11 citations · 57 across the 33 of their papers we have counts for
5 papers · 1 filter
Enumeration by kernel positions for strongly Bernoulli type truncation games on words
Gábor Hetyei
We find the winning strategy for a class of truncation games played on words. As a consequence of the present author's recent results on some of these games we obtain new formulas…
Relative Tutte Polynomials for Colored Graphs and Virtual Knot Theory
Yuanan Diao, Gabor Hetyei
We introduce the concept of a relative Tutte polynomial of colored graphs. We show that this relative Tutte polynomial can be computed in a way similar to the classical spanning tr…
Shifted Jacobi polynomials and Delannoy numbers
Gábor Hetyei
We express a weighted generalization of the Delannoy numbers in terms of shifted Jacobi polynomials. A specialization of our formulas extends a relation between the central Delanno…
Meixner polynomials of the second kind and quantum algebras representing su(1,1)
Gábor Hetyei
We show how Viennot's combinatorial theory of orthogonal polynomials may be used to generalize some recent results of Sukumar and Hodges on the matrix entries in powers of certain…
The poset of bipartitions
Gábor Hetyei, Christian Krattenthaler
Bipartitional relations were introduced by Foata and Zeilberger in their characterization of relations which give rise to equidistribution of the associated inversion statistic and…