V. Taranchuk

activity

20162026

most citedA New Lower Bound for van der Waerden Numbers

8 citations · 9 across the 18 of their papers we have counts for

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math.CO2024

A new lower bound for the multicolor Ramsey number $r_{k} (K_{2, t + 1})$

Vladislav Taranchuk

In this short note, we provide a new infinite family of $K_{2, t + 1}$ -free graphs for each prime power $t$ . Using these graphs, we show that it is possible to partition the edges of…

math.CO2024

Large line-free sets and their applications

Jakob Führer, Vladislav Taranchuk

In this paper, we construct explicit families of polynomials $P \in F_{q} [x_{1}, \dots, x_{n}]$ with large root sets which have restricted intersections with affine lines. We use…

A new lower bound for the multicolor Ramsey number rk​(K2,t+1​)

Large line-free sets and their applications

A new lower bound for the multicolor Ramsey number $r_{k} (K_{2, t + 1})$