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We present an algorithm for a fault tolerant Depth First Search (DFS) Tree in an undirected graph. This algorithm is drastically simpler than the current state-of-the-art algorithms for this problem, uses optimal space and optimal…

Data Structures and Algorithms · Computer Science 2019-03-28 Surender Baswana , Shiv Kumar Gupta , Ayush Tulsyan

Graph-searching algorithms play a crucial role in various computational domains, enabling efficient exploration and pathfinding in structured data. Traditional approaches, such as Depth-First Search (DFS) and Breadth-First Search (BFS),…

Social and Information Networks · Computer Science 2025-08-21 Rowanda Ahmed , Belaynesh Chekol , Mahmoud Alsaleh

Graph Partitioning is widely used in many real-world applications such as fraud detection and social network analysis, in order to enable the distributed graph computing on large graphs. However, existing works fail to balance the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-07 Li Zeng , Haohan Huang , Binfan Zheng , Kang Yang , Shengcheng Shao , Jinhua Zhou , Jun Xie , Rongqian Zhao , Xin Chen

Graph partition is a key component to achieve workload balance and reduce job completion time in parallel graph processing systems. Among the various partition strategies, edge partition has demonstrated more promising performance in…

Data Structures and Algorithms · Computer Science 2020-12-18 Zhenyu Guo , Mingyu Xiao , Yi Zhou , Dongxiang Zhang , Kian-Lee Tan

We study the problem of maintaining a breadth-first spanning tree and the induced BFS ordering in a directed graph under edge updates. While semi-dynamic algorithms are known, maintaining the spanning tree, level information, and numbering…

Data Structures and Algorithms · Computer Science 2026-04-15 Gregory Morse , Tamás Kozsik

We present a parallel version of the cut-pursuit algorithm for minimizing functionals involving the graph total variation. We show that the decomposition of the iterate into constant connected components, which is at the center of this…

Data Structures and Algorithms · Computer Science 2019-05-08 Hugo Raguet , Loic Landrieu

The focus of my PhD thesis is on exploring parallel approaches to efficiently solve problems modeled by constraints and presenting a new proposal. Current solvers are very advanced; they are carefully designed to effectively manage the…

Artificial Intelligence · Computer Science 2019-09-23 Fabio Tardivo

We propose Slim Graph: the first programming model and framework for practical lossy graph compression that facilitates high-performance approximate graph processing, storage, and analytics. Slim Graph enables the developer to express…

Data Structures and Algorithms · Computer Science 2021-08-04 Maciej Besta , Simon Weber , Lukas Gianinazzi , Robert Gerstenberger , Andrey Ivanov , Yishai Oltchik , Torsten Hoefler

The availability of larger and larger graph datasets, growing exponentially over the years, has created several new algorithmic challenges to be addressed. Sequential approaches have become unfeasible, while interest on parallel and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Alessio Guerrieri , Alberto Montresor

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

Data Structures and Algorithms · Computer Science 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

The Reeb graph of a scalar function defined on a domain gives a topologically meaningful summary of that domain. Reeb graphs have been shown in the past decade to be of great importance in geometric processing, image processing, computer…

Computational Geometry · Computer Science 2020-10-13 Mustafa Hajij , Paul Rosen

The rapidly growing number of large network analysis problems has led to the emergence of many parallel and distributed graph processing systems---one survey in 2014 identified over 80. Since then, the landscape has evolved; some packages…

Performance · Computer Science 2017-05-18 Samuel Pollard , Boyana Norris

High-performance analysis of unstructured data like graphs now is critical for applications ranging from business intelligence to genome analysis. Towards this, data centers hold large graphs in memory to serve multiple concurrent queries…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-27 Emory Smith , Shannon Kuntz , Jason Riedy , Martin Deneroff

We present the results obtained by using an evolution of our CUDA-based solution for the exploration, via a Breadth First Search, of large graphs. This latest version exploits at its best the features of the Kepler architecture and relies…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-24 Mauro Bisson , Massimo Bernaschi , Enrico Mastrostefano

Lexicographic depth first search (LexDFS) is a graph search protocol which has already proved to be a powerful tool on cocomparability graphs. Cocomparability graphs have been well studied by investigating their complements (comparability…

Data Structures and Algorithms · Computer Science 2014-04-25 Ekkehard Köhler , Lalla Mouatadid

The problem of space-efficient depth-first search (DFS) is reconsidered. A particularly simple and fast algorithm is presented that, on a directed or undirected input graph $G=(V,E)$ with $n$ vertices and $m$ edges, carries out a DFS in…

Data Structures and Algorithms · Computer Science 2018-05-31 Torben Hagerup

Temporal graph neural networks (temporal GNNs) have been widely researched, reaching state-of-the-art results on multiple prediction tasks. A common approach employed by most previous works is to apply a layer that aggregates information…

Machine Learning · Computer Science 2022-06-14 Uriel Singer , Haggai Roitman , Ido Guy , Kira Radinsky

This study develops a graph search algorithm to find the optimal discrimination path for the binary classification problem. The objective function is defined as the difference of variations between the true positive (TP) and false positive…

Machine Learning · Computer Science 2024-01-10 Qinwu Xu

We present linear time {\it in-place} algorithms for several basic and fundamental graph problems including the well-known graph search methods (like depth-first search, breadth-first search, maximum cardinality search), connectivity…

Data Structures and Algorithms · Computer Science 2019-07-24 Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

Comparability graphs are the undirected graphs whose edges can be directed so that the resulting directed graph is transitive. They are related to posets and have applications in scheduling theory. This paper considers the problem of…

Data Structures and Algorithms · Computer Science 2015-03-11 Marc Tedder
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