46 citations · 128 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Barabasi-Albert trees are hypoenergetic
Octavio Arizmendi, Emilio Dominguez
We prove that graphs following the model of Barabasi-Albert tree with n vertices are hypoenergetic in the large n limit.
On a Berry-Esseen type limit theorem for Boolean convolution
Mauricio Salazar
We obtain a sharp estimate of the speed of convergence in the Boolean central limit theorem for measures of finite sixth moment. The main tool is a quantitative version of the Stie…
Energy of a graph and Randic index
Gerardo Arizmendi, Octavio Arizmendi
We prove that, for any graph , its graph energy is at least twice the Randic index. We show that equality holds if and only if is the union of complete bipartite graphs.