activity
20222025
most citedTurán Problems for Mixed Graphs

2 citations · 2 across the 7 of their papers we have counts for

collaborators

8 papers

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…

cs.DS2024

Counterexamples to a Weitz-Style Reduction for Multispin Systems

Kuikui Liu, Nitya Mani, Francisco Pernice

In a seminal paper, Weitz showed that for two-state spin systems, such as the Ising and hardcore models from statistical physics, correlation decay on trees implies correlation dec…

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…

cs.DS2024

Random local access for sampling k-SAT solutions

Dingding Dong, Nitya Mani

We present a sublinear time algorithm that gives random local access to the uniform distribution over satisfying assignments to an arbitrary k-SAT formula , at exponential claus…

math.MG2024

Clustering in typical unit-distance avoiding sets

Alex Cohen, Nitya Mani

In the 1960s Moser asked how dense a subset of can be if no pairs of points in the subset are exactly distance 1 apart. There has been a long line of work showing up…

math.PR2024

Characterizing the fourth-moment phenomenon of monochromatic subgraph counts via influences

Nitya Mani, Dan Mikulincer

We investigate the distribution of monochromatic subgraph counts in random vertex -colorings of large graphs. We give sufficient conditions for the asymptotic normality of these…

math.PR2024

Multidisperse Random Sequential Adsorption and Generalizations

Roger Fan, Nitya Mani

In this paper, we present a unified study of the limiting density in one-dimensional random sequential adsorption (RSA) processes where segment lengths are drawn from a given distr…

math.CO2022★ 2 cited

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 coeffic…