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Single-source and top-$k$ SimRank queries are two important types of similarity search in graphs with numerous applications in web mining, social network analysis, spam detection, etc. A plethora of techniques have been proposed for these…

Databases · Computer Science 2018-10-30 Yu Liu , Bolong Zheng , Xiaodong He , Zhewei Wei , Xiaokui Xiao , Kai Zheng , Jiaheng Lu

{\it SimRank} is a classic measure of the similarities of nodes in a graph. Given a node $u$ in graph $G =(V, E)$, a {\em single-source SimRank query} returns the SimRank similarities $s(u, v)$ between node $u$ and each node $v \in V$. This…

Data Structures and Algorithms · Computer Science 2019-05-08 Zhewei Wei , Xiaodong He , Xiaokui Xiao , Sibo Wang , Yu Liu , Xiaoyong Du , Ji-Rong Wen

Given a graph G and a node u in G, a single source SimRank query evaluates the similarity between u and every node v in G. Existing approaches to single source SimRank computation incur either long query response time, or expensive…

Databases · Computer Science 2020-02-20 Jieming Shi , Tianyuan Jin , Renchi Yang , Xiaokui Xiao , Yin Yang

SimRank is one of the most fundamental measures that evaluate the structural similarity between two nodes in a graph and has been applied in a plethora of data management tasks. These tasks often involve single-source SimRank computation…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-11 Siqiang Luo , Zulun Zhu

Given a graph $G$ with $n$ nodes and two nodes $u,v\in G$, the {\em CoSimRank} value $s(u,v)$ quantifies the similarity between $u$ and $v$ based on graph topology. Compared to SimRank, CoSimRank is shown to be more accurate and effective…

Social and Information Networks · Computer Science 2024-02-21 Renchi Yang , Xiaokui Xiao

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

A key task in social network and other complex network analysis is role analysis: describing and categorizing nodes according to how they interact with other nodes. Two nodes have the same role if they interact with equivalent sets of…

Social and Information Networks · Computer Science 2011-06-13 Ruoming Jin , Victor E. Lee , Hui Hong

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

One of the major challenges in applications related to social networks, computational biology, collaboration networks etc., is to efficiently search for similar patterns in their underlying graphs. These graphs are typically noisy and…

Social and Information Networks · Computer Science 2015-12-17 Kanigalpula Samanvi , Naveen Sivadasan

This paper presents a deterministic linear time complexity IDE-SimRank method to approximately compute SimRank with proved error bound. SimRank is a well-known similarity measure between graph vertices which relies on graph topology only…

Data Structures and Algorithms · Computer Science 2015-02-26 I. V. Oseledets , G. V. Ovchinnikov , A. M. Katrutsa

Given a set of k networks, possibly with different sizes and no overlaps in nodes or edges, how can we quickly assess similarity between them, without solving the node-correspondence problem? Analogously, how can we extract a small number…

Social and Information Networks · Computer Science 2012-09-13 Michele Berlingerio , Danai Koutra , Tina Eliassi-Rad , Christos Faloutsos

SimRank is a well-known similarity measure between graph vertices. In this paper novel low-rank approximation of SimRank is proposed.

Data Structures and Algorithms · Computer Science 2014-10-06 I. V. Oseledets , G. V. Ovchinnikov

Graph similarity search is among the most important graph-based applications, e.g. finding the chemical compounds that are most similar to a query compound. Graph similarity computation, such as Graph Edit Distance (GED) and Maximum Common…

Machine Learning · Computer Science 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei Wang

As a fundamental issue in network analysis, structural node similarity has received much attention in academia and is adopted in a wide range of applications. Among these proposed structural node similarity measures, role similarity stands…

Social and Information Networks · Computer Science 2024-04-02 Qi Bao , Zhongzhi Zhang , Haibin Kan

Distances in a network capture relations between nodes and are the basis of centrality, similarity, and influence measures. Often, however, the relevance of a node $u$ to a node $v$ is more precisely measured not by the magnitude of the…

Social and Information Networks · Computer Science 2016-02-25 Eliav Buchnik , Edith Cohen

SimRank, proposed by Jeh and Widom, provides a good similarity measure that has been successfully used in numerous applications. While there are many algorithms proposed for computing SimRank, their computational costs are very high. In…

Data Structures and Algorithms · Computer Science 2014-11-27 Takanori Maehara , Mitsuru Kusumoto , Ken-ichi Kawarabayashi

Estimating similarity between vertices is a fundamental issue in network analysis across various domains, such as social networks and biological networks. Methods based on common neighbors and structural contexts have received much…

Social and Information Networks · Computer Science 2015-04-14 Jing Zhang , Jie Tang , Cong Ma , Hanghang Tong , Yu Jing , Juanzi Li

Approximate subgraph matching (ASM) is a task that determines the approximate presence of a given query graph in a large target graph. Being an NP-hard problem, ASM is critical in graph analysis with a myriad of applications ranging from…

Machine Learning · Computer Science 2026-03-20 Kaiyang Li , Shihao Ji , Zhipeng Cai , Wei Li

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

Graph comparison is a fundamental operation in data mining and information retrieval. Due to the combinatorial nature of graphs, it is hard to balance the expressiveness of the similarity measure and its scalability. Spectral analysis…

Social and Information Networks · Computer Science 2020-03-04 Anton Tsitsulin , Marina Munkhoeva , Bryan Perozzi
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