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math.CO2025
New Sidorenko-type inequalities in tournaments
Xiaoyu He, Nitya Mani, Jiaxi Nie +2
As a directed analog of Sidorenko's conjecture in extremal graph theory, Fox, Himwich, Zhou, and the second author defined an oriented graph to be tournament Sidorenko (anti-Si…
math.CO2024
On monochromatic solutions to linear equations over the integers
Dingding Dong, Nitya Mani, Huy Tuan Pham +1
We study the number of monochromatic solutions to linear equations in a -coloring of . We show that any nontrivial linear equation has a constant fraction of sol…
math.CO2024
Turán Problems for Mixed Graphs
Nitya Mani, Edward Yu
We investigate natural Turán problems for mixed graphs, generalizations of graphs where edges can be either directed or undirected. We study a natural \textit{Turán density coeff…