Submitted

  1. Yuval Filmus, Esty Kelman, H. Hatami, Kaave Hosseini, A generalization of the Kelley-Meka theorem to binary systems of linear forms, submitted. [arXiv]

  2. Manasseh Ahmed, Tsun-Ming Cheung, H. Hatami, Kusha Sareeni, Discrepancy and communication complexity of halfplanes, submitted.

  3. Nader H. Bshouty, Tsun-Ming Cheung, Gergely Harcos, H. Hatami, Anthony Ostuni, A tight lower bound on non-adaptive group testing estimation, submitted.

  4. H. Hatami, Kaave Hosseini, Shachar Lovett, Anthony Ostuni, Refuting approaches to the log-rank conjecture for XOR functions, submitted.

  5. Tsun-Ming Cheung, H. Hatami, Rosie Zhao, Itai Zilberstein, Boolean functions with small approximate spectral norm, submitted. [ECCC]

  6. Stefan Grosser, H. Hatami, Peter Nelson, Sergey Norin, Typical structure of hereditary properties of binary matroids, submitted. [arXiv]

  7. H. Hatami, Yingjie Qian, The Unbounded-Error Communication Complexity of symmetric XOR functions, submitted. [arXiv]

Published

  1. Tsun-Ming Cheung, H. Hatami, Pooya Hatami, Kaave Hosseini, Online Learning and Disambiguations of Partial Concept Classes,
    ICALP 2023: 50th EATCS International Colloquium on Automata, Languages and Programming. [ArXiv] (Best Paper Award)

  2. H. Hatami, Kaave Hosseini, Xiang Ming, A Borsuk-Ulam lower bound for sign-rank and its applications,
    STOC 2023: 55th Annual ACM Symposium on Theory of Computing (2023). [ECCC]

  3. Tsun-Ming Cheung, H. Hatami, Pooya Hatami, Kaave Hosseini, Morgan Shirley, Separation of the factorization norm and randomized communication complexity,
    CCC 2023: Computational Complexity Conference [ECCC]

  4. H. Hatami and Pooya Hatami, The Implicit Graph Conjecture is False,
    FOCS 2022: 63rd IEEE Annual Symposium on Foundations of Computer Science (2022). [arXiv]

  5. Lianna Hambardzumyan, H. Hatami, Pooya Hatami, Dimension-free Bounds and Structural Results in Communication Complexity,
    Israel Journal of Mathematics (2022). [ECCC]

  6. H. Hatami, Pooya Hatami, William Pires, Ran Tao, Rosie Zhao, Lower bound methods for sign-rank and their limitations,
    APPROX-RANDOM 2022: In Approximation, randomization, and combinatorial optimization. algorithms 245 (2022), 22:1–22:24 [ECCC]

  7. Lianna Hambardzumyan, H. Hatami, Pooya Hatami, A counter-example to the probabilistic universal graph conjecture via randomized communication complexity,
    Discrete Appl. Math. 322 (2022), 117–122. [arXiv]

  8. Ben Davis, Hamed Hatami, Ran Tao, William Pires, Hamza Usmani, On public-coin zero-error randomized communication complexity,
    Information Processing Letters (2022) [ECCC]

  9. Noah Brustle, Tal Elbaz, Hamed Hatami, Onur Kocer, Bingchan Ma, Approximation algorithms for hitting subgraphs,
    IWOCA 2021: International Workshop on Combinatorial Algorithms. [arXiv]

  10. H. Hatami, Kaave Hosseini, Shachar Lovett, Sign rank vs Discrepancy,
    CCC 2020: Computational Complexity Conference. [ECCC]

  11. Yuval Filmus, Lianna Hambardzumyan, H. Hatami, Pooya Hatami, David Zuckerman, Biasing Boolean Functions and Collective Coin-Flipping Protocols over Arbitrary Product Distributions,
    ICALP 2019, [ECCC]

  12. Lianna Hambardzumyan, H. Hatami, Yingjie Qian, Lower bounds for graph bootstrap percolation via properties of polynomials,
    J. Combin. Theory Ser. A, 174 (2020), 105--253. [arXiv]

  13. H. Hatami, Sergey Norin, On the boundary of the region defined by homomorphism densities,
    Journal of Combinatorics, 10 (2019), no. 2, 203--219. [arXiv]

  14. Yuval Filmus, H. Hatami, Yaqiao Li, Suzin You, Information complexity of the AND function in the two-party and multi-party settings,
    COCOON 2017. [arXiv]

  15. Yuval Dagan, Yuval Filmus, H. Hatami, Yaqiao Li, Trading information complexity for error,
    CCC 2017: Computational Complexity Conference. [arXiv]

  16. H. Hatami, Kaave Hosseini, Shachar Lovett, Structure of protocols for XOR functions,
    FOCS 2016 IEEE Annual Symposium on Foundations of Computer Science. [ECCC]

  17. H. Hatami, Yingjie Qian, Teaching dimension, VC dimension, and critical sets in Latin squares,
    Journal of Combinatorics, 9 (2018), no. 1, 9--20. [arXiv]

  18. H. Hatami, Victoria de Quehen, On the additive bases problem in finite fields,
    Electronic Journal of Combinatorics, 23 (2016), no. 3, Paper 3.33. [arXiv]

  19. H. Hatami, Pooya Hatami, Yaqiao Li, A characterization of functions with vanishing averages over products of disjoint sets,
    European J. Combin. 56 (2016), 81--93. [arXiv]

  20. Yuval Filmus, H. Hatami, Nathan Keller, Noam Lifshitz, On the sum of the L1 influences of bounded functions,
    Israel Journal of Mathematics. (2016), no. 1, 167--192. [arXiv]

  21. H. Hatami, Pooya Hatami, Shachar Lovett, General systems of linear forms: equidistribution and true complexity,
    Advances in Mathematics 292 (2016), 446--477. [arXiv]

  22. H. Hatami, Svante Janson, Balazs Szegedy, Graph properties, graph limits and entropy,
    Journal of Graph Theory. 87 (2018), no. 2, 208--229. [arXiv]

  23. H. Hatami, Laszlo Lovasz, Balazs Szegedy, Limits of local-global convergent graph sequences,
    Geometric and Functional Analysis, 24 (2014), no. 1, 269–296. [arXiv]

  24. H. Hatami, James Hirst, Sergey Norin, The inducibility of blow-up graphs,
    J. Combin. Theory Ser. B 109 (2014), 196–212. [arXiv]

  25. H. Hatami, Shachar Lovett, Estimating the distance from testable affine-invariant properties,
    EEE Annual Symposium on Foundations of Computer Science (FOCS 2013). [arXiv]

  26. Arnab Bhattacharyya, Eldar Fischer, H. Hatami, Pooya Hatami, Shachar Lovett, Every locally characterized affine-invariant property is testable,
    STOC 2013. [arXiv]

  27. H. Hatami, Sergey Norin, The entropy of random-free graphons and properties,
    Combinatorics Probability and Computing, 22 (2013), no. 4, 517–526. [arXiv]

  28. H. Hatami and Shachar Lovett, Correlation testing for affine invariant properties on F_p^n in the high error regime,
    Annual ACM Symposium on Theory of Computing (STOC 2011). [arXiv]

  29. Anil Ada, Omar Fawzi, H. Hatami, Spectral norm of symmetric functions,
    APPROX-RANDOM 2012: 338-349. [arXiv]

  30. H. Hatami, Jan Hladky, Daniel Kral, Sergey Norin, Alexander Razborov, On the number of pentagons in triangle-free graphs,
    J. Combin. Theory Ser. A, 120 (2013), no. 3, 722-732. [arXiv]

  31. H. Hatami, Jan Hladky, Daniel Kral, Serguei Norine, Alexander Razborov, Non-three-colorable common graphs exist,
    Combinatorics Probability and Computing, 21 (2012), no. 5, 734-742. [arXiv]

  32. H. Hatami, A structure theorem for Boolean functions with small total influences,
    Annals of Mathematics, 176 (2012), no. 1, 509–533. [arXiv]

  33. H. Hatami, Shachar Lovett, Higher-order Fourier analysis of F_p^n and the complexity of systems of linear forms,
    Geometric and Functional Analysis, 21 (2011), no. 6, 1331–1357. [arXiv]

  34. H. Hatami, Sergey Norin, Undecidability of linear inequalities in graph homomorphism densities,
    Journal of the American Mathematical Society, 24(2) (2011), 547-565. [arXiv]

Graduate school

  1. H. Hatami, Michael Molloy, The scaling window for a random graph with a given degree sequence ,
    Random Structures & Algorithms , 41 (2012), no. 1, 99–123.
    SODA10 . [ arXiv]

  2. H. Hatami, Graph norms and Sidorenko's conjecture ,
    Israel Journal of Mathematics 175(1) (2010), 125-150. [arXiv]

  3. H. Hatami, Decision trees and influence of variables over product probability spaces,
    Combinatorics Probability and Computing 18 (2009), 357-369. [arXiv]

  4. H. Hatami, Xuding Zhu, The fractional chromatic number of graphs of maximum degree at most three,
    SIAM Journal on Discrete Mathematics 23(4) (2009), 1762-1775.

  5. Mahya Ghandehari, H. Hatami, Nico Spronk, Amenability constants for semilattice algebras,
    Semigroup forum 79(2) (2009), pp. 279-297. [arXiv]

  6. H. Hatami and Michael Molloy, Sharp thresholds for constraint satisfaction problem and graph homomorphisms ,
    Random Structures & Algorithms , 33(3) (2008), pp. 310-332. [arXiv]

  7. Mahya Ghandehari and H. Hatami, Fourier analysis and large independent sets in powers of complete graphs,
    J. Combin. Theory Ser. B 98(1), (2008), pp. 164-172. [arXiv]

  8. H. Hatami, Avner Magen, Vangelis Markakis, Integrality gaps of semidefinite programs for Vertex Cover and relations to $\ell_1$ embeddability of Negative type metrics,
    SIAM Journal on Discrete Mathematics, 23(1) (2008/09), pp. 178-194. [arXiv]

  9. H. Hatami, A remark on Bourgain's distributional inequality on the Fourier spectrum of Boolean functions,
    Online Journal of Analytic Combinatorics 1 (2006). [download]

  10. H. Hatami, Random cubic graphs are not homomorphic to the cycle of size 7,
    J. Combin. Theory Ser. B 93(2) (2005) pp. 319-325. [arXiv]

  11. H. Hatami, Delta+300 is a bound on the adjacent vertex distinguishing edge chromatic number,
    J. Combin. Theory Ser. B 95(2) (2005) pp. 246-256. [arXiv]

  12. H. Hatami, Pooya Hatami, Perfect dominating sets in the Cartesian products of prime cycles,
    Electronic Journal of Combinatorics 14(8), (2007). [Download]

  13. Peyman Afshani and H. Hatami, Approximation and inapproximability results for maximum clique of disc graphs in high dimensions,
    Information Processing Letters, 105(3), (2008), pp. 83-87. [arXiv]

Undergraduate

  1. Peyman Afshani, Mahsa Ghandehari, Mahya Ghandehari, H. Hatami, Ruzbeh Tusserkani, Xuding Zhu, Circular chromatic index of graphs of maximum degree 3,
    Journal of Graph Theory. 49(4) (2005) pp. 325-335. [arXiv]

  2. H. Hatami, Ruzbeh Tusserkani, On the complexity of the circular chromatic number,
    Journal of Graph Theory. 47(3) (2004) pp. 226-230. [arXiv]

  3. H. Hatami, Hossein Maserrat, On the computational complexity of defining sets,
    Journal of Discrete Applied Mathematics.149(1-3) (2005) pp. 101-110. [arXiv]

  4. Mahya Ghandehari, H. Hatami, E.S. Mahmoodian, On the size of the minimum critical set of a Latin square,
    Journal of Discrete Mathematics. 293(1-3) (2005) pp. 121-127. [arXiv]

  5. Peyman Afshani, H. Hatami, E.S. Mahmoodian, On the size of the spectrum of the forced matching number of graphs,
    Australasian Journal of Combinatorics, 30 (2004) pp. 147-160. [arXiv]

  6. H. Hatami, E.S. Mahmoodian, A lower bound for the size of the largest critical sets in Latin squares,
    Bulletin of the Institute of Combinatorics and its Applications (Canada). 38 (2003) pp.19-22. [arXiv]