1 citations · 1 across the 8 of their papers we have counts for
19 papers
Quantitative Estimates for Operator-Valued and Infinitesimal Boolean and Monotone Limit Theorems
Octavio Arizmendi, Marwa Banna, Pei-Lun Tseng
We provide Berry-Esseen bounds for sums of operator-valued Boolean and monotone independent variables, in terms of the first moments of the summands. Our bounds are on the level of…
Convergence Rate for The Number of Crossing in a Random Labelled Tree
Santiago Arenas-Velilla, Octavio Arizmendi
We consider the number of crossings in a random labelled tree with vertices in convex position. We give a new proof of the fact that this quantity is asymptotically Gaussian with m…
On the -Schatten Energy of Bipartite Graphs
Octavio Arizmendi, José Guerrero
We give a Coulson integral formula and a Coulson-Jacobs formula for the -Schatten energy. We use this formulas to compare the -Schatten energy of different trees by using a q…
Energy and Randic index of directed graphs
Gerardo Arizmendi, Octavio Arizmendi
The concept of Randic index has been extended recently for a digraph. We prove that , where is a digraph, and denotes the…
Graphs of Maximal Energy with Fixed Maximal Degree
Octavio Arizmendi, Jorge Fernandez Hidalgo
We give a bound for the graph energy with given maximal degree in terms of the second and fourth moments of a graph. In the case in which the graph is -regular we obtain the bou…
The graph energy game
Gerardo Arizmendi, Octavio Arizmendi
We study the graph energy from a cooperative game viewpoint. We introduce \emph{the graph energy game} and show various properties. In particular, we see that it is a superadditive…