17 citations · 62 across the 14 of their papers we have counts for
6 papers · 1 filter
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.
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…
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.…
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…
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…
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…