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The fastest deterministic algorithms for connected components take logarithmic time and perform superlinear work on a Parallel Random Access Machine (PRAM). These algorithms maintain a spanning forest by merging and compressing trees, which…

Data Structures and Algorithms · Computer Science 2021-12-09 Paul Burkhardt

Localization is one of the pivotal issues in wireless sensor network applications. In 3D localization studies, most algorithms focus on enhancing the location prediction process, lacking theoretical derivation of the detection distance of…

Networking and Internet Architecture · Computer Science 2024-01-12 Penghong Wang , Hao Wang , Wenrui Li , Xiaopeng Fan , Debin Zhao

The graph is one of the most widely used mathematical structures in engineering and science because of its representational power and inherent ability to demonstrate the relationship between objects. The objective of this work is to…

Data Structures and Algorithms · Computer Science 2021-01-01 Shri Prakash Dwivedi

Recent works have shown that exploiting unlabeled data through label propagation can substantially reduce the labeling cost, which has been a critical issue in developing visual recognition models. Yet, how to propagate labels reliably,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Lei Yang , Qingqiu Huang , Huaiyi Huang , Linning Xu , Dahua Lin

Attack graphs provide compact representations of the attack paths that an attacker can follow to compromise network resources by analysing network vulnerabilities and topology. These representations are a powerful tool for security risk…

Cryptography and Security · Computer Science 2016-06-23 Luis Muñoz-González , Daniele Sgandurra , Andrea Paudice , Emil C. Lupu

We provide a new constant factor approximation algorithm for the (connected) distance-$r$ dominating set problem on graph classes of bounded expansion. Classes of bounded expansion include many familiar classes of sparse graphs such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-08 Saeed Akhoondian Amiri , Patrice Ossona de Mendez , Roman Rabinovich , Sebastian Siebertz

Our work in this paper is inspired by a statistical observation that is both elementary and broadly relevant to network analysis in practice -- that the uncertainty in approximating some true network graph $G=(V,E)$ by some estimated graph…

Statistics Theory · Mathematics 2016-10-11 Prakash Balachandran , Eric D. Kolaczyk , Weston Viles

Massive graphs, such as online social networks and communication networks, have become common today. To efficiently analyze such large graphs, many distributed graph computing systems have been developed. These systems employ the "think…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-03 Da Yan , James Cheng , Yi Lu , Wilfred Ng

Graph similarity search is a common and fundamental operation in graph databases. One of the most popular graph similarity measures is the Graph Edit Distance (GED) mainly because of its broad applicability and high interpretability.…

Databases · Computer Science 2018-01-25 Zijian Li , Xun Jian , Xiang Lian , Lei Chen

Compression and sparsification algorithms are frequently applied in a preprocessing step before analyzing or optimizing large networks/graphs. In this paper we propose and study a new framework contracting edges of a graph (merging vertices…

Data Structures and Algorithms · Computer Science 2019-02-14 Aaron Bernstein , Karl Däubel , Yann Disser , Max Klimm , Torsten Mütze , Frieder Smolny

Retrosynthesis, which aims to identify viable synthetic pathways for target molecules by decomposing them into simpler precursors, is often treated as a search problem. However, its complexity arises from multi-branched tree-structured…

Artificial Intelligence · Computer Science 2025-11-25 Chengyang Tian , Yuhang Chang , Yangpeng Zhang , Yang Liu

The degree distribution is one of the most fundamental properties used in the analysis of massive graphs. There is a large literature on graph sampling, where the goal is to estimate properties (especially the degree distribution) of a…

Social and Information Networks · Computer Science 2018-08-29 Talya Eden , Shweta Jain , Ali Pinar , Dana Ron , C. Seshadhri

Affinity propagation is one of the most effective unsupervised pattern recognition algorithms for data clustering in high-dimensional feature space. However, the numerous attempts to test its performance for community detection in complex…

Machine Learning · Computer Science 2018-08-30 Carlo Vittorio Cannistraci , Alessandro Muscoloni

Most graph neural network models rely on a particular message passing paradigm, where the idea is to iteratively propagate node representations of a graph to each node in the direct neighborhood. While very prominent, this paradigm leads to…

Machine Learning · Computer Science 2023-01-24 Ralph Abboud , Radoslav Dimitrov , İsmail İlkan Ceylan

We demonstrate that a graph-based search algorithm-relying on the construction of an approximate neighborhood graph-can directly work with challenging non-metric and/or non-symmetric distances without resorting to metric-space mapping…

Information Retrieval · Computer Science 2019-10-09 Leonid Boytsov , Eric Nyberg

Probabilistic graphical models are a powerful concept for modeling high-dimensional distributions. Besides modeling distributions, probabilistic graphical models also provide an elegant framework for performing statistical inference;…

Artificial Intelligence · Computer Science 2022-09-13 Christian Knoll

We propose Distributed Neighbor Expansion (Distributed NE), a parallel and distributed graph partitioning method that can scale to trillion-edge graphs while providing high partitioning quality. Distributed NE is based on a new heuristic,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-24 Masatoshi Hanai , Toyotaro Suzumura , Wen Jun Tan , Elvis Liu , Georgios Theodoropoulos , Wentong Cai

We introduce the diffusion and superposition distances as two metrics to compare signals supported in the nodes of a network. Both metrics consider the given vectors as initial temperature distributions and diffuse heat trough the edges of…

Social and Information Networks · Computer Science 2014-12-01 Santiago Segarra , Weiyu Huang , Alejandro Ribeiro

Driven by many real applications, we study the problem of seeded graph matching. Given two graphs $G_1 = (V_1, E_1)$ and $G_2 = (V_2, E_2)$, and a small set $S$ of pre-matched node pairs $[u, v]$ where $u \in V_1$ and $v \in V_2$, the…

Data Structures and Algorithms · Computer Science 2018-10-29 Haida Zhang , Zengfeng Huang , Xuemin Lin , Zhe Lin , Wenjie Zhang , Ying Zhang

In this paper, we propose a novel Pattern-Affinitive Propagation (PAP) framework to jointly predict depth, surface normal and semantic segmentation. The motivation behind it comes from the statistic observation that pattern-affinitive pairs…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Zhenyu Zhang , Zhen Cui , Chunyan Xu , Yan Yan , Nicu Sebe , Jian Yang