3 papers
math.PR2025
Thresholds and Fluctuations of Submultiplexes in Random Multiplex Networks
Bhaswar B. Bhattacharya, Sanchayan Bhowal, Karambir Das +2
In a multiplex network a common set of nodes is connected through different types of interactions, each represented as a separate graph (layer) within the network. In this paper, w…
math.PR2024
A degree-biased cutting process for random recursive trees
Laura Eslava, Sergio I. López, Marco L. Ortiz
We investigate a degree-biased cutting process on random recursive trees, where each vertex is deleted with probability proportional to its degree. We establish the splitting prope…
cond-mat.dis-nn2024
Limit theorems for Randic index for Erdős-Renyi graphs
Laura Eslava, Sayle Sigarreta, Arno Siri-Jegousse
We prove that the generalized Randic index over graphs following the Erdős-Renyi model, for both the sparse and dense regimes, is concentrated around its mean when the number of ve…