Determinant formulae for some tiling problems and application to fully packed loops
We present a number of determinant formulae for the number of tilings of various domains in relation with Alternating Sign Matrix and Fully Packed Loop enumeration.
Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions.
Determinantal generating functions of colored spanning forests.
Determinants of matrices related to the Pascal triangle
The aim of this paper is to study determinants of matrices related to the Pascal triangle.
Determining lower bounds for packing densities of non-layered patterns using weighted templates.
Deux propriétés combinatoires des nombres de Schröder
Deux propriétés combinatoires du langage de Lukasiewicz
Diagonal checker-jumping and Eulerian numbers for color-signed permutations.
Diagonal peg solitaire.
Diagonal sums of boxed plane partitions.
Diagonalization and rationalization of algebraic Laurent series
We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is an algebraic power series of degree at most and height at most , where is an effective constant that only depends on...
Diagonals on the permutahedra, multiplihedra and associahedra.
Die Anzahl der primitiven Polytope im ... mit 2 d - 2 Facetten.
Die Kombinationen gegebenen Profils. I
Die Kombinationen gegebenen Profils. II
Die Kombinationen gegebenen Profils. III
Differential equations associated with generalized Bell polynomials and their zeros
In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
Differential equations forp,q-Touchard polynomials
In this paper, we present differential equation for the generating function of the p, q-Touchard polynomials. An application to ordered partitions of a set is investigated.
Direct and elementary approach to enumerate topologies on a finite set.
Discovering hook length formulas by an expansion technique.