Navigating the quantum computing threat landscape for blockchains: A comprehensive survey

H Khodaiemehr, K Bagheri, C Feng - Authorea Preprints, 2023 - techrxiv.org
Quantum computers pose a significant threat to blockchain technology's security, which
heavily relies on public-key cryptography and hash functions. The cryptographic algorithms …

The complexity of (Δ+ 1) coloring in congested clique, massively parallel computation, and centralized local computation

YJ Chang, M Fischer, M Ghaffari, J Uitto… - Proceedings of the 2019 …, 2019 - dl.acm.org
In this paper, we present new randomized algorithms that improve the complexity of the
classic (Δ+ 1)-coloring problem, and its generalization (Δ+ 1)-list-coloring, in three well …

Edit distance in near-linear time: It's a constant factor

A Andoni, NS Nosatzki - 2020 IEEE 61st Annual Symposium on …, 2020 - ieeexplore.ieee.org
We present an algorithm for approximating the edit distance between two strings of length n
in time n 1+ ε, for any, up to a constant factor. Our result completes a research direction set …

Near-optimal quantum algorithms for string problems

S Akmal, C ** - Proceedings of the 2022 Annual ACM-SIAM …, 2022 - SIAM
We study quantum algorithms for several fundamental string problems, including Longest
Common Substring, Lexicographically Minimal String Rotation, and Longest Square …

Sparsifying distributed algorithms with ramifications in massively parallel computation and centralized local computation

M Ghaffari, J Uitto - Proceedings of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
We introduce a method for “sparsifying” distributed algorithms and exhibit how it leads to
improvements that go past known barriers in two algorithmic settings of large-scale graph …

Near-optimal massively parallel graph connectivity

S Behnezhad, L Dhulipala, H Esfandiari… - 2019 IEEE 60th …, 2019 - ieeexplore.ieee.org
Identifying the connected components of a graph, apart from being a fundamental problem
with countless applications, is a key primitive for many other algorithms. In this paper, we …

Conditional hardness results for massively parallel computation from distributed lower bounds

M Ghaffari, F Kuhn, J Uitto - 2019 IEEE 60th Annual Symposium …, 2019 - ieeexplore.ieee.org
We present the first conditional hardness results for massively parallel algorithms for some
central graph problems including (approximating) maximum matching, vertex cover …

Faster algorithms for edge connectivity via random 2-out contractions

M Ghaffari, K Nowicki, M Thorup - Proceedings of the Fourteenth Annual ACM …, 2020 - SIAM
We provide a simple new randomized contraction approach to the global minimum cut
problem for simple undirected graphs. The contractions exploit 2-out edge sampling from …

Quantum meets fine-grained complexity: Sublinear time quantum algorithms for string problems

F Le Gall, S Seddighin - Algorithmica, 2023 - Springer
Longest common substring (LCS), longest palindrome substring (LPS), and Ulam distance
(UL) are three fundamental string problems that can be classically solved in near linear time …

Constant-factor approximation of near-linear edit distance in near-linear time

J Brakensiek, A Rubinstein - Proceedings of the 52nd Annual ACM …, 2020 - dl.acm.org
Constant-Factor Approximation of Near-Linear Edit Distance in Near-Linear Time Page 1
Constant-Factor Approximation of Near-Linear Edit Distance in Near-Linear Time Joshua …