On characteristic polynomial of higher order generalized Jacobsthal numbers
In this paper, we study a higher order generalization of the Jacobsthal sequence, namely, the (k,c) $(k,c)$-Jacobsthal sequence (Jn(k,c)) $(J^{(k,c)}_{n})$ for any integers n, k≥2 $k\geq 2$ and a real number c>0 $c>0$.
Diego Marques, Pavel Trojovský
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Possible Digraphs Structures Corresponding to Characteristic Polynomial
The dataset contains all possible digraphs structures in class K1 corresponding to the one-dimensional characteristic ...
Markowski, K (via Mendeley Data) +2 more
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图的Aα-特征多项式系数的一个注记(A note on the coefficients of the Aα-characteristic polynomial of a graph)
Let G be a graph on n vertices, and let A( G ) and D ( G ) denote the adjacency matrix and the degree matrix of G, respectively. Define Aα ( G )= αD ( G )+( 1 - α ) A( G ) for any real α ∈ [ 0,1 ].
LIUShunyi,(柳顺义) +1 more
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A quadratic Poisson Gel'fand-Kirillov problem in prime characteristic [PDF]
The quadratic Poisson Gel’fand-Kirillov problem asks whether the field of fractions of a Poisson algebra is Poisson birationally equivalent to a Poisson affine space, i.e. to a polyno-mial algebra K[X1,..., Xn] with Poisson bracket defined by {Xi, Xj} =
Lecoutre, Cesar +3 more
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Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati +2 more
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Gridding discretization-based multiple stability switching delay search algorithm: The movement of a human being on a controlled swaying bow. [PDF]
Delay represents a significant phenomenon in the dynamics of many human-related systems-including biological ones. It has i.a. a decisive impact on system stability, and the study of this influence is often mathematically demanding. This paper presents a
Libor Pekař +2 more
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New polynomial-based molecular descriptors with low degeneracy. [PDF]
In this paper, we introduce a novel graph polynomial called the 'information polynomial' of a graph. This graph polynomial can be derived by using a probability distribution of the vertex set.
Matthias Dehmer +2 more
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A note on divergence-free polynomial derivations in positive characteristic [PDF]
In this paper we discuss an explicit form of divergence-free polynomial derivations in positive characteristic.
Piotr Jędrzejewicz +1 more
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On the characteristic polynomial of ( k , p ) $(k,p)$ -Fibonacci sequence
Recently, Bednarz introduced a new two-parameter generalization of the Fibonacci sequence, which is called the ( k , p ) $(k,p)$ -Fibonacci sequence and denoted by ( F k , p ( n ) ) n ≥ 0 $(F_{k,p}(n))_{n\geq0}$ .
Pavel Trojovský
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Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
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