Browsing Articles publicats (Matemàtica) by Title
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A blowup method to prove formal integrability for some planar differential systems
(Shanghai Normal University & Wilmington Scientific Publisher, 2018)In this work we provide an effective method to prove the formal integrability of the resonant saddles. The method is based on the use of a blowup and the resolution of a recurrence differential equation using induction. ... 
A Chebyshev criterion for Abelian integrals
(American Mathematical Society, 2010)We present a criterion that provides an easy sufficient condition in order that a collection of Abelian integrals has the Chebyshev property. This condition involves the functions in the integrand of the Abelian integrals ... 
A Construction for Providing Reusability to Mobile PhoneBased eTickets
(IEEE, 2020)Nowadays, the use of electronic tickets in public transport is a reality. Several mobile phonebased eticket systems have been proposed so far. Even so, very few of them include reusability in the sense that a single ... 
A counterexample to the composition condition conjecture for polynomial Abel differential equations
(Cambridge University Press, 2019)Polynomial Abel differential equations are considered a model problem for the classical Poincaré center–focus problem for planar polynomial systems of ordinary differential equations. In the last few decades, several works ... 
A general method to obtain the spectrum and local spectra of a graph from its regular partitions
(International Linear Algebra Society, 20200712)It is well known that, in general, part of the spectrum of a graph can be obtained from the adjacency matrix of its quotient graph given by a regular partition. In this paper, a method that gives all the spectrum, and also ... 
A method for characterizing nilpotent centers
(Elsevier, 2014)To characterize when a nilpotent singular point of an analytic differential system is a center is of particular interest, first for the problem of distinguishing between a focus and a center, and after for studying the ... 
A Moorelike bound for mixed abelian Cayley graphs
(Elsevier B.V., 20160926)We give an upper bound for the number of vertices in mixed abelian Cayley graphs with given degree and diameter. 
A new approach to gross error detection for GPS networks
(Elsevier, 2019)We present a new matrixbased approach to detect and correct gross errors in GPS geodetic control networks. The study is carried out by introducing a new matrix, whose entries are powers of a (real or complex) variable, ... 
A new general family of mixed graphs
(Elsevier, 2018)A new general family of mixed graphs is presented, which generalizes both the pancake graphs and the cycle prefix digraphs. The obtained graphs are vertex transitive and, for some values of the parameters, they constitute ... 
A new labeling construction from the ⊗hproduct
(Elsevier, 2017)The product that is referred in the title was introduced in 2008 as a generalization of the Kronecker product of digraphs. Many relations among labelings have been obtained since then, always using as a second factor a ... 
A note on a new general family of deterministic hierarchical networks
(World Scientific Publishing, 2019)It is known that many networks modeling reallife complex systems are smallword (large local clustering and small diameter) and scalefree (power law of the degree distribution), and very often they are also hierarchical. ... 
A note on Liouvillian first integrals and invariant algebraic curves
(Elsevier, 201302)In this work we study the existence and nonexistence of finite invariant algebraic curves for a complex planar polynomial differential system having a Liouvillian first integral. 
A PrivacyPreserving PaybyPhone Parking System
(Institute of Electrical and Electronics Engineers (IEEE), 2017)Most cities around the world require drivers to pay for the time they occupy a parking spot. In this way, drivers are encouraged to shorten parking time so that other drivers are given a reasonable chance of finding ... 
A privacypreserving reputation system with user rewards
(Elsevier, 2017)Reputation systems are useful to assess the trustworthiness of potential transaction partners, but also a potential threat to privacy since rating profiles reveal users’ preferences. Anonymous reputation systems resolve this ... 
A problem on edgemagic labelings of cycles
(Cambridge University Press, 20140614)Kotzig and Rosa defined in 1970 the concept of edgemagic labelings as follows: let G be a simple (p, q)graph (that is, a graph of order p and size q without loops or multiple edges). A bijective function f : V (G)∪E(G) ... 
A second order analysis of the periodic solutions for nonlinear periodic differential systems with a small parameter
(Elsevier, 2012)We deal with nonlinear T–periodic differential systems depending on a small parameter. The unperturbed system has an invariant manifold of periodic solutions. We provide the expressions of the bifurcation functions up to ... 
A sufficient condition in order that the real Jacobian conjecture in R^2 holds
(Elsevier, 2016)Let F=(f,g):R2→R2 be a polynomial map such that detDF(x,y) is different from zero for all (x,y)∈R2 and F(0,0)=(0,0). We prove that for the injectivity of F it is sufficient to assume that the higher homogeneous terms of ... 
A survey of isochronous centers
(Edicions de la Universitat de Lleida, 1999) 
A survey on the inverse integrating factor
(Springer, 2010)The relation between limit cycles of planar differential systems and the inverse integrating factor was first shown in an article of Giacomini, Llibre and Viano appeared in 1996. From that moment on, many research articles ... 
A survey on the missing Moore graph
(Elsevier, 20190116)This is a survey on some known properties of the possible Moore graph (or graphs) ϒ with degree 57 and diameter 2. Moreover, we give some new results about it, such as the following. When we consider the distance partition ...