Construct and plot the network question a, d, e, f, g, h using R 1. Answer the f

Question

Construct and plot the network question a, d, e, f, g, h using R 1. Answer the following questions about this graph. a. What is the degree distribution for th graph? b. What is the density of this graph? c. Draw the 1.5 egocentric network of node G. d. Which node(s) have the highest degree? What is the degree? e. Which node(s) have the lowest degree? What is the degree? f. Which node has the highest closeness centrality? g. Which node has the highest degree centrality? h. What is the centralization (based on degree) of the graph?

Explanation / Answer

the degree distribution of the graph is as follows

1. {1,1,2,2,3,3,3,4} are the degrees

A- 1

B-3

C-2

D-3

E-4

F-1

G-3

H-2

2. the density of graph will be max possible no of edges

G= 2L/n(n-1)

2*9/8*7= 0.321

D. the node E have higest density of 4

E.the node A,F have lowest density of 1

F node E have higest closeness centrality

G.the higest degree centrality is of H

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