Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Falcon, Raul"'
Autor:
Falcón, Raúl M., Mella, Lorenzo
A Heffter array over an additive group $G$ is any partially filled array $A$ satisfying that: (1) each one of its rows and columns sum to zero in $G$, and (2) if $i\in G\setminus\{0\}$, then either $i$ or $-i$ appears exactly once in $A$. In this pap
Externí odkaz:
http://arxiv.org/abs/2410.23216
The Hadamard quasigroup product has recently been introduced as a natural generalization of the classical Hadamard product of matrices. It is defined as the superposition operator of three binary operations, one of them being a quasigroup operation.
Externí odkaz:
http://arxiv.org/abs/2410.23183
Now-a-days, ensuring data security has become an increasingly formidable challenge in safeguarding individuals' sensitive information. Secret-sharing scheme has evolved as a most successful cryptographic technique that allows a secret to be divided o
Externí odkaz:
http://arxiv.org/abs/2404.16843
Autor:
Cavenagh, Nicholas, Falcón, Raúl
In 2008, Cavenagh and Dr\'{a}pal, et al, described a method of constructing Latin trades using groups. The Latin trades that arise from this construction are entry-transitive (that is, there always exists an autoparatopism of the Latin trade mapping
Externí odkaz:
http://arxiv.org/abs/2308.14987
Let $G$ and $H$ be two graphs, each one of them being a path, a cycle or a star. In this paper, we determine the $b$-chromatic number of every subdivision-vertex neighbourhood corona $G\boxdot H$ or $G\boxdot K_n$, where $K_n$ is the complete graph o
Externí odkaz:
http://arxiv.org/abs/2302.13667
In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar chorded cycles. Their local fractional metric dimension is established for those ones arisen from chorded cycles of order up to si
Externí odkaz:
http://arxiv.org/abs/2105.07808
Publikováno v:
Computational and Mathematical Methods 3:3 (2021) paper e1094
Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has two aims: (a) to compare these methods experimentally, and (b) to identify the design goals one should have in mind for developing
Externí odkaz:
http://arxiv.org/abs/1910.10103
Autor:
Falcón, Raúl M., Stones, Rebecca J.
Publikováno v:
The Electronic Journal of Combinatorics 27:2 (2020) #P2.47
This paper deals with distinct computational methods to enumerate the set $\mathrm{PLR}(r,s,n;m)$ of $r \times s$ partial Latin rectangles on $n$ symbols with $m$ non-empty cells. For fixed $r$, $s$, and $n$, we prove that the size of this set is a s
Externí odkaz:
http://arxiv.org/abs/1908.10610
Publikováno v:
Quaestiones Mathematicae 42:7 (2019) 953-975
Every partial colouring of a Hamming graph is uniquely related to a partial Latin hyper-rectangle. In this paper we introduce the $\Theta$-stabilized $(a,b)$-colouring game for Hamming graphs, a variant of the $(a,b)$-colouring game so that each move
Externí odkaz:
http://arxiv.org/abs/1707.00263
Publikováno v:
Applied Mathematics and Computation 319 (2018) 510-517
The mitosis process of an eukaryotic cell can be represented by the structure constants of an evolution algebra. Any isotopism of the latter corresponds to a mutation of genotypes of the former. This paper uses Computational Algebraic Geometry to det
Externí odkaz:
http://arxiv.org/abs/1705.04157