  It is well known that in many real networks, such as brain networks and
scientific collaboration networks, there exist higher-order nonpairwise
relations among nodes, i.e., interactions between among than two nodes at a
time. This simplicial structure can be described by simplicial complexes and
has an important effect on topological and dynamical properties of networks
involving such group interactions. In this paper, we study analytically
resistance distances in iteratively growing networks with higher-order
interactions characterized by the simplicial structure that is controlled by a
parameter q. We derive exact formulas for interesting quantities about
resistance distances, including Kirchhoff index, additive degree-Kirchhoff
index, multiplicative degree-Kirchhoff index, as well as average resistance
distance, which have found applications in various areas elsewhere. We show
that the average resistance distance tends to a q-dependent constant,
indicating the impact of simplicial organization on the structural robustness
measured by average resistance distance.
