New Bounds on Eigenvualues of Laplacian
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-019-0217-3
Abstract: In this paper, we investigate non-zero positive eigenvalues of the Laplacian with Dirichlet boundary condition in an n-dimentional Euclidean space ℝn, then we obtain an new upper bound of the (k + 1)-th eigenvalue λk+1,… read more here.
Keywords: bounds eigenvualues; new bounds; eigenvualues laplacian;
Some new bounds on LCD codes over finite fields
Sign Up to like & getrecommendations! Published in 2020 at "Cryptography and Communications"
DOI: 10.1007/s12095-019-00417-y
Abstract: In this paper, we show that LCD codes are not equivalent to non-LCD codes over small finite fields. The enumeration of binary optimal LCD codes is obtained. We also get the exact value of LD(… read more here.
Keywords: bounds lcd; new bounds; codes finite; finite fields ... See more keywords
On a conjecture of Demailly and new bounds on Waldschmidt constants in PN
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.12.004
Abstract: In the present note we prove a conjecture of Demailly for finite sets of sufficiently many very general points in projective spaces. This gives a lower bound on Waldschmidt constants of such sets. Waldschmidt constants… read more here.
Keywords: bounds waldschmidt; new bounds; demailly new; conjecture demailly ... See more keywords
SOME NEW BOUNDS AND APPROXIMATIONS ON TAIL PROBABILITIES OF THE POISSON AND OTHER DISCRETE DISTRIBUTIONS
Sign Up to like & getrecommendations! Published in 2020 at "Probability in the Engineering and Informational Sciences"
DOI: 10.1017/s0269964818000347
Abstract: Abstract In this paper, we discuss new bounds and approximations for tail probabilities of certain discrete distributions. Several different methods are used to obtain bounds and/or approximations. Excellent upper and lower bounds are obtained for… read more here.
Keywords: probabilities poisson; approximations tail; new bounds; tail probabilities ... See more keywords
Quantum Flags and New Bounds on the Quantum Capacity of the Depolarizing Channel.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.020503
Abstract: A new upper bound for the quantum capacity of the d-dimensional depolarizing channels is presented. Our derivation makes use of a flagged extension of the map where the receiver obtains a copy of a state… read more here.
Keywords: flags new; depolarizing channel; new bounds; capacity ... See more keywords
Some New Bounds for α-Adjacency Energy of Graphs
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11092173
Abstract: Let G be a graph with the adjacency matrix A(G), and let D(G) be the diagonal matrix of the degrees of G. Nikiforov first defined the matrix Aα(G) as Aα(G)=αD(G)+(1−α)A(G), 0≤α≤1, which shed new light… read more here.
Keywords: bounds adjacency; energy; new bounds; energy graphs ... See more keywords
New bounds on Zagreb indices
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Inequalities"
DOI: 10.7153/jmi-11-17
Abstract: The Zagreb indices are among the oldest and the most famous topological molecular structure-descriptors. The first Zagreb index is equal to the sum of the squares of the degrees of the vertices, and the second… read more here.
Keywords: bounds zagreb; zagreb indices; new bounds;