4 papers
On some singular graphs with non-isomorphic associated evolution algebras
Paula Cadavid, Mary Luz Rodiño Montoya, Pablo M. Rodriguez +1
A connected graph can be associated with two distinct evolution algebras. In the first case, the structural matrix is the adjacency matrix of the graph itself. In the second case,…
Hilbert evolution algebras, weighted digraphs, and nilpotency
Paula Cadavid, Pablo M. Rodriguez, Sebastian J. Vidal
Hilbert evolution algebras generalize evolution algebras through a framework of Hilbert spaces. In this work we focus on infinite-dimensional Hilbert evolution algebras and their r…
On Hilbert evolution algebras of a graph
Sebastian J. Vidal, Paula Cadavid, Pablo M. Rodriguez
Evolution algebras are a special class of non-associative algebras exhibiting connections with different fields of Mathematics. Hilbert evolution algebras generalize the concept th…
Hilbert evolution algebras and its connection with discrete-time Markov chains
Sebastian J. Vidal, Paula Cadavid, Pablo M. Rodriguez
Evolution algebras are non-associative algebras. In this work we provide an extension of this class of algebras, in the context of Hilbert spaces, capable to deal with infinite-dim…