 IN IN IN IN OUT OUT OUT OUT 0 1 2 2 3 3 0 1 5-Path 4-Cycle network # switches switch size diameter max congestion 5-path 4-cycle Recall that the diameter of a communication network is the number of edges on the shortest path between the input and output that are farthest apart. The max congestion of a network is the largest number of packets that pass through any switch in the best solution to the hardest permutation routing problem. You might imagine that your enemy picks a permutation and then you pick the path taken by each packet. (Her goal is to cause congestion, and yours is to eliminate it.) Assuming you both do your best, the max congestion is then equal to the largest number of packets passing

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ 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