Figure 1
APS/Sitabhra Sinha

Figure 1: Social network of the characters appearing in the movie Love Actually (2003), with node size proportional to the total dialogue (a measure of screen time) assigned to a particular character. Links connect pairs of characters present in the same scene. The node at the top left corresponding to the character of David (the prime minister, played by Hugh Grant), which is one of the hubs of the network, has a much larger number of connections than the average degree for the network. The work of Del Genio et al. suggests that it is not possible for the number of such hubs to become comparable to the total number of nodes as a scale-free network grows to arbitrarily large sizes.