Diffusibility of a kind of quasi-star higher-order network

Real life networks heavily rely on higher-order interactions. This paper studies the diffusibility of novel quasi-star higher-order networks from two aspects. When the coupling strengths of the lower-order and higher-order coupling parts are less than 1, the diffusibility can be maximized by choosing the intermediate values of these coupling strengths. When they are far greater than 1, there exists an inferior limit of the diffusibility, and the lower-order coupling part has more impact on quasi-star network’s diffusibility. Additionally, the face with the middle order in the higher-order coupling part plays a more important role in enhancing the network’s diffusibility compared with other faces, and the diffusibility does not naturally increase with the order of face. These results give us some insights into the influence of higher-order structures and their faces.