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In this paper we consider Contact graphs of Paths on a Grid (CPG graphs), i.e. graphs for which there exists a family of interiorly disjoint paths on a grid in one-to-one correspondence with their vertex set such that two vertices are…

Computational Geometry · Computer Science 2018-09-07 Zakir Deniz , Esther Galby , Andrea Munaro , Bernard Ries

A massive multiple-input multiple-output (MIMO) system, operating in Frequency Division Duplexing (FDD) mode of operation, suffers from prohibitively high overhead associated with downlink channel state information (CSI) acquisition and…

Information Theory · Computer Science 2018-08-16 Abdelrahman A. H. Anis , Bassant Abdelhamid , Salwa Elramly

Listing triangles is a fundamental graph problem with many applications, and large graphs require fast algorithms. Vertex ordering allows the orientation of edges from lower to higher vertex indices, and state-of-the-art triangle listing…

Data Structures and Algorithms · Computer Science 2022-11-03 Fabrice Lécuyer , Louis Jachiet , Clémence Magnien , Lionel Tabourier

Given a graph $G$ rooted at a vertex $r$ and weight functions, $\gamma, \tau: E(G) \rightarrow \mathbb{R}$, the generalized cable-trench problem (CTP) is to find a single spanning tree that simultaneously minimizes the sum of the total edge…

Combinatorics · Mathematics 2025-02-12 Mya Davis , Carl Hammarsten , Siddarth Menon , Maria Pasaylo , Dane Sheridan

GraphRAG is increasingly adopted for converting unstructured corpora into graph structures to enable multi-hop reasoning. However, standard graph algorithms rely heavily on static connectivity and explicit edges, often failing in real-world…

Computation and Language · Computer Science 2026-03-17 Hang Gao , Dimitris N. Metaxas

The triad census is an important approach to understand local structure in network science, providing comprehensive assessments of the observed relational configurations between triples of actors in a network. However, researchers are often…

Data Structures and Algorithms · Computer Science 2019-05-02 Jeffrey Lienert , Laura Koehly , Felix Reed-Tsochas , Christopher Steven Marcum

Click-through-rate (CTR) prediction has an essential impact on improving user experience and revenue in e-commerce search. With the development of deep learning, graph-based methods are well exploited to utilize graph structure extracted…

Information Retrieval · Computer Science 2024-07-08 Pipi Peng , Yunqing Jia , Ziqiang Zhou , murmurhash , Zichong Xiao

A communication network can be modeled as a directed connected graph with edge weights that characterize performance metrics such as loss and delay. Network tomography aims to infer these edge weights from their pathwise versions measured…

Optimization and Control · Mathematics 2019-08-12 Mahmood Ettehad , Nick Duffield , Gregory Berkolaiko

Graph neural networks (GNNs) have attracted significant attention for their outstanding performance in graph learning and node classification tasks. However, their vulnerability to adversarial attacks, particularly through susceptible…

Machine Learning · Computer Science 2024-11-19 Sepideh Neshatfar , Salimeh Yasaei Sekeh

Graphs and networks are used to model interactions in a variety of contexts. There is a growing need to quickly assess the characteristics of a graph in order to understand its underlying structure. Some of the most useful metrics are…

Social and Information Networks · Computer Science 2014-12-02 Tamara G. Kolda , Ali Pinar , Todd Plantenga , C. Seshadhri , Christine Task

Transaction graphs, which represent financial and trade transactions between entities such as bank accounts and companies, can reveal patterns indicative of financial crimes like money laundering and fraud. However, effective detection of…

Machine Learning · Computer Science 2025-03-24 Steve Gounoue , Ashutosh Sao , Simon Gottschalk

A conflict graph represents logical relations between binary variables, and effective use of the graph can significantly accelerate branch-and-cut solvers for mixed-integer programming (MIP). In this paper we develop efficient parallel…

Optimization and Control · Mathematics 2025-06-18 Yongzheng Dai , Chen Chen

This paper explores whether graph embedding methods can be used as a tool for analysing the robustness of power-grids within the framework of network science. The paper focuses on the strain elevation tension spring embedding (SETSe)…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Jonathan Bourne

The state-of-the-art coding schemes for topological interference management (TIM) problems are usually handcrafted for specific families of network topologies, relying critically on experts' domain knowledge. This inevitably restricts the…

Information Theory · Computer Science 2023-05-15 Zhiwei Shan , Xinping Yi , Han Yu , Chung-Shou Liao , Shi Jin

The availability of wide-ranging third-party intellectual property (3PIP) cores enables integrated circuit (IC) designers to focus on designing high-level features in ASICs/SoCs. The massive proliferation of ICs brings with it an increased…

Machine Learning · Computer Science 2022-03-07 Nikhil Muralidhar , Abdullah Zubair , Nathanael Weidler , Ryan Gerdes , Naren Ramakrishnan

Using particle-scale models to accurately describe property enhancements and phase transitions in macroscopic behavior is a major engineering challenge in composite materials science. To address some of these challenges, we use the graph…

Disordered Systems and Neural Networks · Physics 2018-09-12 Samuel Heroy , Dane Taylor , Feng Shi , M. Gregory Forest , Peter J. Mucha

Training on large-scale graphs has achieved remarkable results in graph representation learning, but its cost and storage have raised growing concerns. As one of the most promising directions, graph condensation methods address these issues…

Machine Learning · Computer Science 2024-09-30 Tianle Zhang , Yuchen Zhang , Kun Wang , Kai Wang , Beining Yang , Kaipeng Zhang , Wenqi Shao , Ping Liu , Joey Tianyi Zhou , Yang You

In this paper, we study the distributed sketching complexity of connectivity. In distributed graph sketching, an $n$-node graph $G$ is distributed to $n$ players such that each player sees the neighborhood of one vertex. The players then…

Data Structures and Algorithms · Computer Science 2020-07-27 Huacheng Yu

The advance of topological interference management (TIM) has been one of the driving forces of recent developments in network information theory. However, state-of-the-art coding schemes for TIM are usually handcrafted for specific families…

Information Theory · Computer Science 2025-02-14 Zhiwei Shan , Xinping Yi , Han Yu , Chung-Shou Liao , Shi Jin

Graph embedding techniques allow to learn high-quality feature vectors from graph structures and are useful in a variety of tasks, from node classification to clustering. Existing approaches have only focused on learning feature vectors for…

Artificial Intelligence · Computer Science 2019-05-29 Valeria Fionda , Giuseppe Pirró