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We present a new hybrid, local search algorithm for quantum approximate optimization of constrained combinatorial optimization problems. We focus on the Maximum Independent Set problem and demonstrate the ability of quantum local search to…

Quantum Physics · Physics 2022-08-24 Teague Tomesh , Zain H. Saleem , Martin Suchara

A distributed algorithm performs local computations on pieces of input and communicates the results through given communication links. When processing a massive graph in a distributed algorithm, local outputs must be configured as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-06 Fan Chung , Olivia Simpson

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

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

This work addresses the well-known Maximum Independent Set problem in the context of hypergraphs. While this problem has been extensively studied on graphs, we focus on its strong extension to hypergraphs, where edges may connect any number…

Data Structures and Algorithms · Computer Science 2026-02-12 Ernestine Großmann , Christian Schulz , Darren Strash , Antonie Wagner

The Maximum Independent Set problem is fundamental for extracting conflict-free structure from large graphs, with applications in scheduling, recommendation, and network analysis. However, existing heuristics can stagnate when search…

Artificial Intelligence · Computer Science 2025-10-29 Yu Zhang , Witold Pedrycz , Chanjuan Liu , Enqiang Zhu

In evolutionary multi-objective optimization, the indicator-based subset selection problem involves finding a subset of points that maximizes a given quality indicator. Local search is an effective approach for obtaining a high-quality…

Neural and Evolutionary Computing · Computer Science 2025-03-07 Keisuke Korogi , Ryoji Tanabe

We present new refinement heuristics for the balanced graph partitioning problem that break with an age-old rule. Traditionally, local search only permits moves that keep the block sizes balanced (below a size constraint). In this work, we…

Social and Information Networks · Computer Science 2025-05-13 Nikolai Maas , Lars Gottesbüren , Daniel Seemaier

We study the design of local algorithms for massive graphs. A local algorithm is one that finds a solution containing or near a given vertex without looking at the whole graph. We present a local clustering algorithm. Our algorithm finds a…

Data Structures and Algorithms · Computer Science 2008-09-19 Daniel A. Spielman , Shang-Hua Teng

Community search over large graphs is a fundamental problem in graph analysis. Recent studies propose to compute top-k influential communities, where each reported community not only is a cohesive subgraph but also has a high influence…

Databases · Computer Science 2017-12-15 Fei Bi , Lijun Chang , Xuemin Lin , Wenjie Zhang

The maximum independent set problem is one of the most important problems in graph algorithms and has been extensively studied in the line of research on the worst-case analysis of exact algorithms for NP-hard problems. In the weighted…

Data Structures and Algorithms · Computer Science 2021-08-31 Sen Huang , Mingyu Xiao , Xiaoyu Chen

A dynamic graph algorithm is a data structure that supports edge insertions, deletions, and specific problem queries. While extensive research exists on dynamic algorithms for graph problems solvable in polynomial time, most of these…

Data Structures and Algorithms · Computer Science 2024-07-10 Jannick Borowitz , Ernestine Großmann , Christian Schulz

Context: The growing size of graph-based modeling artifacts in model-driven engineering calls for techniques that enable efficient execution of graph queries. Incremental approaches based on the RETE algorithm provide an adequate solution…

Software Engineering · Computer Science 2024-07-08 Matthias Barkowsky , Holger Giese

We develop an experimental algorithm for the exact solving of the maximum independent set problem. The algorithm consecutively finds the maximal independent sets of vertices in an arbitrary undirected graph such that the next such set…

Data Structures and Algorithms · Computer Science 2016-03-02 Anatoly D. Plotnikov

Kernel methods are considered an effective technique for on-line learning. Many approaches have been developed for compactly representing the dual solution of a kernel method when the problem imposes memory constraints. However, in…

Machine Learning · Computer Science 2016-07-21 Giovanni Da San Martino , Nicolò Navarin , Alessandro Sperduti

Coresets have become an invaluable tool for solving $k$-means and kernel $k$-means clustering problems on large datasets with small numbers of clusters. On the other hand, spectral clustering works well on sparse graphs and has recently…

Machine Learning · Computer Science 2025-03-11 Ben Jourdan , Gregory Schwartzman , Peter Macgregor , He Sun

The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, informatics, and many other areas. Although there exist several algorithms with acceptable runtimes for certain classes of…

Data Structures and Algorithms · Computer Science 2012-11-15 Bharath Pattabiraman , Md. Mostofa Ali Patwary , Assefaw H. Gebremedhin , Wei-keng Liao , Alok Choudhary

The notion of a (polynomial) kernelization from parameterized complexity is a well-studied model for efficient preprocessing for hard computational problems. By now, it is quite well understood which parameterized problems do or…

Data Structures and Algorithms · Computer Science 2025-04-28 Leonid Antipov , Stefan Kratsch

A kernelization is an efficient algorithm that given an instance of a parameterized problem returns an equivalent instance of size bounded by some function of the input parameter value. It is quite well understood which problems do or…

Data Structures and Algorithms · Computer Science 2025-10-02 Leonid Antipov , Stefan Kratsch

Semantic segmentation is a popular research topic in computer vision, and many efforts have been made on it with impressive results. In this paper, we intend to search an optimal network structure that can run in real-time for this problem.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-11 Peng Ye , Baopu Li , Tao Chen , Jiayuan Fan , Zhen Mei , Chen Lin , Chongyan Zuo , Qinghua Chi , Wanli Ouyan