Reference no: EM131403289
(Download dataset ca-GrQe.txt.gz from https://snap.stanford.eduidata/ca-GrQc.txt.gz.) The Stanford Large Network Dataset Collection stores the General Relativity and Quantum Cosmology collaboration network dataset with "scientific collaborations between authors papers submitted to General Relativity and Quantum Cosmology category" (SNAP 2012; ca-GrQc 2012). In this undirected graph, if authors i and j coauthored a paper, an edge exists between nodes i and j. For each of the following parts, calculate the metric, answer the indicated questions, and discuss the results and meaning of the metric in the context of the problem.
a. For this dataset, graph the degree distribution and determine a function that fits this distribution. Is the network scale free? If so, determine the largest hubs.
b. Find a minimal dominating set.
c. Calculate the mean clustering coefficient.
d. Determine the numbers of nodes and edges in the largest connected component.
e. Find the mean shortest-path length and the diameter (see Module 13.5, "The Next Flu Pandemic-Old Enemy, New Identity, Project 2). Does this network exhibit the small-world property?
|
How many cities have a population less than 250000
: How many cities have a population of at least 25,000 but less than 500,000?- How many cities have a population less than 250,000?
|
|
Evaluation of the results
: "A summary of results, an evaluation of the results, a discussion of the sources of error, and a discussion of how well the objectives of the lab were met. (Did you find what you were looking for? Even if your results are excellent, what possible ..
|
|
Find the discounted payback period for the given project
: Finance: Payback period and Discounted Payback period- Find the Discounted Payback period for the following project. The Discount rate is 9%
|
|
Mountain trail that runs parallel to a road
: A motorcyclist is riding along a mountain trail that runs parallel to a road below. In fact the trail is 6 meters above the road. The motorcyclist then notices a flat bed truck directly below moving at the same speed and decides to drive off the t..
|
|
Calculate the mean clustering coefficient
: For this dataset, graph the degree distribution and determine a function that fits this distribution. Is the network scale free? If so, determine the largest hubs.
|
|
Period of a near moon satellite
: The period of oscillation of a near-Earth satellite (neglecting atmospheric effects) is 84.3 min. What is the period of a near Moon satellite?
|
|
What is the net present value of the project
: A project has an initial outlay of $1,816. It has a single payoff at the end of year 8 of $7,178. What is the net present value (NPV) of the project if the company's cost of capital is 13.59 percent?
|
|
Develop a function with parameters for a size n
: Run this simulation a number of times, say 100 to 1000 times, to obtain an average value for MCF, and compare the results with that of the realistic social network.
|
|
Determine the velocity of the football
: A football is kicked with an initial speed of 10.2 m/s at an angle of 40.00 above the horizontal. It lands on the ground 2.12 s later. Determine the velocity of the football at the pinnacle of its trajectory.
|