Cliques and a new measure of clustering: with application to U.S. domestic airlines

Steve Lawford (1) , Yll Mehmeti (1)

1 ENAC - Ecole Nationale de l'Aviation Civile

We propose a natural generalization of the well-known clustering coefficient for triples $C(3)$ to any number of nodes. We give analytic formulae for the special cases of three, four, and five nodes and show, using data on U.S. airline networks, that they have very fast runtime performance. We discuss theoretical properties and limitations of the new measure, and use it to provide insight into changes in network structure over time.

Domaines: Réseaux sociaux et d'information [cs.SI]; Physique et Société [physics.soc-ph]

Steve Lawford, Yll Mehmeti. Cliques and a new measure of clustering: with application to U.S. domestic airlines. Physica A: Statistical Mechanics and its Applications, 2020, 560 (125158), ⟨10.1016/j.physa.2020.125158⟩. ⟨hal-01821994⟩