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Artículo
Solving the dynamic coloring problem for direct products of paths with fan graphs
(Sciendo, 2023-01)
This paper deals with the r-dynamic chromatic problem of the direct product of a path with a fan graph Fm,n. The problem is completely solved except for the case n < r ∈ {2m + 2, 2m + 3}, which is solved under certain ...
Artículo
The r-dynamic edge coloring of a closed helm graph
(Unión Matemática Argentina, 2023-11-22)
As a natural generalization of the classical coloring problem in graph theory, the dynamic coloring problem deals with the existence of a proper coloring c of a graph so that |c(N(v))| ≥ min{r, d (v)} for every vertex v . ...
Artículo
Set-independence graphs of vector spaces and partial quasigroups
(Yildiz Technical University, 2023-09-04)
As a generalization of independence graphs of vector spaces and groups, we introduce the notions of set-independence graphs of vector spaces and partial quasigroups. The former are characterized for finite-dimensional ...
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
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
Discussion on different numerical treatments on the loss of hyperbolicity for the two-layer shallow water system
(Elsevier, 2023)
This paper focus on the numerical approximation of two-layer shallow water system. First, a new approximation of the eigenvalues of the system is proposed, which satisfies some interesting properties. From this approximation, ...
Artículo
A generalisation of the Phase Kick-Back
(Springer, 2023-03-13)
In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical algorithms in quantum computing. We will begin by recalling the Phase Kick-Back technique to then ...
Artículo
Local Superderivations on Solvable Lie and Leibniz Superalgebras
(Springer, 2023-01-21)
Throughout this paper, we show on one hand, that there are nilpotent and solvable Lie superalgebras with infinitely many local superderivations which are not standard superderivations. On the other hand, we show that every ...
Artículo
Incorporation of a metal catalyst for the ammonia synthesis in a ferroelectric packed-bed plasma reactor: does it really matter?
(American Chemical Society, 2023-02-20)
Plasma-catalysis has been proposed as a potential alternative for the synthesis of ammonia. Studies in this area focus on the reaction mechanisms and the apparent synergy existing between processes occurring in the plasma ...