# Suppose a network has a degree distribution that follows the exponential form p_k = Ce^-lambda k,…

Suppose a network has a degree distribution that follows the exponential form p_k = Ce^-lambda k, where C and A are constants. Find C as a function of lambda. Calculate the fraction P of vertices that have degrees greater than or equal to k. Calculate the fraction W of ends of edges that are attached to vertices of degree greater than or equal to k. Hence show that for this degree distribution, the Lorenz curve-the equivalent of Eq. (8.23) in Networks-is given by W = P +1-e^lambda/lambda p ln P. What is the equivalent of the “80-20” rule for such a network with lambda = 1? That is, what fraction of the “richest” nodes in the network have 80% of the “wealth”? Show that the value of W is greater than unity for some values of P in the range 0 lessthanorequalto P lessthanorequalto 1. What is the meaning of these “unphysical” values?

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.