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Navigating the quantum computing threat landscape for blockchains: A comprehensive survey
Quantum computers pose a significant threat to blockchain technology's security, which
heavily relies on public-key cryptography and hash functions. The cryptographic algorithms …
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
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 …
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
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 …
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
We study quantum algorithms for several fundamental string problems, including Longest
Common Substring, Lexicographically Minimal String Rotation, and Longest Square …
Common Substring, Lexicographically Minimal String Rotation, and Longest Square …
Sparsifying distributed algorithms with ramifications in massively parallel computation and centralized local computation
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 …
improvements that go past known barriers in two algorithmic settings of large-scale graph …
Near-optimal massively parallel graph connectivity
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 …
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
We present the first conditional hardness results for massively parallel algorithms for some
central graph problems including (approximating) maximum matching, vertex cover …
central graph problems including (approximating) maximum matching, vertex cover …
Faster algorithms for edge connectivity via random 2-out contractions
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 …
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
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 …
(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
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 …
Constant-Factor Approximation of Near-Linear Edit Distance in Near-Linear Time Joshua …