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We study the problem of deleting a minimum cost set of vertices from a given vertex-weighted graph in such a way that the resulting graph has no induced path on three vertices. This problem is often called cluster vertex deletion in the…

Data Structures and Algorithms · Computer Science 2019-02-25 Samuel Fiorini , Gwenaël Joret , Oliver Schaudt

We study the parameterized complexity of various classic vertex-deletion problems such as Odd cycle transversal, Vertex planarization, and Chordal vertex deletion under hybrid parameterizations. Existing FPT algorithms for these problems…

Data Structures and Algorithms · Computer Science 2022-07-19 Bart M. P. Jansen , Jari J. H. de Kroon , Michał Włodarczyk

The max-k-cut problem is to partition the vertices of a weighted graph $G = (V,E)$ into $k\geq2$ disjoint subsets such that the weight sum of the edges crossing the different subsets is maximized. The problem is referred as the max-cut…

Discrete Mathematics · Computer Science 2015-11-02 Fuda Ma , Jin-Kao Hao

Minimum vertex cover problem is an NP-Hard problem with the aim of finding minimum number of vertices to cover graph. In this paper, a learning automaton based algorithm is proposed to find minimum vertex cover in graph. In the proposed…

Artificial Intelligence · Computer Science 2013-12-02 Aylin Mousavian , Alireza Rezvanian , Mohammad Reza Meybodi

Increasing luminosity at the Large Hadron Collider (LHC) poses a challenge for primary vertex reconstruction in the ATLAS experiment. A rate of 70 or more inelastic proton-proton collisions per beam crossing was observed during the…

High Energy Physics - Experiment · Physics 2019-10-21 Izaac Sanderswood

Hypergraph partitioning has a wide range of important applications such as VLSI design or scientific computing. With focus on solution quality, we develop the first multilevel memetic algorithm to tackle the problem. Key components of our…

Data Structures and Algorithms · Computer Science 2018-02-06 Robin Andre , Sebastian Schlag , Christian Schulz

The hypergraph minimum cut problem aims to partition its vertices into two blocks while minimizing the total weight of the cut hyperedges. This fundamental problem arises in network reliability, VLSI design, and community detection. We…

Data Structures and Algorithms · Computer Science 2025-05-01 Adil Chhabra , Christian Schulz , Bora Uçar , Loris Wilwert

We present near-optimal algorithms for detecting small vertex cuts in the CONGEST model of distributed computing. Despite extensive research in this area, our understanding of the vertex connectivity of a graph is still incomplete,…

Data Structures and Algorithms · Computer Science 2023-06-21 Merav Parter , Asaf Petruschka

We consider the minimum-cut partitioning of a graph into more than two parts using spectral methods. While there exist well-established spectral algorithms for this problem that give good results, they have traditionally not been well…

Data Structures and Algorithms · Computer Science 2014-08-04 Maria A. Riolo , M. E. J. Newman

We consider a natural generalization of the Partial Vertex Cover problem. Here an instance consists of a graph G = (V,E), a positive cost function c: V-> Z^{+}, a partition $P_1,..., P_r$ of the edge set $E$, and a parameter $k_i$ for each…

Data Structures and Algorithms · Computer Science 2015-03-19 Suman Kalyan Bera , Shalmoli Gupta , Amit Kumar , Sambuddha Roy

The PHOBOS experiment at the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory is studying interactions of heavy nuclei at the largest energies available in the laboratory. The high multiplicity of particles created…

Nuclear Experiment · Physics 2019-08-14 K. Wozniak

Typical vertex finding algorithms use reconstructed tracks, registered in a multi-layer detector, which directly point to the common point of origin. A detector with a single layer of silicon sensors registers the passage of primary…

Nuclear Experiment · Physics 2008-11-26 E. Garcia , R. S. Hollis , A. Olszewski , I. C. Park , M. Reuter , G. Roland , P. Steinberg , K. Wozniak , A. H. Wuosmaa

Partitioning a graph into blocks of roughly equal weight while cutting only few edges is a fundamental problem in computer science with numerous practical applications. While shared-memory parallel partitioners have recently matured to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-06 Peter Sanders , Daniel Seemaier

Hypergraph partitioning is an NP-hard problem that occurs in many computer science applications where it is necessary to reduce large problems into a number of smaller, computationally tractable sub-problems. Current techniques use a…

Neural and Evolutionary Computing · Computer Science 2022-12-06 Richard J. Preen , Jim Smith

We present a shared-memory algorithm to compute high-quality solutions to the balanced $k$-way hypergraph partitioning problem. This problem asks for a partition of the vertex set into $k$ disjoint blocks of bounded size that minimizes the…

Data Structures and Algorithms · Computer Science 2021-04-19 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Sebastian Schlag

A novel combination of established data analysis techniques for reconstructing all charged-particle tracks in high energy collisions is proposed. It uses all information available in a collision event while keeping competing choices open as…

Data Analysis, Statistics and Probability · Physics 2018-07-02 Ferenc Siklér

Three-dimensional particle reconstruction with limited two-dimensional projections is an under-determined inverse problem that the exact solution is often difficult to be obtained. In general, approximate solutions can be obtained by…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Qi Gao , Shaowu Pan , Hongping Wang , Runjie Wei , Jinjun Wang

In this paper we deal with the Bin Packing Problem with Conflicts on interval graphs: given an interval graph, a nonnegative integer weight for each vertex, and a nonnegative integer B, find a partition of the vertex set of the graph into k…

Combinatorics · Mathematics 2017-09-15 Tiziano Bacci , Sara Nicoloso

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

Data Structures and Algorithms · Computer Science 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

Numerous approximation algorithms for problems on unit disk graphs have been proposed in the literature, exhibiting a sharp trade-off between running times and approximation ratios. We introduce a variation of the known shifting strategy…

Data Structures and Algorithms · Computer Science 2016-11-08 Guilherme D. da Fonseca , Vinícius G. Pereira de Sá , Celina M. H. de Figueiredo