Tootfinder

Finally, heading to #MobileTartu2024 #MobileTartu! I was supposed to go in 2020, but we all know what happened ;) Keynotes and panel discussions available to all online at

This https://arxiv.org/abs/2312.02691 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Edge coloring of products of signed graphs
In 2020, Behr defined the problem of edge coloring of signed graphs and showed that every signed graph $(G, σ)$ can be colored using exactly $Δ(G)$ or $Δ(G) + 1$ colors, where $Δ(G)$ is the maximum degree in graph $G$. In this paper, we focus on products of signed graphs. We recall the definitions of the Cartesian, tensor, strong, and corona products of signed graphs and prove results for them. In particular, we show that $(1)$ the Cartesian product of $Δ$-edge-colorable signed graphs is…

This https://arxiv.org/abs/2401.03618 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On sharp variational inequalities for oscillatory integral operators of Stein-Wainger type
For any integer $n \geq 2$, we establish $L^p(\R^n)$ inequalities for the $r$-variations of Stein-Wainger type oscillatory integral operators with general radial phase functions. These inequalities closely related to Carleson's theorem are sharp, up to endpoints. In particular, when the phase function is chosen as $|t|^\A$ with $\A\in (0,1)$, our results provide an affirmative answer to a question posed in Guo-Roos-Yung (Anal. PDE, 2020). In pursuit of the objective, we use an approac…