3 papers
math.PR2025
Third Order Cumulants of products
Octavio Arizmendi, Daniel Munoz George, Saylé Sigarreta
We provide a formula for the third order free cumulants of products as entries. We apply this formula to find the third order free cumulants of various Random Matrix Ensambles incl…
math.CO2025
Bound for the energy of graphs in terms of degrees and leaves
Octavio Arizmendi, Samuel Gurrola-Viramontes
We provide a new upper bound for the energy of graphs in terms of degrees and number of leaves. We apply this formula to study the energy of Erdös-Rényi graphs and Barabasi-Albert…
math.SP2024
The change of vertex energy when joining trees
Octavio Arizmendi, Saylé Sigarreta
In this manuscript we study how the vertex energy of a tree is affected when joined with a bipartite graph. We find an alternating pattern with respect to the coalescence vertex: t…