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Related papers: Dynamical SimRank Search on Time-Varying Networks

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This paper proposes a \emph{fully asynchronous} scheme for the policy evaluation problem of distributed reinforcement learning (DisRL) over directed peer-to-peer networks. Without waiting for any other node of the network, each node can…

Machine Learning · Computer Science 2021-01-25 Xingyu Sha , Jiaqi Zhang , Keyou You , Kaiqing Zhang , Tamer Başar

We study subgraph counting over fully dynamic graphs, which undergo edge insertions and deletions. Counting subgraphs is a fundamental problem in graph theory with numerous applications across various fields, including database theory,…

Data Structures and Algorithms · Computer Science 2025-04-16 Sepehr Assadi , Vihan Shah

We present a physics-inspired method for inferring dynamic rankings in directed temporal networks - networks in which each directed and timestamped edge reflects the outcome and timing of a pairwise interaction. The inferred ranking of each…

We revisit the classic problem of dynamically maintaining shortest paths between all pairs of nodes of a directed weighted graph. The allowed updates are insertions and deletions of nodes and their incident edges. We give worst-case…

Data Structures and Algorithms · Computer Science 2018-03-02 Ittai Abraham , Shiri Chechik , Sebastian Krinninger

SimRank is a similarity measure for graph nodes that has numerous applications in practice. Scalable SimRank computation has been the subject of extensive research for more than a decade, and yet, none of the existing solutions can…

Databases · Computer Science 2016-04-15 Boyu Tian , Xiaokui Xiao

Most of real-world graphs are dynamic, i.e., they change over time by a sequence of update operations. While the regression problem has been studied for static graphs and temporal graphs, it is not investigated for general dynamic graphs.…

Machine Learning · Computer Science 2022-10-10 Mostafa Haghir Chehreghani

Given a simple $n$-vertex, $m$-edge graph $G$ undergoing edge insertions and deletions, we give two new fully dynamic algorithms for exactly maintaining the edge connectivity of $G$ in $\tilde{O}(n)$ worst-case update time and…

Data Structures and Algorithms · Computer Science 2024-03-25 Gramoz Goranci , Monika Henzinger , Danupon Nanongkai , Thatchaphol Saranurak , Mikkel Thorup , Christian Wulff-Nilsen

PageRank is a popular centrality metric that assigns importance to the vertices of a graph based on its neighbors and their score. Efficient parallel algorithms for updating PageRank on dynamic graphs is crucial for various applications,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-29 Subhajit Sahu

Depth first search (DFS) tree is one of the most well-known data structures for designing efficient graph algorithms. Given an undirected graph $G=(V,E)$ with $n$ vertices and $m$ edges, the textbook algorithm takes $O(n+m)$ time to…

Data Structures and Algorithms · Computer Science 2018-02-21 Lijie Chen , Ran Duan , Ruosong Wang , Hanrui Zhang , Tianyi Zhang

The maximum matching problem in dynamic graphs subject to edge updates (insertions and deletions) has received much attention over the last few years; a multitude of approximation/time tradeoffs were obtained, improving upon the folklore…

Data Structures and Algorithms · Computer Science 2021-11-30 Mohammad Roghani , Amin Saberi , David Wajc

We consider the problem of computing a maximal matching with a distributed algorithm in the presence of batch-dynamic changes to the graph topology. We assume that a graph of $n$ nodes is vertex-partitioned among $k$ players that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-30 Minming Li , Peter Robinson , Xianbin Zhu

This paper presents a comprehensive study of algorithms for maintaining the number of all connected four-vertex subgraphs in a dynamic graph. Specifically, our algorithms maintain the number of paths of length three in deterministic…

Data Structures and Algorithms · Computer Science 2022-03-18 Kathrin Hanauer , Monika Henzinger , Qi Cheng Hua

We present a randomized algorithm for dynamic graph connectivity. With failure probability less than $1/n^c$ (for any constant $c$ we choose), our solution has worst case running time $O(\log^3 n)$ per edge insertion, $O(\log^4 n)$ per edge…

Data Structures and Algorithms · Computer Science 2015-10-16 Zhengyu Wang

We consider a dynamic situation in the weighted bipartite matching problem: edge weights in the input graph are repeatedly updated and we are asked to maintain an optimal matching at any moment. A trivial approach is to compute an optimal…

Data Structures and Algorithms · Computer Science 2023-08-01 Kohei Morita , Shinya Shiroshita , Yutaro Yamaguchi , Yu Yokoi

Dynamic connectivity is a well-studied problem, but so far the most compelling progress has been confined to the edge-update model: maintain an understanding of connectivity in an undirected graph, subject to edge insertions and deletions.…

Data Structures and Algorithms · Computer Science 2008-08-11 Timothy M. Chan , Mihai Patrascu , Liam Roditty

We consider the problems of maintaining an approximate maximum matching and an approximate minimum vertex cover in a dynamic graph undergoing a sequence of edge insertions/deletions. Starting with the seminal work of Onak and Rubinfeld…

Data Structures and Algorithms · Computer Science 2016-11-21 Sayan Bhattacharya , Deeparnab Chakrabarty , Monika Henzinger

PageRank is a metric that assigns importance to the vertices of a graph based on its neighbors and their scores. Recently, there has been increasing interest in computing PageRank on dynamic graphs, where the graph structure evolves due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-24 Subhajit Sahu

Dynamic trees are a well-studied and fundamental building block of dynamic graph algorithms dating back to the seminal work of Sleator and Tarjan [STOC'81, (1981), pp. 114-122]. The problem is to maintain a tree subject to online edge…

Data Structures and Algorithms · Computer Science 2023-06-16 Daniel Anderson , Guy E. Blelloch

During the last 10 years it has become popular to study dynamic graph problems in a emergency planning or sensitivity setting: Instead of considering the general fully dynamic problem, we only have to process a single batch update of size…

Data Structures and Algorithms · Computer Science 2016-11-17 Monika Henzinger , Stefan Neumann

We present a Las Vegas algorithm for dynamically maintaining a minimum spanning forest of an $n$-node graph undergoing edge insertions and deletions. Our algorithm guarantees an $O(n^{o(1)})$ worst-case update time with high probability.…

Data Structures and Algorithms · Computer Science 2017-08-16 Danupon Nanongkai , Thatchaphol Saranurak , Christian Wulff-Nilsen