Results 71 to 80 of about 130 (125)

Lih Wang's and Dittert's conjectures on permanents

open access: yesSpecial Matrices
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
doaj   +1 more source

On the spectrum of tridiagonal matrices with two-periodic main diagonal

open access: yesSpecial Matrices
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
doaj   +1 more source

On the exact decryption range for Gentry–Halevi's implementation of fully homomorphic encryption

open access: yesJournal of Mathematical Cryptology, 2014
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
doaj   +1 more source

Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
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
doaj   +1 more source

Deciphering core phyllomicrobiome assemblage on rice genotypes grown in contrasting agroclimatic zones: implications for phyllomicrobiome engineering against blast disease. [PDF]

open access: yesEnviron Microbiome, 2022
Sahu KP   +10 more
europepmc   +1 more source

Zeros distribution and interlacing property for certain polynomial sequences

open access: yesOpen Mathematics
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
doaj   +1 more source

Convergence and approximation in potential games

open access: yes, 2006
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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