ILLIAC-IV question
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ILLIAC-IV question

 
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Posted: Wed Nov 09, 2005 9:15 am    Post subject: ILLIAC-IV question Reply with quote

I am stuck on this problem...can anyone help?

Answer the following questions with regard to a 2-d grid, connected as
in the ILLIAC-IV, with the same number of nodes as the hypercube;

a) What is the average distance between any two nodes?
b) For two nodes separated by the greatest distance, how many distinct
shortest-length paths exist between them? (If the number varies, give
the largest number that occurs)
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Eric Smith
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Posted: Thu Nov 10, 2005 1:15 am    Post subject: Re: ILLIAC-IV question Reply with quote

michael.esposito@gmail.com writes:
Quote:
I am stuck on this problem...can anyone help?

Answer the following questions with regard to a 2-d grid, connected as
in the ILLIAC-IV, with the same number of nodes as the hypercube;

a) What is the average distance between any two nodes?
b) For two nodes separated by the greatest distance, how many distinct
shortest-length paths exist between them? (If the number varies, give
the largest number that occurs)

If all else fails, you could easily write a program to compute the
answers to these problems. They are relatively simple combinatorial
problems.
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