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Network graphs have become a popular tool to represent complex systems composed of many interacting subunits; especially in neuroscience, network graphs are increasingly used to represent and analyze functional interactions between neural…

信息论 · 计算机科学 2015-11-24 Patricia Wollstadt , Ulrich Meyer , Michael Wibral

Data-intensive, graph-based computations are pervasive in several scientific applications, and are known to to be quite challenging to implement on distributed memory systems. In this work, we explore the design space of parallel algorithms…

分布式、并行与集群计算 · 计算机科学 2011-10-17 Aydin Buluc , Kamesh Madduri

We present a new approach called GR (Graph Reduction) algorithm for searching loop-less k-shortest paths (1st to k-th shortest paths) in a graph based on graph reduction. Let a source vertex and a target vertex of k-shortest paths be v_s…

数据结构与算法 · 计算机科学 2019-08-20 Yasuo Yamane , Hironobu Kitajima

We consider a problem of localizing a path-signal that evolves over time on a graph. A path-signal can be viewed as the trajectory of a moving agent on a graph in several consecutive time points. Combining dynamic programming and graph…

信号处理 · 电气工程与系统科学 2018-11-14 Yaoqing Yang , Siheng Chen , Mohammad Ali Maddah-Ali , Pulkit Grover , Soummya Kar , Jelena Kovačević

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

数据结构与算法 · 计算机科学 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

We develop a multilevel algorithm for hypergraph partitioning that contracts the vertices one at a time. Using several caching and lazy-evaluation techniques during coarsening and refinement, we reduce the running time by up to two-orders…

数据结构与算法 · 计算机科学 2015-11-11 Sebastian Schlag , Vitali Henne , Tobias Heuer , Henning Meyerhenke , Peter Sanders , Christian Schulz

The problem of finding dense components of a graph is a widely explored area in data analysis, with diverse applications in fields and branches of study including community mining, spam detection, computer security and bioinformatics. This…

We present a new fast all-pairs shortest path algorithm for unweighted graphs. In breadth-first search which is said to representative and fast in unweighted graphs, the average number of accesses to adjacent vertices (expressed by…

数据结构与算法 · 计算机科学 2019-08-20 Yasuo Yamane , Kenichi Kobayashi

On an evolving graph that is continuously updated by a high-velocity stream of edges, how can one efficiently maintain if two vertices are connected? This is the connectivity problem, a fundamental and widely studied problem on graphs. We…

数据结构与算法 · 计算机科学 2016-02-18 Natcha Simsiri , Kanat Tangwongsan , Srikanta Tirthapura , Kun-Lung Wu

Given an undirected graph, $G$, and vertices, $s$ and $t$ in $G$, the tracking paths problem is that of finding the smallest subset of vertices in $G$ whose intersection with any $s$-$t$ path results in a unique sequence. This problem is…

数据结构与算法 · 计算机科学 2021-04-27 Michael T. Goodrich , Siddharth Gupta , Hadi Khodabandeh , Pedro Matias

In this paper, we propose a method, based on graph signal processing, to optimize the choice of $k$ in $k$-nearest neighbor graphs ($k$NNGs). $k$NN is one of the most popular approaches and is widely used in machine learning and signal…

机器学习 · 计算机科学 2024-01-17 Asuka Tamaru , Junya Hara , Hiroshi Higashi , Yuichi Tanaka , Antonio Ortega

We consider the problem of finding edge-disjoint paths between given pairs of vertices in a sufficiently strong $d$-regular expander graph $G$ with $n$ vertices. In particular, we describe a deterministic, polynomial time algorithm which…

数据结构与算法 · 计算机科学 2023-10-23 Nemanja Draganić , Rajko Nenadov

We present a new, systematic approach for analyzing network topologies. We first introduce the dK-series of probability distributions specifying all degree correlations within d-sized subgraphs of a given graph G. Increasing values of d…

网络与互联网体系结构 · 计算机科学 2008-04-16 Priya Mahadevan , Dmitri Krioukov , Kevin Fall , Amin Vahdat

Maintaining a $k$-core decomposition quickly in a dynamic graph has important applications in network analysis. The main challenge for designing efficient exact algorithms is that a single update to the graph can cause significant global…

数据结构与算法 · 计算机科学 2023-09-28 Quanquan C. Liu , Jessica Shi , Shangdi Yu , Laxman Dhulipala , Julian Shun

Given $k$ pairs of terminals $\{(s_{1}, t_{1}), \ldots, (s_{k}, t_{k})\}$ in a graph $G$, the min-sum $k$ vertex-disjoint paths problem is to find a collection $\{Q_{1}, Q_{2}, \ldots, Q_{k}\}$ of vertex-disjoint paths with minimum total…

数据结构与算法 · 计算机科学 2015-07-23 Glencora Borradaile , Amir Nayyeri , Farzad Zafarani

We describe an approach to parallel graph partitioning that scales to hundreds of processors and produces a high solution quality. For example, for many instances from Walshaw's benchmark collection we improve the best known partitioning.…

分布式、并行与集群计算 · 计算机科学 2010-04-08 Manuel Holtgrewe , Peter Sanders , Christian Schulz

How can we analyze enormous networks including the Web and social networks which have hundreds of billions of nodes and edges? Network analyses have been conducted by various graph mining methods including shortest path computation,…

分布式、并行与集群计算 · 计算机科学 2017-09-27 Chiwan Park , Ha-Myung Park , Minji Yoon , U Kang

K Nearest Neighbor (KNN) joins are used in scientific domains for data analysis, and are building blocks of several well-known algorithms. KNN-joins find the KNN of all points in a dataset. This paper focuses on a hybrid CPU/GPU approach…

分布式、并行与集群计算 · 计算机科学 2020-11-19 Michael Gowanlock

Graph Retrieval has witnessed continued interest and progress in the past few years. In thisreport, we focus on neural network based approaches for Graph matching and retrieving similargraphs from a corpus of graphs. We explore methods…

信息检索 · 计算机科学 2022-04-25 Chitrank Gupta , Yash Jain

Learning-based methods have become increasingly popular for solving vehicle routing problems due to their near-optimal performance and fast inference speed. Among them, the combination of deep reinforcement learning and graph representation…

机器学习 · 计算机科学 2024-05-22 Zhenwei Wang , Ruibin Bai , Fazlullah Khan , Ender Ozcan , Tiehua Zhang