Sombor index and degree-related properties of simplicial networks

作者：

Highlights：

• A growing simplicial network model is proposed to study higher-order interactions.

• Degree and clique distributions are analytically derived.

• Sombor index and its computation are compared with known bounds.

• Power-law and small-word effect of the network are observed.

• The scaling constant for Sombor index is determined for the model.

摘要

•A growing simplicial network model is proposed to study higher-order interactions.•Degree and clique distributions are analytically derived.•Sombor index and its computation are compared with known bounds.•Power-law and small-word effect of the network are observed.•The scaling constant for Sombor index is determined for the model.

论文关键词：Sombor index,Degree distribution,Clique distribution,Distance,Complex network,Random graph,Higher-order interaction

论文评审过程：Received 29 August 2021, Revised 14 December 2021, Accepted 16 December 2021, Available online 28 December 2021, Version of Record 28 December 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126881