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The celebrated notion of important separators bounds the number of small $(S,T)$-separators in a graph which are 'farthest from $S$' in a technical sense. In this paper, we introduce a generalization of this powerful algorithmic primitive…

Data Structures and Algorithms · Computer Science 2023-09-21 Bart M. P. Jansen , Jari J. H. de Kroon , Michał Włodarczyk

For many algorithmic problems, traditional algorithms that optimise on the number of instructions executed prove expensive on I/Os. Novel and very different design techniques, when applied to these problems, can produce algorithms that are…

Data Structures and Algorithms · Computer Science 2010-05-20 Alka

In this paper, a new graph partitioning problem is introduced. The depth of each part is constrained, i.e., the node count in the longest path of the corresponding sub-graph is no more than a predetermined positive integer value p. An…

Emerging Technologies · Computer Science 2018-10-02 Ghasem Pasandi , Massoud Pedram

Graph partitioning (GP), a.k.a. community detection, is a classic problem that divides the node set of a graph into densely-connected blocks. Following prior work on the IEEE HPEC Graph Challenge benchmark and recent advances in graph…

Social and Information Networks · Computer Science 2023-12-05 Yu Gao , Meng Qin , Yibin Ding , Li Zeng , Chaorui Zhang , Weixi Zhang , Wei Han , Rongqian Zhao , Bo Bai

It has become a popular paradigm to transfer the knowledge of large-scale pre-trained models to various downstream tasks via fine-tuning the entire model parameters. However, with the growth of model scale and the rising number of…

Machine Learning · Computer Science 2023-05-18 Anchun Gui , Jinqiang Ye , Han Xiao

Parameter-efficient fine-tuning (PEFT) significantly reduces computational and memory costs by updating only a small subset of the model's parameters, enabling faster adaptation to new tasks with minimal loss in performance. Previous…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Manish Dhakal , Venkat R. Dasari , Rajshekhar Sunderraman , Yi Ding

Modern heterogeneous systems consist of many different processing units, such as CPUs, GPUs, FPGAs and AI units. A central problem in the design of applications in this environment is to find a beneficial mapping of tasks to processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-15 Martin Wilhelm , Thilo Pionteck

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

Data Structures and Algorithms · Computer Science 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

In recent years, the problem of computing the frequencies of the induced $k$-vertex subgraphs of a graph, or \emph{$k$-graphlets}, has become central. One approach for this problem is to sample $k$-graphlets randomly. Classic algorithms for…

Data Structures and Algorithms · Computer Science 2026-04-29 Marco Bressan , T-H. Hubert Chan , Qipeng Kuang , Mauro Sozio

The question to enumerate all inclusion-minimal connected dominating sets in a graph of order $n$ in time significantly less than $2^n$ is an open question that was asked in many places. We answer this question affirmatively, by providing…

Computational Complexity · Computer Science 2022-05-03 Faisal Abu-Khzam , Henning Fernau , Benjamin Gras , Mathieu Liedloff , Kevin Mann

The Bulk Synchronous Parallel(BSP) computational model has emerged as the dominant distributed framework to build large-scale iterative graph processing systems. While its implementations(e.g., Pregel, Giraph, and Hama) achieve high…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-23 Qun Chen , Song Bai , Zhanhuai Li , Zhiying Gou , Bo Suo , Wei Pan

Recent advances in reprogrammable hardware (e.g., FPGAs) and memory technology (e.g., DDR4, HBM) promise to solve performance problems inherent to graph processing like irregular memory access patterns on traditional hardware (e.g., CPU).…

Hardware Architecture · Computer Science 2021-04-19 Jonas Dann , Daniel Ritter , Holger Fröning

Modeling data sharing in GPU programs is a challenging task because of the massive parallelism and complex data sharing patterns provided by GPU architectures. Better GPU caching efficiency can be achieved through careful task scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-04 Lingda Li , Ari B. Hayes , Stephen A. Hackler , Eddy Z. Zhang , Mario Szegedy , Shuaiwen Leon Song

We consider the approximability of the maximum edge-disjoint paths problem (MEDP) in undirected graphs, and in particular, the integrality gap of the natural multicommodity flow based relaxation for it. The integrality gap is known to be…

Discrete Mathematics · Computer Science 2013-03-21 Chandra Chekuri , Guyslain Naves , F. Bruce Shepherd

In this paper, we study the single-source shortest-path (SSSP) problem with positive edge weights, which is a notoriously hard problem in the parallel context. In practice, the $\Delta$-stepping algorithm proposed by Meyer and Sanders has…

Data Structures and Algorithms · Computer Science 2021-12-16 Xiaojun Dong , Yan Gu , Yihan Sun , Yunming Zhang

Deep sequencing has enabled the investigation of a wide range of environmental microbial ecosystems, but the high memory requirements for {\em de novo} assembly of short-read shotgun sequencing data from these complex populations are an…

Genomics · Quantitative Biology 2015-06-03 Jason Pell , Arend Hintze , Rosangela Canino-Koning , Adina Howe , James M. Tiedje , C. Titus Brown

The nature of heterophilous graphs is significantly different from that of homophilous graphs, which causes difficulties in early graph neural network models and suggests aggregations beyond the 1-hop neighborhood. In this paper, we develop…

Machine Learning · Computer Science 2023-10-18 Jianfei Li , Ruigang Zheng , Han Feng , Ming Li , Xiaosheng Zhuang

Graphs have become a key tool when modeling and solving problems in different areas. The Floyd-Warshall (FW) algorithm computes the shortest path between all pairs of vertices in a graph and is employed in areas like communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Sergio Calderón , Enzo Rucci , Franco Chichizola

The k-truss is a type of cohesive subgraphs proposed recently for the study of networks. While the problem of computing most cohesive subgraphs is NP-hard, there exists a polynomial time algorithm for computing k-truss. Compared with k-core…

Databases · Computer Science 2012-05-31 Jia Wang , James Cheng

We study the classic subgraph enumeration problem under distributed settings. Existing solutions either suffer from severe memory crisis or rely on large indexes, which makes them impractical for very large graphs. Most of them follow a…

Databases · Computer Science 2019-01-24 Xuguang Ren , Junhu Wang , Wook-Shin Han , Jeffrey Xu Yu
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