Construction of Networking Game for Addressing Social Isolation in a Super-Aging Society - Innovative Management in Information and Production - page 347

Fig. 5 Two network invariants presented by Watts

Fig. 6 Comparison of three networks

C ν
k ν

=

C 2 ,

C

where C ν represents the actual number of branches in the network and k ν C 2
represents the total number of branches of all the pairs of joints excluding the joints
shown in Fig. 5 b that can be provided by the following:

k ν

C 2 =

) ,

k

ν

2 ( k ν − 2

where k ν .

We can express changes in complexity, as the randomness of the network
increases, in terms of the magnitude of these two key quantities ( L and C ), as shown
in Fig. 6 .

represents the total number of joints excluding the joint ν