论文标题
简单网络中的阻力距离
Resistance Distances in Simplicial Networks
论文作者
论文摘要
众所周知，在许多真实网络（例如大脑网络和科学协作网络）中，节点之间存在高阶的非阶段关系，即一次之间的相互作用之间存在相互作用。这种简单结构可以通过简单的复合物来描述，并对涉及这种组相互作用的网络的拓扑和动力学特性具有重要影响。在本文中，我们研究了迭代增长的网络中具有高阶相互作用的分析性电阻距离，其特征在于由参数q控制的简单结构。我们得出了有关电阻距离的有趣数量的精确公式，包括Kirchhoff指数，添加度学位 - Kirchhoff指数，乘法度kirchhoff指数以及平均电阻距离，这些距离已在其他地方发现了应用。我们表明，平均电阻距离趋向于Q依赖性常数，这表明简单组织对通过平均电阻距离测得的结构鲁棒性的影响。
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.
