joint work with

Popularised by Barabási and Albert (1999) preferential attachment is a building principle of networks which aims to explain some of the emerging features of large real networks like power law degree distribution, robustness of the network under attack, the small world effect,... Preferential attachment means that Networks are built dynamically by adding nodes successively. When a new node is introduced, it is linked to existing nodes with a probability depending on their degree. The higher the degree of a node, the more likely it is to establish a link. Bollobás and Riordan defined a growing family of random graphs based on the preferential attachment paradigm and rigorously verified several of the conjectured emerging features. Peter Mörters Robustness of spatial networks Preferential attachment Popularised by Barabási and Albert (1999) preferential attachment is a building principle of networks which aims to explain some of the emerging features of large real networks like power law degree distribution, robustness of the network under attack, the small world effect,... Preferential attachment means that Networks are built dynamically by adding nodes successively. When a new node is introduced, it is linked to existing nodes with a probability depending on their degree. The higher the degree of a node, the more likely it is to establish a link. Bollobás and Riordan defined a growing family of random graphs based on the preferential attachment paradigm and rigorously verified several of the conjectured emerging features