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11/30/2022
(No) Quantum space-time tradeoff for USTCON
Undirected st-connectivity is important both for its applications in net...
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11/29/2022
Elfs, trees and quantum walks
We study an elementary Markov process on graphs based on electric flow s...
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11/17/2022
A (simple) classical algorithm for estimating Betti numbers
We describe a simple algorithm for estimating the k-th normalized Betti ...
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09/26/2022
Hamiltonian Monte Carlo for efficient Gaussian sampling: long and random steps
Hamiltonian Monte Carlo (HMC) is a Markov chain algorithm for sampling f...
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01/14/2022
Cut query algorithms with star contraction
We study the complexity of determining the edge connectivity of a simple...
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12/23/2021
Quadratic speedup for spatial search by continuous-time quantum walk
Continuous-time quantum walks provide a natural framework to tackle the ...
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11/02/2021
Finding the KT partition of a weighted graph in near-linear time
In a breakthrough work, Kawarabayashi and Thorup (J. ACM'19) gave a near...
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10/29/2021
A sublinear time quantum algorithm for s-t minimum cut on dense simple graphs
An s-t minimum cut in a graph corresponds to a minimum weight subset of ...
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02/15/2021
Testing properties of signed graphs
In graph property testing the task is to distinguish whether a graph sat...
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11/19/2020
Quantum query complexity of edge connectivity
The edge connectivity of a simple graph is the least number of edges who...
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12/09/2019
A Unified Framework of Quantum Walk Search
The main results on quantum walk search are scattered over different, in...
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11/17/2019
Quantum Speedup for Graph Sparsification, Cut Approximation and Laplacian Solving
Graph sparsification underlies a large number of algorithms, ranging fro...
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07/04/2019
Expansion Testing using Quantum Fast-Forwarding and Seed Sets
Expansion testing aims to decide whether an n-node graph has expansion a...
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04/25/2019
Quantum Walk Sampling by Growing Seed Sets
This work describes a new algorithm for creating a superposition over th...
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11/16/2017