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Vertex connectivity and edge connectivity are fundamental concepts in graph theory that have been widely studied from both structural and algorithmic perspectives. The focus of this paper is on computing these two parameters for graphs…

Data Structures and Algorithms · Computer Science 2025-10-14 Therese Biedl , Prosenjit Bose , Karthik Murali

Recently, a considerable literature has grown up around the theme of Graph Convolutional Network (GCN). How to effectively leverage the rich structural information in complex graphs, such as knowledge graphs with heterogeneous types of…

Machine Learning · Computer Science 2021-04-26 Donghan Yu , Yiming Yang , Ruohong Zhang , Yuexin Wu

Network embeddings have become very popular in learning effective feature representations of networks. Motivated by the recent successes of embeddings in natural language processing, researchers have tried to find network embeddings in…

Social and Information Networks · Computer Science 2017-02-23 Bijaya Adhikari , Yao Zhang , Naren Ramakrishnan , B. Aditya Prakash

Graph embedding provides an efficient solution for graph analysis by converting the graph into a low-dimensional space which preserves the structure information. In contrast to the graph structure data, the i.i.d. node embedding can be…

Machine Learning · Computer Science 2017-05-16 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang

Graph embedding techniques have led to significant progress in recent years. However, present techniques are not effective enough to capture the patterns of networks. This paper propose neighbor2vec, a neighbor-based sampling strategy used…

Social and Information Networks · Computer Science 2022-01-11 Zhiming Lin

Graph representation learning plays an important role in many graph mining applications, but learning embeddings of large-scale graphs remains a problem. Recent works try to improve scalability via graph summarization -- i.e., they learn…

Machine Learning · Computer Science 2022-07-05 Houquan Zhou , Shenghua Liu , Danai Koutra , Huawei Shen , Xueqi Cheng

Graph embedding methods aim at finding useful graph representations by mapping nodes to a low-dimensional vector space. It is a task with important downstream applications, such as link prediction, graph reconstruction, data visualization,…

Machine Learning · Computer Science 2022-09-13 Said Kerrache , Hafida Benhidour

This tutorial covers a few recent papers in the field of network embedding. Network embedding is a collective term for techniques for mapping graph nodes to vectors of real numbers in a multidimensional space. To be useful, a good embedding…

Social and Information Networks · Computer Science 2019-10-17 Boaz Shmueli

Knowledge graph is a popular format for representing knowledge, with many applications to semantic search engines, question-answering systems, and recommender systems. Real-world knowledge graphs are usually incomplete, so knowledge graph…

Machine Learning · Computer Science 2023-04-26 Hung Nghiep Tran , Atsuhiro Takasu

Graph embedding methods embed the nodes in a graph in low dimensional vector space while preserving graph topology to carry out the downstream tasks such as link prediction, node recommendation and clustering. These tasks depend on a…

Machine Learning · Computer Science 2020-10-22 Ramanujam Madhavan , Mohit Wadhwa

Recent advances in neural networks have solved common graph problems such as link prediction, node classification, node clustering, node recommendation by developing embeddings of entities and relations into vector spaces. Graph embeddings…

Social and Information Networks · Computer Science 2021-11-19 Archit Parnami , Mayuri Deshpande , Anant Kumar Mishra , Minwoo Lee

Knowledge graph embedding methods learn embeddings of entities and relations in a low dimensional space which can be used for various downstream machine learning tasks such as link prediction and entity matching. Various graph convolutional…

Machine Learning · Computer Science 2021-02-16 Nasrullah Sheikh , Xiao Qin , Berthold Reinwald , Christoph Miksovic , Thomas Gschwind , Paolo Scotton

Graph is a natural representation of data for a variety of real-word applications, such as knowledge graph mining, social network analysis and biological network comparison. For these applications, graph embedding is crucial as it provides…

Machine Learning · Computer Science 2020-01-24 Bitan Hou , Yujing Wang , Ming Zeng , Shan Jiang , Ole J. Mengshoel , Yunhai Tong , Jing Bai

The objective of knowledge graph embedding is to encode both entities and relations of knowledge graphs into continuous low-dimensional vector spaces. Previously, most works focused on symbolic representation of knowledge graph with…

Computation and Language · Computer Science 2016-12-14 Jiacheng Xu , Kan Chen , Xipeng Qiu , Xuanjing Huang

Graphs or networks are a very convenient way to represent data with lots of interaction. Recently, Machine Learning on Graph data has gained a lot of traction. In particular, vertex classification and missing edge detection have very…

Machine Learning · Computer Science 2020-09-07 Simon Brandeis , Adrian Jarret , Pierre Sevestre

Network representation learning has traditionally been used to find lower dimensional vector representations of the nodes in a network. However, there are very important edge driven mining tasks of interest to the classical network analysis…

Social and Information Networks · Computer Science 2019-12-12 Sambaran Bandyopadhyay , Anirban Biswas , M. N. Murty , Ramasuri Narayanam

Knowledge graphs represent information as structured triples and serve as the backbone for a wide range of applications, including question answering, link prediction, and recommendation systems. A prominent line of research for exploring…

Machine Learning · Computer Science 2025-10-15 Rita T. Sousa , Heiko Paulheim

A collaborative network is a social network that is comprised of experts who cooperate with each other to fulfill a special goal. Analyzing this network yields meaningful information about the expertise of these experts and their subject…

Social and Information Networks · Computer Science 2021-04-14 N. Nikzad-Khasmakhi , M. A. Balafar , M. Reza Feizi-Derakhshi , Cina Motamed

In the last two decades we are witnessing a huge increase of valuable big data structured in the form of graphs or networks. To apply traditional machine learning and data analytic techniques to such data it is necessary to transform graphs…

Machine Learning · Computer Science 2024-03-22 Aleksandar Tomčić , Miloš Savić , Miloš Radovanović

Graphs are a representation of structured data that captures the relationships between sets of objects. With the ubiquity of available network data, there is increasing industrial and academic need to quickly analyze graphs with billions of…

Machine Learning · Computer Science 2023-07-28 Brandon Mayer , Anton Tsitsulin , Hendrik Fichtenberger , Jonathan Halcrow , Bryan Perozzi