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20002026
most citedQuantum attacks on Bitcoin, and how to protect against them

225 citations

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40 papers · 1 filter

cs.DS2026

Buy-at-Bulk Facility Location on Trees

Shamisa Nematollahi, Daniel Vaz

We consider the buy-at-bulk facility location problem (BBFL), a problem combining the classic facility location problem with buy-at-bulk network design, which finds motivation in t…

cs.DS2025

A Logic-based Algorithmic Meta-Theorem for Treedepth: Single Exponential FPT Time and Polynomial Space

Benjamin Bergougnoux, Vera Chekan, Giannos Stamoulis

For a graph , the parameter treedepth measures the minimum depth among all forests , called elimination forests, such that is a subgraph of the ancestor-descendant closur…

cs.DS2024

Quasilinear-time eccentricities computation, and more, on median graphs

Pierre Bergé, Guillaume Ducoffe, Michel Habib

Computing the diameter, and more generally, all eccentricities of an undirected graph is an important problem in algorithmic graph theory and the challenge is to identify graph cla…

cs.DS2024★ 1 cited

Canadian Traveller Problems in Temporal Graphs

Thomas Bellitto, Johanne Cohen, Bruno Escoffier +2

This paper formalises the Canadian Traveller problem as a positional two-player game on graphs. We consider two variants depending on whether an edge is blocked. In the locally-inf…

cs.DS2024

Practical Computation of Graph VC-Dimension

David Coudert, Mónika Csikós, Guillaume Ducoffe +1

For any set system , a subset is called \emph{shattered} if every results from the intersection of with some set in…

cs.DS2024

On computing approximate Lewis weights

Simon Apers, Sander Gribling, Aaron Sidford

In this note we provide and analyze a simple method that given an matrix, outputs approximate -Lewis weights, a natural measure of the importance of the rows w…

cs.DS2024

Holey graphs: very large Betti numbers are testable

Dániel Szabó, Simon Apers

We show that the graph property of having a (very) large -th Betti number for constant is testable with a constant number of queries in the dense graph model. More spe…

cs.DS2023★ 1 cited

On the Length of Strongly Monotone Descending Chains over

Sylvain Schmitz, Lia Schütze

A recent breakthrough by Künnemann, Mazowiecki, Schütze, Sinclair-Banks, and Wegrzycki (ICALP, 2023) bounds the running time for the coverability problem in -dimensional vector…

cs.DS2023★ 2 cited

Matroid-Constrained Vertex Cover

Chien-Chung Huang, François Sellier

In this paper, we introduce the problem of Matroid-Constrained Vertex Cover: given a graph with weights on the edges and a matroid imposed on the vertices, our problem is to choose…

cs.DS2023

A Note on the Complexity of Maximizing Temporal Reachability via Edge Temporalisation of Directed Graphs

Alkida Balliu, Filippo Brunelli, Pierluigi Crescenzi +2

A temporal graph is a graph in which edges are assigned a time label. Two nodes u and v of a temporal graph are connected one to the other if there exists a path from u to v with i…

cs.DS2022★ 1 cited

Minimum-Cost Temporal Walks under Waiting-Time Constraints in Linear Time

Filippo Brunelli, Laurent Viennot

In a temporal graph, each edge is available at specific points in time. Such an availability point is often represented by a ''temporal edge'' that can be traversed from its tail o…

cs.DS2022★ 9 cited

A (simple) classical algorithm for estimating Betti numbers

Simon Apers, Sander Gribling, Sayantan Sen +1

We describe a simple algorithm for estimating the -th normalized Betti number of a simplicial complex over elements using the path integral Monte Carlo method. For a general…

cs.DS2021★ 10 cited

A Simple Algorithm for Graph Reconstruction

Claire Mathieu, Hang Zhou

How efficiently can we find an unknown graph using distance queries between its vertices? We assume that the unknown graph is connected, unweighted, and has bounded degree. The goa…

cs.DS2021★ 1 cited

Approximating Sparsest Cut in Low-Treewidth Graphs via Combinatorial Diameter

Parinya Chalermsook, Matthias Kaul, Matthias Mnich +3

The fundamental sparsest cut problem takes as input a graph together with the edge costs and demands, and seeks a cut that minimizes the ratio between the costs and demands acr…

cs.DS2021

A PTAS for Capacitated Vehicle Routing on Trees

Claire Mathieu, Hang Zhou

We give a polynomial time approximation scheme (PTAS) for the unit demand capacitated vehicle routing problem (CVRP) on trees, for the entire range of the tour capacity. The result…

cs.DS2021★ 13 cited

EPTAS and Subexponential Algorithm for Maximum Clique on Disk and Unit Ball Graphs

Marthe Bonamy, Édouard Bonnet, Nicolas Bousquet +6

A (unit) disk graph is the intersection graph of closed (unit) disks in the plane. Almost three decades ago, an elegant polynomial-time algorithm was found for \textsc{Maximum Cliq…

cs.DS2021

Subquadratic-time algorithm for the diameter and all eccentricities on median graphs

Pierre Bergé, Guillaume Ducoffe, Michel Habib

On sparse graphs, Roditty and Williams [2013] proved that no -time algorithm achieves an approximation factor smaller than for the diameter prob…

cs.DS2021

Probabilistic Analysis of Euclidean Capacitated Vehicle Routing

Claire Mathieu, Hang Zhou

We give a probabilistic analysis of the unit-demand Euclidean capacitated vehicle routing problem in the random setting, where the input distribution consists of unit-demand cu…

cs.DS2021★ 1 cited

Diameter, radius and all eccentricities in linear time for constant-dimension median graphs

Pierre Bergé, Michel Habib

Median graphs form the class of graphs which is the most studied in metric graph theory. Recently, Bénéteau et al. [2019] designed a linear-time algorithm computing both the -cl…

cs.DS2021★ 3 cited

Decomposable Submodular Function Minimization via Maximum Flow

Kyriakos Axiotis, Adam Karczmarz, Anish Mukherjee +2

This paper bridges discrete and continuous optimization approaches for decomposable submodular function minimization, in both the standard and parametric settings. We provide impro…

cs.DS2021

On Computing Pareto Optimal Paths in Weighted Time-Dependent Networks

Filippo Brunelli, Pierluigi Crescenzi, Laurent Viennot

A weighted point-availability time-dependent network is a list of temporal edges, where each temporal edge has an appearing time value, a travel time value, and a cost value. In th…

cs.DS2020★ 5 cited

Large Very Dense Subgraphs in a Stream of Edges

Claire Mathieu, Michel de Rougemont

We study the detection and the reconstruction of a large very dense subgraph in a social graph with nodes and edges given as a stream of edges, when the graph follows a pow…

cs.DS2020★ 42 cited

Intermittent Inverse-Square Lévy Walks are Optimal for Finding Targets of All Sizes

Brieuc Guinard, Amos Korman

Lévy walks are random walk processes whose step-lengths follow a long-tailed power-law distribution. Due to their abundance as movement patterns of biological organisms, significan…

cs.DS2019

Graph modification for edge-coloured and signed graph homomorphism problems: parameterized and classical complexity

Florent Foucaud, Hervé Hocquard, Dimitri Lajou +2

We study the complexity of graph modification problems with respect to homomorphism-based colouring properties of edge-coloured graphs. A homomorphism from edge-coloured graph …