A deterministic almost-linear time algorithm for minimum-cost flow

J Van Den Brand, L Chen, R Kyng… - 2023 IEEE 64th …, 2023 - ieeexplore.ieee.org
We give a deterministic m^1+o(1) time algorithm that computes exact maximum flows and
minimum-cost flows on directed graphs with m edges and polynomially bounded integral …

POTA: Privacy-preserving online multi-task assignment with path planning

C Zhang, X Luo, J Liang, X Liu, L Zhu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Privacy-preserving online multi-task assignment is a crucial aspect of spatial crowdsensing
on untrusted platforms, where multiple real-time tasks are allocated to appropriate workers …

A survey on exact algorithms for the maximum flow and minimum‐cost flow problems

O Cruz‐Mejía, AN Letchford - Networks, 2023 - Wiley Online Library
Network flow problems form an important and much‐studied family of combinatorial
optimization problems, with a huge array of practical applications. Two network flow …

Fully dynamic electrical flows: Sparse maxflow faster than Goldberg–Rao

Y Gao, Y Liu, R Peng - SIAM Journal on Computing, 2023 - SIAM
We give an algorithm for computing exact maximum flows on graphs with edges and integer
capacities in the range in time. We use to suppress logarithmic factors in. For sparse graphs …

Faster Vizing and near-Vizing edge coloring algorithms

S Assadi - Proceedings of the 2025 Annual ACM-SIAM …, 2025 - SIAM
Vizing's celebrated theorem states that every simple graph with maximum degree Δ admits a
(Δ+ 1) edge coloring which can be found in O (m· n) time on n-vertex m-edge graphs. This is …

Negative-weight single-source shortest paths in near-linear time

A Bernstein, D Nanongkai… - 2022 IEEE 63rd annual …, 2022 - ieeexplore.ieee.org
We present a randomized algorithm that computes single-source shortest paths (SSSP) in
O\left(m\log^8(n)\logW\right) time when edge weights are integral and can be negative. 1 …

Fast Algorithms for p-Regression

D Adil, R Kyng, R Peng, S Sachdeva - Journal of the ACM, 2024 - dl.acm.org
The-norm regression problem is a classic problem in optimization with wide ranging
applications in machine learning and theoretical computer science. The goal is to compute …

Deterministic min-cut in poly-logarithmic max-flows

J Li, D Panigrahi - 2020 IEEE 61st Annual Symposium on …, 2020 - ieeexplore.ieee.org
We give a deterministic (global) min-cut algorithm for weighted undirected graphs that runs
in time O (m 1+ ε) plus polylog (n) max-flow computations. Using the current best max-flow …

Breaking the cubic barrier for all-pairs max-flow: Gomory-hu tree in nearly quadratic time

A Abboud, R Krauthgamer, J Li… - 2022 IEEE 63rd …, 2022 - ieeexplore.ieee.org
In 1961, Gomory and Hu showed that the All-Pairs Max-Flow problem of computing the max-
flow between all n\2 pairs of vertices in an undirected graph can be solved using only n-1 …

Discrete-convex-analysis-based framework for warm-starting algorithms with predictions

S Sakaue, T Oki - Advances in Neural Information …, 2022 - proceedings.neurips.cc
Augmenting algorithms with learned predictions is a promising approach for going beyond
worst-case bounds. Dinitz, Im, Lavastida, Moseley, and Vassilvitskii~(2021) have …