Calculating Degree Centrality Using Data Frames – Python

Calculating Freeman’s degree centrality for each node…

…and for the graph.

All the information is contained in an external file graph.csv, which contains this

# graph.csv
"nodes","freq"
"n1",3
"n2",1
"n3",1
"n4",2
"n5",1

Where the “freq” column is the number of edges adjacent to the node.

To find node centrality

#!/usr/bin/python
# Node Degree Centrality

import pandas,numpy

# import file
print ":: Node Degree Centrality ::"
fileName=raw_input("Enter file name:\n")
df=pandas.read_csv(fileName)

# Calculations
gLength=len(df)-1.0
df["CD"]=(df["freq"]/gLength)

# Output
outputFile="data_"+fileName
df.to_csv(outputFile,index=False)

This script outputs the file data_graph.csv with the following information:

# data_graph.csv
nodes,freq,CD
n1,3,0.75
n2,1,0.25
n3,1,0.25
n4,2,0.5
n5,1,0.25

Where CD is the node’s degree centrality.

The graph’s degree centrality is measured with this

#!/usr/bin/python
# Graph Degree Centrality

import pandas,numpy 

# import file
print ":: Graph Degree Centrality ::"
fileName=raw_input("Enter file name:\n")
df=pandas.read_csv(fileName)

# calculations
maxVal=df["freq"].max()
df["f1"]=maxVal-df["freq"]
addFreq=sum(df["f1"])
dfLength=len(df)
deno=(dfLength-1.0)*(dfLength-2.0)
gDcent=addFreq/deno

# output
print "Graph CD =",gDcent

which returns the following

Graph CD = 0.583333333333