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Transactions of the American Mathematical Society, 2020 A space is called minimal if it admits a minimal continuous selfmap. We give examples of metrizable continua $X$ admitting both minimal homeomorphisms and minimal noninvertible maps, whose squares $X\times X$ are not minimal, i.e., they admit neither minimal homeomorphisms nor minimal noninvertible maps, thus providing a definitive answer to a question
Dirb��k, Mat���� +2 more
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ESAIM: Proceedings and Surveys, 2014 Let f:X → X be a continuous map defined from a topological space X into itself. We discuss the problem of analyzing and computing explicitly the set Per(fp) of periods of the p-th iterate ...
Cánovas J.S., Linero Bas A.
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Direct product of Neutrosophic INK Algebras [PDF]
Neutrosophic Sets and Systems, 2020 In this paper, first we define the notion direct product of neutrosophic sets in INK-algebras, neutrosophic set, neutrosophic INK-ideals, neutrosophic closed INK-ideals and direct product of neutrosophic INK-ideals in INK-algebras. We prove some theorems
M. Kaviyarasu +2 more
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Langford sequences and a product of digraphs [PDF]
, 2015 Skolem and Langford sequences and their many generalizations have applications in numerous areas. The $\otimes_h$-product is a generalization of the direct product of digraphs. In this paper we use the $\otimes_h$-product and super edge-magic digraphs to
López, Susana-Clara +1 more
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Union of Distance Magic Graphs
Discussiones Mathematicae Graph Theory, 2017 A distance magic labeling of a graph G = (V,E) with |V | = n is a bijection ℓ from V to the set {1, . . . , n} such that the weight w(x) = ∑y∈NG(x) ℓ(y) of every vertex x ∈ V is equal to the same element μ, called the magic constant.
Cichacz Sylwia, Nikodem Mateusz
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Rainbow eulerian multidigraphs and the product of cycles [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 An arc colored eulerian multidigraph with $l$ colors is rainbow eulerian if there is an eulerian circuit in which a sequence of $l$ colors repeats. The digraph product that refers the title was introduced by Figueroa-Centeno et al. as follows: let $D$ be
Susana López +1 more
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Permanents of Direct Products [PDF]
Proceedings of the American Mathematical Society, 1966 It is well known that if \(A\) and \(B\) are \(n\) and \(m\)-square matrices, respectively, then \(\det(A\otimes B) = (\det A)^m (\det B)^n\), where \(A\otimes B)\) is the tensor or direct product of \(A\) and \(B\). This implies \[ \vert\det(A\otimes B)\vert^2 = (\det(AA^*))^m (\det(B^*B))^n, \] where \(A^*\) is the conjugate transpose of \(A\).
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Internal Direct Products and the Universal Property of Direct Product Groups
Formalized Mathematics, 2023 Abstract This is a “quality of life” article concerning product groups, using the Mizar system [2], [4]. Like a Sonata, this article consists of three movements. The first act, the slowest of the three, builds the infrastructure necessary for the rest of the article.
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Two dimentional lattice vibrations from direct product representations of symmetry groups
International Journal of Mathematics and Mathematical Sciences, 1983 Arrangements of point masses and ideal harmonic springs are used to model two dimensional crystals. First, the Born cyclic condition is applied to a double chain composed of coupled linear lattices to obtain a cylindrical arrangement.
J. N. Boyd, P. N. Raychowdhury
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Complex Vague Graphs and Their Application in Decision-Making Problems
IEEE Access, 2020 Fuzzy graph models are found everywhere in natural and human made structures, including process dynamics in biological, physical and social systems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is ...
Shouzhen Zeng +4 more
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