title: Network growth models: A behavioural basis for attachment proportional to fitness.
abstract: Several growth models have been proposed in the literature for scale-free complex networks, with a range of fitness-based attachment models gaining prominence recently. However, the processes by which such fitness-based attachment behaviour can arise are less well understood, making it difficult to compare the relative merits of such models. This paper analyses an evolutionary mechanism that would give rise to a fitness-based attachment process. In particular, it is proven by analytical and numerical methods that in homogeneous networks, the minimisation of maximum exposure to node unfitness leads to attachment probabilities that are proportional to node fitness. This result is then extended to heterogeneous networks, with supply chain networks being used as an example.
authors.affiliation: University of Sydney, Sydney, NSW 2008, Australia.
authors.forename: Michael
authors.initials: M
authors.lastname: Bell
authors.affiliation: University of Sydney, Sydney, NSW 2008, Australia.
authors.forename: Supun
authors.initials: S
authors.lastname: Perera
authors.affiliation: University of Sydney, Sydney, NSW 2008, Australia.
authors.forename: Mahendrarajah
authors.initials: M
authors.lastname: Piraveenan
authors.affiliation: University of Sydney, Sydney, NSW 2008, Australia.
authors.forename: Michiel
authors.initials: M
authors.lastname: Bliemer
authors.affiliation: University of Sydney, Sydney, NSW 2008, Australia.
authors.forename: Tanya
authors.initials: T
authors.lastname: Latty
authors.affiliation: University of Sydney, Sydney, NSW 2008, Australia.
authors.forename: Chris
authors.initials: C
authors.lastname: Reid
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical