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- Kenes Beketayev, Damir Yeliussizov, Dmitriy Morozov, Gunther H. Weber, Bernd Hamann
- Topological Methods in Data Analysis and…
- 2014

Merge trees represent the topology of scalar functions. To assess the topo-logical similarity of functions, one can compare their merge trees. To do so, one needs a notion of a distance between merge trees, which we define. We provide examples of using our merge tree distance and compare this new measure to other ways used to characterize topological… (More)

- D. Yeliussizov, A. Tuyakbayev, A. Akshabayev
- 2009 International Conference on Application of…
- 2009

In this paper are considered existing multi-touch technologies, pointed main problems of the development and observed one of the new existing approaches of fingertip detection and touch detection algorithm is given.

- Askar Dzhumadil’daev, Damir Yeliussizov
- 2013

We establish an analog of Faulhaber's theorem for a power sum of binomial coefficients. We study reciprocal power sums of binomial coefficients and Faulhaber coefficients for a power sum of triangular numbers.

Catalan numbers arise in many enumerative contexts as the counting sequence of combinatorial structures. In this work, we consider natural Markov chains on some of the realizations of the Catalan sequence. While our main result is in deriving an O(n 2 log n) bound on the mixing time in L2 (and hence total variation) distance for the random transposition… (More)

- Askar Dzhumadil'daev, Damir Yeliussizov
- Electr. J. Comb.
- 2015

We describe the relation between graph decompositions into walks and the normal ordering of differential operators in the n-th Weyl algebra. Under several specifications , we study new types of restricted set partitions, and a generalization of Stirling numbers, which we call the λ-Stirling numbers.

- Askar Dzhumadil'daev, Damir Yeliussizov
- Eur. J. Comb.
- 2014

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