I have 10 nodes in my network. I calculated the size of the largest component in my network, using the below formula:
Size of the largest component (when node 1 is deleted) = Number of nodes in the largest component, after node 1 is deleted/ Number of nodes in the largest component
Size of largest component, node 1 is deleted = 0.53
Size of largest component, node 2 is deleted = 0.85
Size of largest component, node 3 is deleted = 0.88
Size of largest component, node 4 is deleted = 0.94
Size of largest component, node 5 is deleted = 0.94
Size of largest component, node 6 is deleted = 0.94
Size of largest component, node 7 is deleted = 0.94
When I want to calculate robustness, do I have to average of all the above values?
Formula given to calculate robustness: Unique Robustness Measure(?-index) , defined as? =1 /? ∑? (?) (limit Q=1 to N)
where ? is the number of nodes in the network and ?(?)is the fraction of nodes in the largest connected componentafter removing ? = ?? nodes using a given strategy. Thevariable ? is a current fraction of deleted nodes against thetotal initial number ? of network nodes. The ?-index thusencompasses the whole attack process, not just one momentof damage at a current fraction q
Please let me know, if I am calculating robustness in the right way
Thank you
Size of the largest component (when node 1 is deleted) = Number of nodes in the largest component, after node 1 is deleted/ Number of nodes in the largest component
Size of largest component, node 1 is deleted = 0.53
Size of largest component, node 2 is deleted = 0.85
Size of largest component, node 3 is deleted = 0.88
Size of largest component, node 4 is deleted = 0.94
Size of largest component, node 5 is deleted = 0.94
Size of largest component, node 6 is deleted = 0.94
Size of largest component, node 7 is deleted = 0.94
When I want to calculate robustness, do I have to average of all the above values?
Formula given to calculate robustness: Unique Robustness Measure(?-index) , defined as? =1 /? ∑? (?) (limit Q=1 to N)
where ? is the number of nodes in the network and ?(?)is the fraction of nodes in the largest connected componentafter removing ? = ?? nodes using a given strategy. Thevariable ? is a current fraction of deleted nodes against thetotal initial number ? of network nodes. The ?-index thusencompasses the whole attack process, not just one momentof damage at a current fraction q
Please let me know, if I am calculating robustness in the right way
Thank you