DSpace community:
http://ria.ua.pt:80/handle/10773/5695
Sun, 22 Apr 2018 07:00:33 GMT2018-04-22T07:00:33ZConcatenation of convolutional codes and rank metric codes for multi-shot network coding
http://ria.ua.pt:80/handle/10773/22745
title: Concatenation of convolutional codes and rank metric codes for multi-shot network coding
authors: Napp, Diego; Pinto, Raquel; Sidorenko, Vladimir
abstract: In this paper we present a novel coding approach to deal with the transmission of
information over a network. In particular we make use of the network several times (multishot)and impose correlation in the information symbols over time. We propose to encode the information via an inner and an outer code, namely, a Hamming metric convolutional code as an outer code and a rank metric code as an inner code. We show how this simple concatenation scheme can exploit the potential of both codes to produce a code that can correct a large number of error patterns.Mon, 01 Jan 2018 00:00:00 GMThttp://ria.ua.pt:80/handle/10773/227452018-01-01T00:00:00ZOn the higher differentiability of solutions to a class of variational problems of fast growth
http://ria.ua.pt:80/handle/10773/22744
title: On the higher differentiability of solutions to a class of variational problems of fast growth
authors: Cellina, Arrigo; Staicu, Vasile
abstract: We consider the higher differentiability of a solution $u$ to the problem of minimizing $$\int_{\om}[\Lambda(x ,|\nabla v(x)|) +f(x)v(x)]dx$$
where $\Lambda$ is of fast growth in the second variable, i.e., we assume that $\Lambda(x,t)$ grows in $t$ faster than $t^N$, where $N$ is the dimension of the space. We do not assume conditions limiting above the size of the second derivative of $\Lambda$ with respect to $t$.Thu, 15 Mar 2018 00:00:00 GMThttp://ria.ua.pt:80/handle/10773/227442018-03-15T00:00:00ZNorm Estimates and Uncertainty Principles Associated with the Laguerre Integral Transform
http://ria.ua.pt:80/handle/10773/22652
title: Norm Estimates and Uncertainty Principles Associated with the Laguerre Integral Transform
authors: Rodrigues, M. M.; Huy, V. N.; Tuan, N. M.
abstract: In this paper we present some results concerning the action of the Laguerre
integral transform over the class of polynomials and over the class of infinitely differentiable
functions. We prove several uncertainty inequalities of Heisenberg-type,
and we also indicate an explicit boundedness for two classes of generalized Laguerre
integral transforms which include the classical Riemann Liouville fractional integral.Mon, 01 Jan 2018 00:00:00 GMThttp://ria.ua.pt:80/handle/10773/226522018-01-01T00:00:00ZA sharp lower bound on the signless Laplacian index of graphs with (k,t)-regular sets
http://ria.ua.pt:80/handle/10773/22568
title: A sharp lower bound on the signless Laplacian index of graphs with (k,t)-regular sets
authors: Andelic, Milica; Cardoso, Domingos M.; Pereira, AntÃ³nio
abstract: A new lower bound on the largest eigenvalue of the signless
Laplacian spectra for graphs with at least one
$(\kappa,\tau)$-regular set is introduced and applied to the
recognition of non-Hamiltonian graphs or graphs without a perfect
matching. Furthermore, computational experiments revealed that the
introduced lower bound is better than the known ones. The paper also gives sufficient condition for a graph to be non Hamiltonian (or without a perfect matching).Sat, 03 Mar 2018 00:00:00 GMThttp://ria.ua.pt:80/handle/10773/225682018-03-03T00:00:00Z