Doctorat en Matemàtica Aplicada
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Articles de revista [93]
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Reports de recerca [11]
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Some characterizations of resolute majority rules
(Springer, 2023-10-14)
Article
Open AccessIn this paper we consider decision functions in which voters have three options and one of them is abstention or indifference and the output is a binary decision between two alternatives so that a tie is not possible. These ... -
Cospectral generalized Johnson and Grassmann graphs
(2022)
Conference lecture
Open AccessGraphs with the same spectrum are called cospectral. A graph is determined by its spectrum if every graph cospectral with it is isomorphic to it. We ponder the question "Which graphs are determined by their spectrum?" for ... -
Cospectral mates for generalized Johnson and Grassmann graphs
(Elsevier, 2023-12)
Article
Open AccessWe provide three infinite families of graphs in the Johnson and Grassmann schemes that are not uniquely determined by their spectrum. We do so by constructing graphs that are cospectral but non-isomorphic to these graphs. -
Particle realization of Bondi-Metzner-Sachs symmetry in 2 + 1 space-time
(Springer, 2023-11-02)
Article
Open AccessWe construct a Lorentz invariant massive particle model in (2+1) space-time with an enlarged set of symmetries which includes Bondi-Metzner-Sachs (BMS) translations (supertranslations), using the non-linear realization ... -
A mechanical G2 checkpoint controls epithelial cell division through E-cadherin-mediated regulation of Wee1-Cdk1
(Elsevier, 2022-10-11)
Article
Open AccessEpithelial cell divisions are coordinated with cell loss to preserve epithelial integrity. However, how epithelia adapt their rate of cell division to changes in cell number, for instance during homeostatic turnover or ... -
Product-free sets in the free group
(2023)
Conference lecture
Open AccessWe prove that product-free sets of the free group over a finite alphabet have max-imum density1/2with respect to the natural measure that assigns total weight oneto each set of irreducible words of a given length. This ... -
Random walks associated with symmetric M-matrices
(Elsevier, 2023-10)
Article
Open AccessIn this paper we generalize the transition probability matrix for a random walk on a finite network by defining the transition probabilities througha symmetric M-matrix. Usually, the walker jumps from a vertex to a ... -
Chordal graphs with bounded tree-width
(Masaryk University, 2023)
Conference lecture
Open AccessGiven $t\ge 2$ and $0\le k\le t$, we prove that the number of labelled $k$-connected chordal graphs with $n$ vertices and tree-width at most $t$ is asymptotically $c n^{-5/2} \gamma^n n!$, as $n\to\infty$, for some constants ... -
Multisymplectic formalism for cubic horndeski theories
(2023-07-10)
Article
Restricted access - publisher's policyWe present the covariant multisymplectic formalism for the so-called cubic Horndeski theories and discuss the geometrical and physical interpretation of the constraints that arise in the uni¿ed Lagrangian-Hamiltonian ... -
On polynomials associated to Voronoi diagrams of point sets and crossing numbers
(Universitat Politècnica de Catalunya (UPC), 2023)
Conference report
Open AccessThree polynomials are defined for sets S of n points in general position in the plane: The Voronoi polynomial with coefficients the numbers of vertices of the order-k Voronoi diagrams of S, the circle polynomial with ... -
Single and two-cells shape analysis from energy functionals for three-dimensional vertex models
(John Wiley & sons, 2023-07-21)
Article
Open AccessVertex models have been extensively used for simulating the evolution ofmulticellular systems, and have given rise to important global properties con-cerning their macroscopic rheology or jamming transitions. These models ... -
On remote electronic voting with both coercion resistance and cast-as-intended verifiability
(2023-08-01)
Article
Open AccessIn this work, we study two essential but apparently contradictory properties of electronic voting systems: coercion resistance (CR) and cast-as-intended verifiability (CAI). Informally, the CR property ensures that a voter ...
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