Now showing items 1-20 of 57

    • A solution to the tennis ball problem 

      Mier Vinué, Anna de; Noy Serrano, Marcos (2005)
      Article
      Open Access
      We present a complete solution to the so-called tennis ball problem, which is equivalent to counting the number of lattice paths in the plane that use North and East steps and lie between certain boundaries. The solution ...
    • Bijections for Baxter families and related objects 

      Felsner, Stefan; Fusy, Éric; Noy Serrano, Marcos; Orden, David (2011-04)
      Article
      Open Access
      The Baxter number can be written as $B_n = \sum_0^n \Theta_{k,n-k-1}$. These numbers have first appeared in the enumeration of so-called Baxter permutations; $B_n$ is the number of Baxter permutations of size $n$, and ...
    • CÀLCUL EN UNA VARIABLE 

      Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2021-01-12)
      Exam
      Restricted access to the UPC academic community
    • CÀLCUL EN UNA VARIABLE 

      Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2020-10-26)
      Exam
      Restricted access to the UPC academic community
    • CÀLCUL EN UNA VARIABLE | (Examen extraordinari) 

      Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2019-07-01)
      Exam
      Restricted access to the UPC academic community
    • CÀLCUL EN UNA VARIABLE | EXTRAORDINARI 

      Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2023-06-28)
      Exam
      Restricted access to the UPC academic community
    • CÀLCUL EN UNA VARIABLE | FINAL 

      Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2023-01-19)
      Exam
      Restricted access to the UPC academic community
    • CÀLCUL EN UNA VARIABLE | FINAL 

      Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2022-01-17)
      Exam
      Restricted access to the UPC academic community
    • CÀLCUL EN UNA VARIABLE | PARCIAL 

      Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2021-11-02)
      Exam
      Restricted access to the UPC academic community
    • Chordal graphs with bounded tree-width 

      Castellví, Jordi; Drmota, Michael; Noy Serrano, Marcos; Requile, Clement (2024-06)
      Article
      Open Access
      Given t \geq 2 and 0 \leq k \leq t, we prove that the number of labelled k-connected chordal graphs with n vertices and tree-width at most t is asymptotically cn -5/2 \gamma {n} n!, as n \to \infty, for some constants c, ...
    • 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 ...
    • Combinatòria 

      Noy Serrano, Marcos; Serra Albó, Oriol (Universitat Politècnica de Catalunya, 2000)
      Lecture notes
      Open Access
    • Combinatòria : Problemes 

      Serra Albó, Oriol; Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 1997)
      Lecture notes
      Open Access
    • Combinatòria : Problemes 

      Noy Serrano, Marcos; Serra Albó, Oriol (Universitat Politècnica de Catalunya, 1997)
      Lecture notes
      Open Access
    • Computació algebraica. Problemes 

      Brunat Blay, Josep Maria; Montes, Anton; Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2000)
      Lecture notes
      Open Access
    • Computació algebraica. Problemes 

      Brunat Blay, Josep Maria; Montes, Antón; Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 1994)
      Lecture notes
      Open Access
    • Computació algebraica. Problemes 

      Brunat Blay, Josep Maria; Montes, Anton; Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2002)
      Lecture notes
      Open Access
    • Computació algebraica. Problemes 

      Brunat Blay, Josep Maria; Montes, Anton; Noy Serrano, Marcos (Universitat Politècnica de Catalunya, 2004)
      Lecture notes
      Open Access
    • Counting outerplanar maps 

      Geffner, I.; Noy Serrano, Marcos (2017-04-13)
      Article
      Open Access
      A map is outerplanar if all its vertices lie in the outer face. We enumerate various classes of rooted outerplanar maps with respect to the number of edges and vertices. The proofs involve several bijections with lattice ...
    • Counting polygon dissections in the projective plane 

      Noy Serrano, Marcos; Rué Perna, Juan José (2008-10)
      Article
      Open Access
      For each value of k ≥ 2, we determine the number pn of ways of dissecting a polygon in the projective plane into n subpolygons with k + 1 sides each. In particular, if k = 2 we recover a result of Edelman and Reiner (1997) ...