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math.CO2022
A note on directed analogues of the Sidorenko and forcing conjectures
Jacob Fox, Zoe Himwich, Nitya Mani +1
We study analogues of Sidorenko's conjecture and the forcing conjecture in oriented graphs, showing that natural variants of these conjectures in directed graphs are equivalent to…
math.PR2022★ 3 cited
A fourth moment phenomenon for asymptotic normality of monochromatic subgraphs
Sayan Das, Zoe Himwich, Nitya Mani
Given a graph sequence and a simple connected subgraph , we denote by the number of monochromatic copies of in a uniformly random vertex colorin…
math.CO2022
Extremal results on feedback arc sets in digraphs
Jacob Fox, Zoe Himwich, Nitya Mani
A directed graph is oriented if it can be obtained by orienting the edges of a simple, undirected graph. For an oriented graph , let denote the size of a minimum feedback…