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Balanced and unbalanced triads.
Source publication
Signed networks are frequently observed in real life with additional sign information associated with each edge, yet such information has been largely ignored in existing network models. This paper develops a unified embedding model for signed networks to disentangle the intertwined balance structure and anomaly effect, which can greatly facilitate...
Contexts in source publication
Context 1
... balance is proposed in Davis (1967), which only requires the signed network to have no cycle with exactly one negative edge and implies multiple communities in the signed network (Easley et al., 2010). For illustration, Figure 1 The balance theory provides additional guidance for community detection in a signed network. More specifically, besides sharing similar connectivity pattern, nodes in the same community tend to be connected with positive edges whereas nodes in different communities tend to be connected with negative edges ( Tang et al., 2016). ...
Context 2
... other words, real-life signed networks can have triads like B in Figure 1, suggesting two friends of the same node can be enemies themselves. For instance, Israel and Turkey are two close allies of the United States in international politics, but the relationship between themselves has not been very constructive. ...
Context 3
... a direct consequence, triads A, C and D in Figure 1 are allowed under this embedding framework, whereas triad B is forbidden due to the triangle inequality. Besides weak balance, this Euclidean embedding framework also encourages nodes with similar connectivity patterns to be situated in a close neighborhood in the embedding space. ...
Context 4
... balance is proposed in Davis (1967), which only requires the signed network to have no cycle with exactly one negative edge and implies multiple communities in the signed network (Easley et al., 2010). For illustration, Figure 1 The balance theory provides additional guidance for community detection in a signed network. More specifically, besides sharing similar connectivity pattern, nodes in the same community tend to be connected with positive edges whereas nodes in different communities tend to be connected with negative edges ( Tang et al., 2016). ...
Context 5
... other words, real-life signed networks can have triads like B in Figure 1, suggesting two friends of the same node can be enemies themselves. For instance, Israel and Turkey are two close allies of the United States in international politics, but the relationship between themselves has not been very constructive. ...
Context 6
... a direct consequence, triads A, C and D in Figure 1 are allowed under this embedding framework, whereas triad B is forbidden due to the triangle inequality. Besides weak balance, this Euclidean embedding framework also encourages nodes with similar connectivity patterns to be situated in a close neighborhood in the embedding space. ...
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