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Graph embedding is an effective method to represent graph data in a low dimensional space for graph analytics. Most existing embedding algorithms typically focus on preserving the topological structure or minimizing the reconstruction…

Machine Learning · Computer Science 2019-01-09 Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Lina Yao , Chengqi Zhang

Recently, considerable efforts have been devoted to approximately computing the global and local (i.e., incident to each node) triangle counts of a large graph stream represented as a sequence of edges. Existing approximate triangle…

Data Structures and Algorithms · Computer Science 2018-11-27 Pinghui Wang , Peng Jia , Yiyan Qi , Yu Sun , Jing Tao , Xiaohong Guan

In the era of big-data, the jobs submitted to the clouds exhibit complicated structures represented by graphs, where the nodes denote the sub-tasks each of which can be accommodated at a slot in a server, while the edges indicate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-18 Seyyedali Hosseinalipour , Anuj Nayak , Huaiyu Dai

Graphlets are defined as k-node connected induced subgraph patterns. For an undirected graph, 3-node graphlets include close triangle and open triangle. When k = 4, there are six types of graphlets, e.g., tailed-triangle and clique are two…

Machine Learning · Computer Science 2018-10-09 Xutong Liu , Yu-Zhen Janice Chen , John C. S. Lui , Konstantin Avrachenkov

A single-commodity congestion approximator for a graph is a compact data structure that approximately predicts the edge congestion required to route any set of single-commodity flow demands in a network. A hierarchical congestion…

Data Structures and Algorithms · Computer Science 2025-12-22 Monika Henzinger , Robin Münk , Harald Räcke

Graph pattern mining applications try to find all embeddings that match specific patterns. Compared to the traditional graph computation, graph mining applications are computation-intensive. The state-of-the-art method, pattern enumeration,…

Hardware Architecture · Computer Science 2021-04-20 Gengyu Rao , Jingji Chen , Jason Yik , Xuehai Qian

Getting a labeling of vertices close to the structure of the graph has been proved to be of interest in many applications e.g., to follow smooth signals indexed by the vertices of the network. This question can be related to a graph…

Discrete Mathematics · Computer Science 2015-02-17 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

Path optimization is a fundamental concern across various real-world scenarios, ranging from traffic congestion issues to efficient data routing over the internet. The Traffic Assignment Problem (TAP) is a classic continuous optimization…

Disordered Systems and Neural Networks · Physics 2025-04-21 Rayan Harfouche , Giovanni Piccioli , Lenka Zdeborová

We address the problem of computing the distribution of induced connected subgraphs, aka \emph{graphlets} or \emph{motifs}, in large graphs. The current state-of-the-art algorithms estimate the motif counts via uniform sampling, by…

Data Structures and Algorithms · Computer Science 2021-07-20 Marco Bressan , Stefano Leucci , Alessandro Panconesi

An instance of the graph-constrained max-cut (GCMC) problem consists of (i) an undirected graph G and (ii) edge-weights on a complete undirected graph on the same vertex set. The objective is to find a subset of vertices satisfying some…

Data Structures and Algorithms · Computer Science 2018-10-18 Jon Lee , Viswanath Nagarajan , Xiangkun Shen

A dominating set of a graph is a set of vertices such that every vertex not in the set has at least one neighbor in the set. The problem of counting dominating sets is #P-complete for chordal graphs but solvable in polynomial time for its…

Discrete Mathematics · Computer Science 2022-07-04 Min-Sheng Lin

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

Databases · Computer Science 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

Finding paths in graphs is a fundamental graph-theoretic task. In this work, we we are concerned with finding a path with some constraints on its length and the number of vertices neighboring the path, that is, being outside of and incident…

Computational Complexity · Computer Science 2019-05-28 Max-Jonathan Luckow , Till Fluschnik

Graph matching is a fundamental problem in pattern recognition, with many applications such as software analysis and computational biology. One well-known type of graph matching problem is graph isomorphism, which consists of deciding if…

Artificial Intelligence · Computer Science 2023-12-18 Miguel Terra-Neves , José Amaral , Alexandre Lemos , Rui Quintino , Pedro Resende , Antonio Alegria

Automata networks are a very general model of interacting entities, with applications to biological phenomena such as gene regulation. In many contexts, the order in which entities update their state is unknown, and the dynamics may be very…

Discrete Mathematics · Computer Science 2020-04-07 Camille Noûs , Kévin Perrot , Sylvain Sené , Lucas Venturini

Graph embedding is the task of representing nodes of a graph in a low-dimensional space and its applications for graph tasks have gained significant traction in academia and industry. The primary difference among the many recently proposed…

Social and Information Networks · Computer Science 2019-08-28 Palash Goyal , Di Huang , Ankita Goswami , Sujit Rokka Chhetri , Arquimedes Canedo , Emilio Ferrara

Graph is a well known data structure to represent the associated relationships in a variety of applications, e.g., data science and machine learning. Despite a wealth of existing efforts on developing graph processing systems for improving…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-28 Chuangyi Gui , Long Zheng , Bingsheng He , Cheng Liu , Xinyu Chen , Xiaofei Liao , Hai Jin

The capacity of unifilar finite-state channels in the presence of feedback is investigated. We derive a new evaluation method to extract graph-based encoders with their achievable rates, and to compute upper bounds to examine their…

Information Theory · Computer Science 2019-07-19 Oron Sabag , Bashar Huleihel , Haim Permuter

Closeness Centrality (CC) and Betweenness Centrality (BC) are crucial metrics in network analysis, providing essential reference for discerning the significance of nodes within complex networks. These measures find wide applications in…

Social and Information Networks · Computer Science 2024-03-11 Yiwei Zou , Ting Li , Zong-fu Luo

The escalating complexity of network threats and the inherent class imbalance in traffic data present formidable challenges for modern Intrusion Detection Systems (IDS). While Graph Neural Networks (GNNs) excel in modeling topological…

Machine Learning · Computer Science 2026-04-15 Tianxiang Xu , Zhichao Wen , Xinyu Zhao , Qi Hu , Yan Li , Chang Liu