The average degree for vertices distributed uniformly

Assignment Help Basic Computer Science
Reference no: EM13338943

6. [Random Geometric Graphs: Properties, Generation, Display]
(i) Given the number of vertices n and the target expectation d of the average degree for vertices distributed uniformly on the surface of the unit radius sphere, determine a formula for the threshold r such that a random geometric graph on a sphere Gs (n, r) should have average degree close to d.
(ii) Generate a Gs (n, r) for n = 2,000 with expected average degree d = 40. Using the plane sweep method count how many pairs are checked for the distance bound edge verification and compare with the number of all pairs.
(iii)Generate and display a sample Gs (n, r) restricted to a hemisphere with n = 500 in the hemisphere and expected average degree d = 12. Determine the maximum degree, average degree, and minimum degree of your sample and highlight a vertex and its incident edges for a vertex of minimum degree in your display.

Reference no: EM13338943

Increase tax rate on labour income

THE government is proposing to increase tax rate on labour income and ask you to report on the supply side effects of such action. Use graphs to so the effects on the supply

Post a link to a blog-twitter

Edward Tufte (Links to an external site.) is the grandfather of championing the high quality visual display of graphical information. Along with his rising influence, a lar

Compute the minimum length of the string required

The range of variables is (-100, 50), (0, 1), and (3, 7) and the accuracy required is 0.01, 0.00001, and 0.001 respectively. Compute the minimum length of the string require

Design a barrel shifter built from static gates

Design a barrel shifter built from static gates and clocked inverters. Draw a schematic for a cell and for a tiling of cells similar to the drawings for the pass-transistor

Formal structuring of data

In this research assessment, you will scrutinize, interpret, and evaluate secondary data. To accomplish this, you will select a research study using three credible sources a

Choosing a data integration type

In the Application Assignment in Unit 2, you created a database for your small retail store. Though business has been good, you decide to merge your company with another sma

Determining most effective it projects

Not sure what will suit their requirements in achieving better organization between branches by updating their information systems. What will you suggest they do to find out

The organization internal and customer data

ESL Inc. is a large company that has been using a series of spreadsheets, access databases, and manual records to keep track of the majority of the organization's internal a


Write a Review

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd