Social Balance Theory

To get clearer, we will investigate interpersonal network in a group consists of 4
4!

members (figure 2). From the figure, the possible relations are -^^ = 6 relations (table

2). If the types of sentiment relation are 3 i.e. like (+), negative (-) and no-relation (0),
then the possible numbers of sentiment relations from the group are equal to 3⁶ or 729
relation patterns.

Figure 2

The network of sentiment relations between 4 members within a group

Table 2

The possible sentiment relations in a group with N=4

Meanwhile, the number of possible combinations of agents that form triad for that

seen in table 3.

An adjacency matrix of N x N (for example: table 4), is used to draw pattern of
relation (edges) formed between connected individuals (vertices), where Rij = Rji is
interconnectivity sign of i-individuals over j-individuals and vice versa, that can be
positive, negative, or no-relation, signed with +1 for positive relation, -1 for negative

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