4 papers
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…
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…
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…
New recursive constructions of amoebas and their balancing number
Laura Eslava, Adriana Hansberg, Tonatiuh Matos Wiederhold +1
The definition of amoeba graphs is based on iterative \emph{feasible edge-replacements}, where, at each step, an edge from the graph is removed and placed in an available spot in a…