F. Aguiló-Gost

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math.CO2015

Optimal extensions and quotients of 2--Cayley Digraphs

F. Aguiló, A. Miralles, M. Zaragozá

Given a finite Abelian group $G$ and a generator subset $A \subset G$ of cardinality two, we consider the Cayley digraph $Γ =$ Cay $(G, A)$ . This digraph is called $2$ --Cayley digraph.…

math.CO2015

On the number of L-shapes in embedding dimension four

F. Aguiló-Gost, P. A. García-Sánchez, D. Llena

\textit{Minimum distance diagrams}, also known as \textit{\textsf{L}--shapes}, have been used to study some properties related to \textit{weighted Cayley digraphs} of \textit{degre…

math.CO2015

Abelian Cayley digraphs with asymptotically large order for any given degree

F. Aguiló, M. A. Fiol, S. Pérez

Abelian Cayley digraphs can be constructed by using a generalization to $Z^{n}$ of the concept of congruence in $Z$ . Here we use this approach to present a family of such digraphs, w…