Name Falcón Ganfornina, Raúl Manuel Department Matemática Aplicada I Knowledge area Matemática Aplicada Professional category Profesor Titular de Universidad E-mail Request
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Article

#### Optimal Shadow Allocations of Secret Sharing Schemes Arisen from the Dynamic Coloring of Extended Neighborhood Coronas

(MDPI, 2022-01-01)
Every t-dynamic proper n-coloring of a graph G describes a shadow allocation of any (n, t + 1)-threshold secret sharing ...
Article

#### Recognition and Analysis of Image Patterns Based on Latin Squares by Means of Computational Algebraic Geometry

(MDPI, 2021-03-21)
With the particular interest of being implemented in cryptography, the recognition and analysis of image patterns based ...
Article

#### Pseudococyclic Partial Hadamard Matrices over Latin Rectangles

(MDPI [Commercial Publisher], 2021-01-06)
The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle ...
Presentation

#### New advances concerning critical sets based on Latin square autotopisms

(Kongunadu Arts and Science College, 2021-01-01)
Article

#### On the r-dynamic coloring of the direct product of a path with either a complete graph or a wheel graph

(AIMS Press, 2021-01-01)
In this paper, it is explicitly determined the r-dynamic chromatic number of the direct product of any given path with ...
Article

#### A paradigmatic approach to investigate restricted hyper totient graphs

(AIMS Press, 2021-01-01)
Nowadays, the problem of finding families of graphs for which one may ensure the existence of a vertex-labeling and/or an ...
Article

#### On the r-dynamic coloring of some fan graph families

(Ovidius University Constanta, 2021-01-01)
In this paper, we determine the r-dynamic chromatic number of the fan graph Fm,n and determine sharp bounds of this graph ...
Article

#### A historical perspective of Tian’s evolution algebras

(Elsevier, 2021-01-01)
Even if it has been less than a decade and a half since Tian introduced his concept of evolution algebras to represent ...
Master's Final Project

#### Atractores de hábitat en la balsa del Sapo: defensa en tierra

(2020-11-01)
En el siguiente documento se desarrolla un análisis tanto histórico como morfológico del Campo de Dalías, perteneciente a ...
Master's Final Project

#### Probeta: el aljibe contemporáneo

(2020-11-01)
Al sur de España y al este de Andalucía nos encontramos con el Campo de Dalías, la mayor huerta de Europa. Esta llanura ...
Article

#### The use of non-destructive testing to evaluate the compressive strength 1 of a lime-stabilised rammed-earth wall: Rebound index and ultrasonic pulse velocity

(Elsevier, 2020-01-01)
The non-standardization of rammed earth construction involves the quality control of such a technique to be so troublesome ...
Article

#### Rammed Earth Construction: A Proposal for a Statistical Quality Control in the Execution Process

(MDPI AG, 2020-01-01)
Unlike other common contemporary construction materials such as concrete, mortars, or fired clay bricks, which are widely ...
Article

#### On Cocyclic Hadamard Matrices over Goethals-Seidel Loops

(MDPI, 2020-01-01)
About twenty-five years ago, Horadam and de Launey introduced the cocyclic development of designs, from which the notion ...
Article

#### A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five

(AIMS Press, 2020-01-01)
This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. ...
Article

#### On the r-dynamic coloring of subdivision-edge coronas of a path

(AIMS Press, 2020-01-01)
This paper deals with the r-dynamic chromatic number of the subdivision-edge corona of a path and exactly one of the ...
Article

#### On the r-dynamic coloring of the direct product of a path with either a path or a cycle

(AIMS Press, 2020-01-01)
In this paper, we determine explicitly the r-dynamic chromatic number of the direct product of any given path with either a path or a cycle. Illustrative examples are shown for each one of the cases that are studied throughout the paper.
Article

#### An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics

(MDPI, 2019-01-01)
Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of ...
Presentation

#### Towards a life cycle sustainability assessment method for the quantification and reduction of impacts of buildings life cycle

(Graz University of Technology, 2019-01-01)
The construction and building sectorsare one of the highestconsumersof resourcesand energy. Literature evidences the ...
Article

#### Computing autotopism groups of partial Latin rectangles: A pilot study

(Wiley, 2019-01-01)
Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has ...
Article

#### A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares

(Springer, 2019-01-01)
Latin squares are used as scramblers on symmetric-key algorithms that generate pseudo-random sequences of the same length. ...
Article

#### Cocyclic Hadamard matrices over Latin rectangles

(Elsevier, 2019-01-01)
In the literature, the theory of cocyclic Hadamard matrices has always been developed over finite groups. This paper ...
Article

#### Generating binary partial Hadamard matrices

(Elsevier, 2019-01-01)
This paper deals with partial binary Hadamard matrices. Although there is a fast simple way to generate about a half (which ...
Article

#### A historical perspective of the theory of isotopisms

(MDPI, 2018-08-03)
In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras ...
Article

#### Algebraic computation of genetic patterns related to three-dimensional evolution algebras

(Elsevier, 2018-02-15)
The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any ...
Article

#### A Mixed Heuristic for Generating Cocyclic Hadamard Matrices

(Springer, 2018-01-01)
A way of generating cocyclic Hadamard matrices is described, which combines a new heuristic, coming from a novel notion ...
Article

#### Gröbner bases and cocyclic Hadamard matrices

(Elsevier, 2018-01-01)
Hadamard ideals were introduced in 2006 as a set of nonlin-ear polynomial equations whose zeros are uniquely related ...
Presentation

#### Computing the sets of totally symmetric and totally conjugate orthogonal partial Latin squares by means of a SAT solver

(Computational and Mathematical Methods in Science and Engineering, 2017-07-01)
Conjugacy and orthogonality of Latin squares have been widely studied in the literature not only for their theoretical ...
Presentation

#### Mutation graphs of asexual diploid organisms

(2017-07-01)
The mutation graph of an asexual diploid organism is introduced as an edgecolouredgraph derived from the genetic pattern ...
Presentation

(2017-07-01)
Presentation

#### Generating partial Hadamard matrices as solutions to a Constraint Satisfaction Problem characterizing cliques

(2017-07-01)
A procedure is described looking for partial Hadamard matrices, as cliques of a particular subgraph Gt of Ito’s Hadamard ...
Article

#### Computation of isotopisms of algebras over finite fields by means of graph invariants

(Elsevier, 2017-07-01)
In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over ...
Presentation

#### Autotopism stabilized colouring games on rook's graphs

(2017-06-29)
Based on the fact that every partial colouring of the rook’s graph Kr✷Ks is uniquely related to an r × s partial Latin ...
Final Degree Project

#### Geometría mudéjar en el Patio de las Doncellas, Real Alcazar de Sevilla

(2017-06-01)
Desde hace varios siglos, Sevilla se caracteriza por sus patios llenos de zócalos de cerámica, lo que caracteriza su ...
Presentation

(2017-04-22)
Presentation

(2017-04-22)
Article

#### Classification of asexual diploid organisms by means of strongly isotopic evolution algebras defined over any field

(Elsevier, 2017-02-15)
Evolution algebras were introduced into Genetics to deal with the mechanism of inheritance of asexual organisms. Their ...
Article

#### Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups

(Elsevier, 2017-01-01)
Presentation

#### Θ-critical sets of Latin squares having Θ as a principal autotopism

(2006-01-01)
Any principal autotopism Θ of a Latin square L ∈ LS(n), whose elements are in a set N of n symbols, gives a significant ...
Presentation

#### Decomposition of principal autotopisms into triples of a Latin square

(2006-01-01)
Triples of a Latin square L and isotopisms of its autotopism group U (L) can be used to get a secret sharing scheme in ...
Presentation

#### Critical and forcing sets related to the autotopism group of a Latin square

(2006-01-01)
In Cryptography, critical sets of any Latin square L can be used to get the access structure of a secret sharing scheme ...
Article

#### A particular case of extended isotopisms: Santilli's isotopisms

Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity ...
Article

#### The general set in the MCIM Isotopic Model

(Springer Verlag, 2005-01-01)
To obtain a bigger number of mathematical and physical applications of the Santilli’s isotheory, the latest studies have ...
Presentation

#### Una mascota en clase de Matemáticas

(2005-01-01)
Lo que se pretende en la presente comunicación es hacer entender que disponer de una mascota en una clase de Matemáticas ...
Article

#### Isorings and related isostructures

(Zanichetti, 2005-01-01)
Lo scopo principale di questo articolo è dare una fondazione matematica, seria e costante a delle parti dell’isoteoria di ...
Article

#### The General Set in the MCIM isotopic model

(Springer, 2005-01-01)
To obtain a bigger number of mathematical and physical applications of the Santilli's isotheory, the last studies have ...
Article

#### Extension of Santilli's isotopies to non-injective isoalgebras

(Kyungnam University Press, 2005-01-01)
Santilli's isotopies constitute a new branch of mathematics characterized by axiom-preserving isotopic lifting of units, ...
Article

#### Recent advances on Tsagas-Sourlas-Santilli isotopology

(Kyungnam University Press, 2005-01-01)
Because the Lie Theory solely applies to linear systems, in 1978 Santilli proposed the isotopic lifting of Lie’s theory ...
Presentation

#### Basic concepts on Lorentz simmetry and Minkowsky isogeometry by using the MCIM isotopic model

(2004-09-01)
At 1978, R.M. Santilli proposed to generalize the conventional Lie theory by using isotopies. To do it, he considered that ...
Presentation

(2004-09-01)
Presentation

#### Álgebras admisibles e isoálgebras de Lie-Santilli (aplicación en mecánica clásica y cuántica)

(2004-01-01)
La teoría de admisibilidad en álgebras, introducida por Albert en 1948, ha resultado tener aplicación en diversos campos ...
PhD Thesis

(2004-01-01)
Presentation

#### Conceptos básicos sobre isocriptografía siguiendo el modelo MCIM

Una de las aplicaciones prácticas de la isoteoría de Santilli que ha surgido en los últimos años se refiere al campo de ...
Article