Results 61 to 70 of about 120 (120)

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

Annales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +1 more source

Pattern Avoidance in Weak Ascent Sequences [PDF]

Discrete Mathematics & Theoretical Computer Science
In this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingr\'imsson (2011) for ascent sequences. More precisely, we provide systematically
Beáta Bényi, Toufik Mansour, José L. Ramírez   +2 more
doaj   +1 more source

Interval and $\ell$-interval Rational Parking Functions [PDF]

Discrete Mathematics & Theoretical Computer Science
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions with $n$ cars and $m\geq n$ parking spots, which we call interval ...
Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia, Kimberly P. Hadaway, Pamela E. Harris, Kimberly J. Harry, Imhotep B. Hogan, Jakeyl Johnson, Jan Kretschmann, Kobe Lawson-Chavanu, J. Carlos Martínez Mori, Casandra D. Monroe, Daniel Quiñonez, Dirk Tolson III, Dwight Anderson Williams II   +14 more
doaj   +1 more source

Piecewise-linear promotion and RSK in rectangles and moon polyominoes [PDF]

We study piecewise-linear and birational lifts of Schützenberger promotion, evacuation, and the RSK correspondence defined in terms of toggles. Using this perspective, we prove that certain chain statistics in rectangles shift predictably under the ...
Liu, Ricky Ini, Johnson, Joseph
core   +1 more source

Combinatorial formulas for shifted dual stable Grothendieck polynomials

Forum of Mathematics, Sigma
The K-theoretic Schur P- and Q-functions $G\hspace {-0.2mm}P_\lambda $ and $G\hspace {-0.2mm}Q_\lambda $ may be concretely defined as weight-generating functions for semistandard shifted set-valued tableaux.
Joel Lewis, Eric Marberg
doaj   +1 more source

On the proportion of derangements in affine classical groups

Forum of Mathematics, Sigma
We derive exact formulas for the proportions of derangements and of derangements of p-power order in the affine classical groups $\operatorname {\mathrm {AU}}_m(q)$ , $\operatorname {\mathrm {ASp}}_{2m}(q)$ , $\operatorname {\mathrm {AO ...
Jessica Anzanello
doaj   +1 more source

The derivation of cycle index of Sn[3]

, 2004
WE evaluate the cycle index polynomial of the reduced triple group Sn[3]. We also use similar techniques to derive the cycle index polynomial of the triple group Sn(3) which had earlier been found by Oberschelp (see Palmer [8] who has also given an ...
Kamuti, IN, Obon’go, JO
core  

Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity

Forum of Mathematics, Sigma
Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
doaj   +1 more source

Slit-slide-sew bijections for oriented planar maps

We construct growth bijections for bipolar oriented planar maps and for Schnyder woods. These give direct combinatorial proofs of several counting identities for these objects. Our method mainly uses two ingredients.
Éric Fusy, Jérémie Bettinelli, Baptiste Louf   +2 more
core   +1 more source

Colored multiset Eulerian polynomials [PDF]

Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satisfy well-studied distributional properties including real-rootedness, log ...
Solus, Liam, Deligeorgaki, Danai, Han, Bin   +2 more
core   +1 more source