Search Results - almost-linear time algorithms

A Deterministic Almost-Linear Time Algorithm for Minimum-Cost Flow by Brand, Jan Van Den, Chen, Li, Kyng, Rasmus, Liu, Yang P., Peng, Richard, Gutenberg, Maximilian Probst, Sachdeva, Sushant, Sidford, Aaron

“…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 demands, costs, and capacities…”
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Almost-linear time decoding algorithm for topological codes by Delfosse, Nicolas, Nickerson, Naomi H.

“… We design a fast decoding algorithm for topological codes to correct for Pauli errors and erasure and combination of both errors and erasure…”
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Almost-Linear Time Algorithms for Decremental Graphs: Min-Cost Flow and More via Duality by Van Den Brand, Jan, Chen, Li, Kyng, Rasmus, Liu, Yang P., Meierhans, Simon, Gutenberg, Maximilian Probst, Sachdeva, Sushant

“…We give the first almost-linear total time algorithm for deciding if a flow of cost at most F still exists in a directed graph, with edge costs and capacities, undergoing decremental updates, i.e…”
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An almost linear time algorithm testing whether the Markoff graph modulo p is connected by Brown, Colby Austin

“… ] to test whether the Markoff graph modulo p is connected for arbitrary primes. Our algorithm runs in o ( p 1 + ϵ ) time for every ϵ > 0…”
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An almost linear time algorithm for finding Hamilton cycles in sparse random graphs with minimum degree at least three by Frieze, Alan, Haber, Simi

“…We describe an algorithm for finding Hamilton cycles in random graphs. Our model is the random graph G=Gn,mδ≥3…”
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Maximum Flow and Minimum-Cost Flow in Almost-Linear Time by Chen, Li, Kyng, Rasmus, Liu, Yang P., Peng, Richard, Gutenberg, Maximilian Probst, Sachdeva, Sushant

“… This gives almost-linear time algorithms for several problems including entropy-regularized optimal transport, matrix scaling, p-norm flows, and p-norm isotonic…”
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An almost linear time algorithm for field splitting in radiation therapy by Wu, Xiaodong, Dou, Xin, Bayouth, John E., Buatti, John M.

“… We develop a close-to-linear time algorithm for solving the field splitting problem while minimizing the total complexity of the resulting sub-IMs, thus improving the treatment delivery efficiency…”
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Sparsification, Online Optimization, and an Almost-Linear Time Algorithm for Maximum Flow by Liu, Yang

“… By combining new techniques developed in this thesis pertaining to iterative methods, dynamic algorithms, and high-dimensional geometry, we give an almost-linear-time algorithm that computes an exact…”
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Almost Linear Time Algorithms for Problems of Computational Genomics by Kamath, Govinda Mangalore

“…In this thesis we discuss designing fast algorithms for three problems in computational genomics.1. Genome Assembly…”
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An Almost Linear-Time Algorithm for the Dense Subset-Sum Problem by Galil, Zvi, Margalit, Oded

“… The limits and potential of this approach are discussed. The approach yields an algorithm for solving the dense version of the subset-sum problem. It runs in time $O(\ell \log \ell )$, where $\ell…”
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An almost linear time algorithm for a general haplotype solution on tree pedigrees with no recombination and its extensions by Li, Xin, Li, Jing

“… On a tree pedigree without missing data, our algorithm can output a general solution as well as the number of total specific solutions in a nearly linear time O(mn . alpha(n…”
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Deterministic Small Vertex Connectivity in Almost Linear Time by Saranurak, Thatchaphol, Yingchareonthawornchai, Sorrachai

“… to break the quadratic-time barrier and, very recently, culminated in an almost-linear time algorithm via the recently announced maxflow algorithm by Chen et al…”
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Derandomizing Directed Random Walks in Almost-Linear Time by Kyng, Rasmus, Meierhans, Simon, Probst, Maximilian

“… Previous reductions imply the first deterministic almost-linear time algorithms for computing various fundamental quantities on directed graphs including stationary distributions, personalized…”
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Minor Containment and Disjoint Paths in Almost-Linear Time by Korhonen, Tuukka, Pilipczuk, Michal, Stamoulis, Giannos

“…We give an algorithm that, given graphs G and H , tests whether H is a minor of G in time \mathcal{O}_{H}(\overline{n}^{1+o(1…”
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Almost-Linear Time Algorithms for Decremental Graphs: Min-Cost Flow and More via Duality by van den Brand, Jan, Chen, Li, Kyng, Rasmus, Liu, Yang P, Meierhans, Simon, Maximilian Probst Gutenberg, Sachdeva, Sushant

“…We give the first almost-linear total time algorithm for deciding if a flow of cost at most \(F…”
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Maximum Matching in Almost Linear Time on Graphs of Bounded Clique-Width by Ducoffe, Guillaume

“… Our first contribution is an almost linear-time algorithm to compute a maximum matching in any bounded clique-width graph, being given a corresponding clique-width expression…”
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Deterministic Decremental SSSP and Approximate Min-Cost Flow in Almost-Linear Time by Bernstein, Aaron, Gutenberg, Maximilian Probst, Saranurak, Thatchaphol

“…], which leads to our second result: the first almost-linear time algorithm for (1 - E) -approximate min-cost flow in undirected graphs where capacities and costs can be taken over edges and vertices…”
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An almost linear-time algorithm for trapezoidation of GIS polygons by Lorenzetto, Gian Paolo, Datta, Amitava

“…). Trapezoidation is often performed as a first step to triangulation. There is a complex linear-time algorithm [Discrete Comput. Geom. 6 (1991) 485…”
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An almost linear time algorithm testing whether the Markoff graph modulo \(p\) is connected by Colby Austin Brown

“…] to test whether the Markoff graph modulo \(p\) is connected for arbitrary primes. Our algorithm runs in \(o(p^{1 + \epsilon})\) time for every \(\epsilon > 0…”
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A Deterministic Almost-Linear Time Algorithm for Minimum-Cost Flow by van den Brand, Jan, Chen, Li, Kyng, Rasmus, Liu, Yang P, Peng, Richard, Maximilian Probst Gutenberg, Sachdeva, Sushant, Sidford, Aaron

“…We give a deterministic \(m^{1+o(1)}\) time algorithm that computes exact maximum flows and minimum-cost flows on directed graphs with \(m…”
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