Recent Submissions

  • Equilibrium measures for Laplacian matrices in Random Walks 

    Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José; Martin Llopis, Álvar (2024)
    Conference report
    Open Access
  • Kemeny’s constant in Schrödinger Random Walks 

    Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José; Martin Llopis, Álvar (2024)
    Conference report
    Open Access
  • Random Walks meet M-matrices 

    Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José; Martin Llopis, Álvar (2024)
    Conference report
    Open Access
  • Sibson’s formula for higher order Voronoi diagrams 

    Claverol Aguas, Mercè; Heras Parrilla, Andrea de las; Huemer, Clemens; Lara, Dolores (2024)
    Conference report
    Open Access
    Let $S$ be a set of $n$ points in general position in $\mathbb{R}^d$. The order-$k$ Voronoi diagram of $S$, $V_k(S)$, is a subdivision of $\mathbb{R}^d$ into cells whose points have the same $k$ nearest points of $S$. ...
  • Properties for Voronoi diagrams of arbitrary order on the sphere 

    Claverol Aguas, Mercè; Heras Parrilla, Andrea de las; Huemer, Clemens (2022)
    Conference report
    Open Access
    For a given set of points U on a sphere S, the order k spherical Voronoi diagram SVk(U) decomposes the surface of S into regions whose points have the same k nearest points of U. We study properties for SVk(U), using ...
  • An application to measure consensus on customers’ ratings using Hesitant Fuzzy Linguistic Term Sets 

    Abuasaker, Walaa; Nguyen, Jeniffer; Agell, Núria; Ruiz Vegas, Francisco Javier; Sánchez Soler, Monica (IOS Press, 2023)
    Conference lecture
    Open Access
    In this study, we propose a methodology using hesitant fuzzy linguistic term sets to aggregate rating values. The main idea is to define an integrated methodology for collaborative platforms involving individuals that use ...
  • Cospectral generalized Johnson and Grassmann graphs 

    Abiad, Aida; D'haeseleer, Jozefien; Simoens, Robin Nicolas (2022)
    Conference lecture
    Open Access
    Graphs 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 ...
  • Product-free sets in the free group 

    Ortega Sánchez Colomer, Miquel; Rué Perna, Juan José; Serra Albó, Oriol (2023)
    Conference lecture
    Open Access
    We 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 ...
  • Chordal graphs with bounded tree-width 

    Castellví Foguet, Jordi; Drmota, Michael; Noy Serrano, Marcos; Requile, Clement (Masaryk University, 2023)
    Conference lecture
    Open Access
    Given $t\ge 2$ 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 ...
  • On polynomials associated to Voronoi diagrams of point sets and crossing numbers 

    Claverol Aguas, Mercè; Heras Parrilla, Andrea de las; Flores, David; Huemer, Clemens; Orden Martin, David (Universitat Politècnica de Catalunya (UPC), 2023)
    Conference report
    Open Access
    Three 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 ...
  • Inference of contractility evolution on planar worm locomotion 

    Muñoz Romero, José; Jimenez Blanco, Albert; Bijalwan, Ashutosh (2023)
    Conference report
    Open Access
  • Measuring cocircularity in a point set 

    Heras Parrilla, Andrea de las; Esteban, Guillermo; Garijo Royo, Delia; Huemer, Clemens; Lozano Boixadors, Antoni; Oliver, Nicolau; Orden Martin, David (2023)
    Conference report
    Open Access
    In a given set S of n points in the plane, how close are four points of S to be cocircular? We define several measures to study this question, and present bounds on this almost-cocircularity in a point set. Algorithms for ...

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