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Artículo
A paradigmatic approach to investigate restricted hyper totient graphs
(AIMS Press, 2021)
Nowadays, the problem of finding families of graphs for which one may ensure the existence of a vertex-labeling and/or an edge-labeling based on a certain class of integers, constitutes a challenge for researchers in ...
Artículo
On Cocyclic Hadamard Matrices over Goethals-Seidel Loops
(MDPI, 2020)
About twenty-five years ago, Horadam and de Launey introduced the cocyclic development of designs, from which the notion of cocyclic Hadamard matrices developed over a group was readily derived. Much more recently, it ...
Artículo
When and where the Orlicz and Luxemburg (quasi-) norms are equivalent?
(Elsevier, 2020)
We study the equivalence between the Orlicz and Luxemburg (quasi-) norms in the context of the generalized Orlicz spaces associated to an N-function Φ and a (quasi-) Banach function space X over a positive finite measure ...
Artículo
Minimum gradation in greyscales of graphs
(Elsevier, 2023-05)
In this paper we present the notion of greyscale of a graph as a colouring of its vertices that uses colours from the real interval [0,1]. Any greyscale induces another colouring by assigning to each edge the non-negative ...
Artículo
Generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices
(Springer, 2023-08-23)
In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard matrices, and abelian splitting relative difference sets. We establish a broader network of equivalences ...
Artículo
Industrial Steel Heat Treating: Numerical Simulation of Induction Heating and Aquaquenching Cooling with Mechanical Effects
(MDPI, 2021)
This paper summarizes a mathematical model for the industrial heating and cooling processes of a steel workpiece corresponding to the steering rack of an automobile. The general purpose of the heat treatment process is ...
Artículo
On the isodiametric and isominwidth inequalities for planar bisections
(European Mathematical Society (EMS), 2021)
For a given planar convex body K, a bisection of K is a decomposition of K into two closed sets A,B so that A∩B is an injective continuous curve connecting exactly two boundary points of K. Consider a bisection of ...
Artículo
On partitions with k corners not containing the staircase with one more corner
(Cornell University, 2020)
We give three proofs of the following result conjectured by Carriegos, De Castro-Garc\'ıa and Muñoz Castañeda in their work on enumeration of control systems: when (k+12)≤n<(k+22), there are as many partitions of n with k ...
Artículo
Solidarity Behaviour for Optimizing the Waste Selective Collection
(International Information and Engineering Technology Association, 2020)
The problem of managing selective collection of waste using containers inside historic city centres can be performed in three sequential phases: first, locating containers along the streets; then, determining the minimum ...
Artículo
Hadamard Matrices with Cocyclic Core
(MDPI, 2021)
Since Horadam and de Launey introduced the cocyclic framework on combinatorial designs in the 1990s, it has revealed itself as a powerful technique for looking for (cocyclic) Hadamard matrices. Ten years later, the series ...