2 papers
math.PR2026
From second moments to pairwise negative correlation: applications to minimal and uniform spanning trees
Pengfei Tang, Zibo Zhang
We uncover a close connection between the second moment of the degree of a typical vertex in a random subgraph and the pairwise negative correlation (p-NC) property. On one hand, w…
math.PR2026
Pairwise Negative Correlation for Uniform Spanning Subgraphs of the Complete Graph
Pengfei Tang, Zibo Zhang
We investigate the pairwise negative correlation (p-NC) property for uniform probability measures on several families of spanning subgraphs of the complete graph . Motivated b…