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Chapter 5. Modelling asymmetric relationships
(a) Chung directed embedding
(b) New directed embedding
Figure 5.5: Network embeddings of Florentine families
One of the problems caused by the use of the “Google trick” is the folding
back of the arms on the left of the embedding which makes, for example, Valori
seem more important (central) than Cocco-Donati, when the opposite is the case.
Figure 5.5(b) shows the three-dimensional embedding using our new directed
approach. Edges between the in and out versions of each individual node are drawn
with hatched lines. More detail is evident within the oligarch cluster, and the spurious
placement of poorly connected nodes (for example, Valori) does not occur. The
embedding indicates that Medici tends to be the channel for net flow from oligarch
Chapter 5. Modelling asymmetric relationships
(a) Chung directed embedding
(b) New directed embedding
Figure 5.5: Network embeddings of Florentine families
One of the problems caused by the use of the “Google trick” is the folding
back of the arms on the left of the embedding which makes, for example, Valori
seem more important (central) than Cocco-Donati, when the opposite is the case.
Figure 5.5(b) shows the three-dimensional embedding using our new directed
approach. Edges between the in and out versions of each individual node are drawn
with hatched lines. More detail is evident within the oligarch cluster, and the spurious
placement of poorly connected nodes (for example, Valori) does not occur. The
embedding indicates that Medici tends to be the channel for net flow from oligarch