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20092022
most citedCauchy-Stieltjes families with polynomial variance functions and generalized orthogonality

17 citations · 62 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.CO2022

Quadratic embedding constants of path graphs

Wojciech Młotkowski

We characterize positive definiteness for some family of matrices. As an application we derive explicit value of the quadratic embedding constants of the path graphs.

math.CO2019

Some relatives of the Catalan sequence

Elżbieta Liszewska, Wojciech Młotkowski

We study a family of sequences , where and are real parameters. We find a sufficient condition for positive definiteness of the sequen…

math.CO2019

Permutations of type with fixed number of descents and minus signs

Katarzyna Kril, Wojciech Młotkowski

We study three dimensional array of numbers , , where is the number of type permutations of order with descents and minus signs.…

math.CO2018★ 3 cited

On Quadratic Embedding Constants of Star Product Graphs

Wojciech Młotkowski, Nobuaki Obata

A connected graph is of QE class if it admits a quadratic embedding in a Hilbert space, or equivalently if the distance matrix is conditionally negative definite, or equivalent…

math.CO2015

New Eulerian numbers of type D

Anna Borowiec, Wojciech Młotkowski

We introduce a new array of type Eulerian numbers, different from that studied by Brenti, Chow and Hyatt. We find in particular the recurrence relation, Worpitzky formula and t…

math.CO2010★ 5 cited

Semigroups of distributions with linear Jacobi parameters

Michael Anshelevich, Wojciech Młotkowski

We show that a convolution semigroup of measures has Jacobi parameters polynomial in the convolution parameter if and only if the measures come from the Meixner class. Moreover…