M. Tyaglov

activity

20092024

most citedStructured matrices, continued fractions, and root localization of polynomials

41 citations · 121 across the 22 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.CO2023

Integral Laplacian graphs with a unique double Laplacian eigenvalue, II

Abdul Hameed, Mikhail Tyaglov

The set $S_{{i, j}_{n}^{m}} = {0, 1, 2, \dots, m - 1, m, m, m + 1, \dots, n - 1, n} ∖ {i, j}, 0 < i < j ⩽ n$ , is called Laplacian realizable if there exists a simple connected gr…

math.CA2023

A generalized Hermite-Biehler theorem

Rostyslav Kozhan, Mikhail Tyaglov

The classical Hermite-Biehler theorem describes possible zero sets of complex linear combinations of two real polynomials whose zeros strictly interlace. We provide the full charac…