6 citations · 11 across the 4 of their papers we have counts for
8 papers
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…
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…
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.
Some extensions of quaternions and symmetries of simply connected space forms
Gerardo Arizmendi, Marco Antonio Pérez-de la Rosa
It is known that the groups of Euclidean rotations in dimension 3 (isometries of ), general Lorentz transformations in dimension 4 (Hyperbolic isometries in dimension 3), and…
A binary encoding of spinors and applications
Gerardo Arizmendi, Rafael Herrera
We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for…
A note on the geometry and topology of almost even-Clifford Hermitian manifolds
Gerardo Arizmendi, Ana Lucia Garcia-Pulido, Rafael Herrera
We compute the structure groups of almost even-Clifford Hermitian manifolds and determine when such groups lead to Spin structures.
Twistor Spaces of Riemannian Manifolds with Even Clifford Structures
Gerardo Arizmendi, Charles Hadfield
In this paper we introduce the twistor space of a Riemannian manifold with an even Clifford structure. This notion generalizes the twistor space of quaternion-Hermitian manifolds a…
Almost even-Clifford hermitian manifolds with large automorphism group
Gerardo Arizmendi, Rafael Herrera, Noemi Santana
We study manifolds endowed with an (almost) even Clifford (hermitian) structure and admitting a large automorphism group. We classify them when they are simply connected and the di…