Browsing Articles publicats (Matemàtica) by Title
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On bipartitemixed graphs
(Wiley, 20180404)Mixed graphs can be seen as digraphs that have both arcs and edges (or digons, that is, two opposite arcs). In this arti cle, we consider the case where such graphs are bipartite. As main results, we show that in this ... 
On dFibonacci digraphs
(Institut Teknologi Bandung (ITB) Indonesia; Indonesian Combinatorial Society (InaCombS); GTA Research Group, University of Newcastle (Australia), 2021)The dFibonacci digraphs F(d, k), introduced here, have the number of vertices following some generalized Fibonaccilike sequences. They can be defined both as digraphs on alphabets and as iterated line digraphs. Here we ... 
On Middle Cube Graphs
(Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia, 2015)We study a family of graphs related to the $n$cube. The middle cube graph of parameter k is the subgraph of $Q_{2k1}$ induced by the set of vertices whose binary representation has either $k1$ or $k$ number of ones. The ... 
On mixed almost Moore graphs of diameter two
(Electronic Journal of Combinatorics, 20160401)Mixed almost Moore graphs appear in the context of the Degree/Diameter problem as a class of extremal mixed graphs, in the sense that their order is one less than the Moore bound for mixed graphs. The problem of their ... 
On quotient digraphs and voltage digraphs
(Combinatorial Mathematics Society of Australasia (CMSA), 2017)We study the relationship between two key concepts in the theory of digraphs, those of quotient digraphs and voltage digraphs. These techniques contract or expand a given digraph in order to study its characteristics, or ... 
On super edgemagic decomposable graphs
(Springer, 2012)Let G be any graph and let {Hi}i∈I be a family of graphs such that E(Hi) ∩ E(Hj ) = ∅ when i 6= j, ∪i∈IE(Hi) = E(G) and E(Hi) 6= ∅ for all i ∈ I. In this paper we introduce the concept of {Hi}i∈I super edgemagic decomposable ... 
On the ℓadic valuation of the cardinality of elliptic curves over finite extensions of Fq
(Springer Verlag, 2015)Let E be an elliptic curve defined over a finite field Fq of odd characteristic. Let l≠2 be a prime number different from the characteristic and dividing #E(Fq). We describe how the ladic valuation of the number of points ... 
On the betanumber of forests with isomorphic components
(De Gruyter Open, 2018)The betanumber, β (G), of a graph G is defined to be either the smallest positive integer n for which there exists an injective function f : V (G) → {0, 1, . . . , n} such that each uv ∈ E (G) is labeled f (u) − f (v) ... 
On the center conditions for analytic monodromic degenerate singularities
(World Scientific Publishing, 2012)In this paper we present two methods for detecting centers of monodromic degenerate singularities of planar analytic vector fields. These methods use auxiliary symmetric vector fields can be applied independently that the ... 
On the extensions of the Darboux theory of integrability
(IOP Publishing, 2013)Recently some extensions of the classical Darboux integrability theory to autonomous and nonautonomous polynomial vector fields were completed. The classical Darboux integrability theory and its recent extensions are based ... 
On the Formal Integrability Problem for Planar Differential Systems
(Hindawi Publishing Corporation, 2013)We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results ... 
On the Integrability of Liénard systems with a strong saddle
(Elsevier, 2017)We study the local analytic integrability for real Li\'{e}nard systems, $\dot x=yF(x),$ $\dot y= x$, with $F(0)=0$ but $F'(0)\ne0,$ which implies that it has a strong saddle at the origin. First we prove that this problem ... 
On the Laplacian spectra of token graphs
(Elsevier, 2021)We study the Laplacian spectrum of token graphs, also called symmetric powers of graphs. The ktoken graph Fk(G) of a graph G is the graph whose vertices are the ksubsets of vertices from G, two of which being adjacent ... 
On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations
(IOP Publishing, 20181121)In this work we consider real analytic functions $d(z,\la,\e)$, where $d : \Omega \times \mathbb{R}^p \times I \to \Omega$, $\Omega$ is a bounded open subset of $\R$, $I \subset \mathbb{R}$ is an interval containing the ... 
On the origin of the deflection of light
(Elsevier, 2008)Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post–Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional ... 
On the origin of the inertia: the modified Newtonian dynamics theory
(Elsevier, 2009)The sameness between the inertial mass and the gravitational mass is an assumption and not a consequence of the equivalent principle is shown. In the context of the Sciama’s inertia theory, the sameness between the inertial ... 
On the periodic orbit bifurcating from a Hopf bifurcation in systems with two slow and one fast variables
(Elsevier, 2014)The Hopf bifurcation in slowfast systems with two slow variables and one fast variable has been studied recently, mainly from a numerical point of view. Our goal is to provide an analytic proof of the existence of the ... 
On the planar integrable differential systems
(Springer Verlag, 2011)Under very general assumptions we prove that the planar differential systems having a first integral are essentially the linear differential systems u˙ = u, ˙v = v. Additionally such systems always have a Lie symmetry. We ... 
On the Randić index of graphs
(Elsevier, 20180911)For a given graph G = (V, E), the degree mean rate of an edge uv ∈ E is a half of the quotient between the geometric and arithmetic means of its endvertex degrees d(u) and d(v). In this note, we derive tight bounds for ... 
On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs
(Taylor & Francis, 20220219)The universal adjacency matrix U of a graph Γ, with adjacency matrix A, is a linear combination of A, the diagonal matrix D of vertex degrees, the identity matrix I, and the all1 matrix J with real coefficients, that is, ...