Log-concave polynomials II: high-dimensional walks and an FPRAS for counting bases of a matroid N Anari, K Liu, SO Gharan, C Vinzant Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, 1-12, 2019 | 120 | 2019 |

Monte Carlo Markov chain algorithms for sampling strongly Rayleigh distributions and determinantal point processes N Anari, SO Gharan, A Rezaei Conference on Learning Theory, 103-115, 2016 | 112 | 2016 |

Spectral independence in high-dimensional expanders and applications to the hardcore model N Anari, K Liu, SO Gharan SIAM Journal on Computing, FOCS20-1-FOCS20-37, 2021 | 77 | 2021 |

Nash social welfare for indivisible items under separable, piecewise-linear concave utilities N Anari, T Mai, SO Gharan, VV Vazirani Proceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete …, 2018 | 71 | 2018 |

Log-concave polynomials I: entropy, and a deterministic approximation algorithm for counting bases of matroids N Anari, SO Gharan, C Vinzant arXiv preprint arXiv:1807.00929, 2018 | 68 | 2018 |

Effective-resistance-reducing flows, spectrally thin trees, and asymmetric TSP N Anari, SO Gharan 2015 IEEE 56th Annual Symposium on Foundations of Computer Science, 20-39, 2015 | 67 | 2015 |

Nash social welfare, matrix permanent, and stable polynomials N Anari, SO Gharan, A Saberi, M Singh arXiv preprint arXiv:1609.07056, 2016 | 65 | 2016 |

Mechanism design for crowdsourcing: An optimal 1-1/e competitive budget-feasible mechanism for large markets N Anari, G Goel, A Nikzad 2014 IEEE 55th Annual Symposium on Foundations of Computer Science, 266-275, 2014 | 65 | 2014 |

Equilibrium pricing with positive externalities N Anari, S Ehsani, M Ghodsi, N Haghpanah, N Immorlica, H Mahini, ... International Workshop on Internet and Network Economics, 424-431, 2010 | 43* | 2010 |

Batch active learning using determinantal point processes E Bıyık, K Wang, N Anari, D Sadigh arXiv preprint arXiv:1906.07975, 2019 | 40* | 2019 |

A generalization of permanent inequalities and applications in counting and optimization N Anari, SO Gharan Advances in Mathematics 383, 107657, 2021 | 39* | 2021 |

Log-concave polynomials III: Mason's ultra-log-concavity conjecture for independent sets of matroids N Anari, K Liu, SO Gharan, C Vinzant arXiv preprint arXiv:1811.01600, 2018 | 38 | 2018 |

The Kadison-Singer problem for strongly Rayleigh measures and applications to Asymmetric TSP N Anari, SO Gharan arXiv preprint arXiv:1412.1143, 2014 | 36 | 2014 |

Robust submodular maximization: Offline and online algorithms N Anari, N Haghtalab, J Naor, S Pokutta, M Singh, A Torrico | 32* | 2017 |

Graph clustering using effective resistance VL Alev, N Anari, LC Lau, SO Gharan arXiv preprint arXiv:1711.06530, 2017 | 31 | 2017 |

Entropic independence I: modified log-Sobolev inequalities for fractionally log-concave distributions and high-temperature Ising models N Anari, V Jain, F Koehler, HT Pham, TD Vuong arXiv e-prints, arXiv: 2106.04105, 2021 | 27* | 2021 |

Fractionally log-concave and sector-stable polynomials: counting planar matchings and more Y Alimohammadi, N Anari, K Shiragur, TD Vuong Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing …, 2021 | 26 | 2021 |

Planar graph perfect matching is in NC N Anari, VV Vazirani Journal of the ACM (JACM) 67 (4), 1-34, 2020 | 23 | 2020 |

Simply exponential approximation of the permanent of positive semidefinite matrices N Anari, L Gurvits, SO Gharan, A Saberi 2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS …, 2017 | 22 | 2017 |

Log-concave polynomials IV: approximate exchange, tight mixing times, and near-optimal sampling of forests N Anari, K Liu, SO Gharan, C Vinzant, TD Vuong Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing …, 2021 | 19* | 2021 |