Computing the sequence of k-cardinality assignments. [PDF]
Rosenmann A.
europepmc +1 more source
Lih Wang's and Dittert's conjectures on permanents
Let Ωn{\Omega }_{n} denote the set of all doubly stochastic matrices of order nn. Lih and Wang conjectured that for n≥3n\ge 3, per(tJn+(1−t)A)≤t\left(t{J}_{n}+\left(1-t)A)\le tperJn+(1−t){J}_{n}+\left(1-t)perAA, for all A∈ΩnA\in {\Omega }_{n} and all t ...
Udayan Divya K. +1 more
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Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix. [PDF]
Kocharovsky V +3 more
europepmc +1 more source
On the spectrum of tridiagonal matrices with two-periodic main diagonal
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
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On the exact decryption range for Gentry–Halevi's implementation of fully homomorphic encryption
In this paper, we revisit the fully homomorphic encryption (FHE) scheme implemented by Gentry and Halevi, which is just an instantiation of Gentry's original scheme based on ideal lattices.
Yasuda Masaya +4 more
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Entropy Optimization, Maxwell-Boltzmann, and Rayleigh Distributions. [PDF]
Sebastian N, Mathai AM, Haubold HJ.
europepmc +1 more source
Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers
In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
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Deciphering core phyllomicrobiome assemblage on rice genotypes grown in contrasting agroclimatic zones: implications for phyllomicrobiome engineering against blast disease. [PDF]
Sahu KP +10 more
europepmc +1 more source
Zeros distribution and interlacing property for certain polynomial sequences
In this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Convergence and approximation in potential games
AMS subject classifications. 15A15 Abstract. We study the speed of convergence to approximately optimal states in two classes of potential games. We provide bounds in terms of the number of rounds, where a round consists of a sequence of movements, with ...
George Christodoulou +2 more
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