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Artículo
Generalized Hadamard full propelinear codes
(Springer, 2021)
Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized ...
Artículo
Optimal Divisions of a Convex Body
(Ele-Math, 2023)
For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, min{F(C1),...,F(Cn)}), where F represents one of these classical geometric magnitudes: the ...
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
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
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
On partitions with K corners not containing the staircase with one more corner
(Elsevier, 2022)
We give three proofs of the following result conjectured by Carriegos, De Castro-García and Muñoz Castañeda in their work on enumeration of control systems: when ( k+1 2 ) ≤ n < ( k+2 2 ) , there are as many ...
Artículo
Cheeger sets for rotationally symmetric planar convex bodies
(Springer, 2022)
In this note we obtain some properties of the Cheeger set CΩ associated to a k-rotationally symmetric planar convex body Ω. More precisely, we prove that CΩ is also k-rotationally symmetric and that the boundary of CΩ ...
Artículo
On permanents of Sylvester Hadamard matrices
(Cornell University, 2013)
It is well-known that the evaluation of the permanent of an arbitrary (−1, 1)- matrix is a formidable problem. Ryser’s formula is one of the fastest known general algorithms for computing permanents. In this paper, Ryser’s ...
Artículo
Strong Euler well-composedness
(Springer, 2021)
In this paper, we define a new flavour of well-composedness, called strong Euler well composedness. In the general setting of regular cell complexes, a regular cell complex of dimension n is strongly Euler well-composed ...
Artículo
The maximal determinant of cocyclic (−1, 1)-matrices over D2t
(Elsevier, 2012)
Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices satisfy that and give the solution to the maximal determinant problem when or a multiple of 4. In this paper, we approach ...