From the 1 of 7 linked papers with an AI index.
7 papers
Power-law and log-periodic degree tails for a family of probability generating function equations arising in evolving networks
Qunqiang Feng, Xiao-Ming Fu, Tianyang Sun
The paper analyzes a probability generating function equation that describes the limiting degree distribution of certain evolving network models, proving a unique solution with a p…
Subgraph counting estimation for the -model in sparse networks
Qunqiang Feng, Jiashun Jin, Yaru Tian +1
The -model is popular for characterizing the commonly observed degree heterogeneity phenomenon in real-world networks. In this study, we develop a cycle counting approach to es…
Limit Laws for the Distance to Fréchet Means of Random Graphs
Qunqiang Feng, Zixin Tang, Zhishui Hu
This paper investigates the Fréchet mean of the ErdÅs-Rényi random graph with respect to the Frobenius distance on graph Laplacians, a metric that captures global stru…
Triple-dyad ratio estimation for the model
Qunqiang Feng, Yaru Tian, Ting Yan
Although the model was proposed 40 years ago, little progress has been made to address asymptotic theories in this model, that is, neither consistency of the maximum likeliho…
Optimal estimators and tests for reciprocal effects
Qunqiang Feng, Jiashun Jin, Yaru Tian +1
The model plays a fundamental role in modeling directed networks, where the reciprocal effect parameter is of special interest in practice. However, due to nonlinear fac…
The generalized Zagreb index for non-plane and plane recursive trees
Qunqiang Feng, Michael Fuchs, Tsan-Cheng Yu
The Zagreb index, which is defined as the sum of squares of degrees of the nodes of a tree, was studied in previous works by martingale techniques for random non-plane recursive tr…