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The graphs with permutation-representation number (\textit{prn}) at most two are known. While a characterization for the class of graphs with the \textit{prn} at most three is an open problem, we summarize the graphs of this class that are…

Discrete Mathematics · Computer Science 2023-10-03 Khyodeno Mozhui , K. V. Krishna

Correlation Clustering is an elegant model that captures fundamental graph cut problems such as Min $s-t$ Cut, Multiway Cut, and Multicut, extensively studied in combinatorial optimization. Here, we are given a graph with edges labeled $+$…

Data Structures and Algorithms · Computer Science 2017-04-04 Moses Charikar , Neha Gupta , Roy Schwartz

Broadcasting in a computer network is a method of transferring a message to all recipients simultaneously. It is common in this situation to use a tree with many leaves to perform the broadcast, as internal nodes have to forward the…

Data Structures and Algorithms · Computer Science 2020-07-16 Cristina G. Fernandes , Carla N. Lintzmayer

An instance of the Connected Maximum Cut problem consists of an undirected graph G = (V, E) and the goal is to find a subset of vertices S $\subseteq$ V that maximizes the number of edges in the cut \delta(S) such that the induced graph…

Data Structures and Algorithms · Computer Science 2015-07-03 MohammadTaghi Hajiaghayi , Guy Kortsarz , Robert MacDavid , Manish Purohit , Kanthi Sarpatwar

Recent findings in neuroscience suggest that the human brain represents information in a geometric structure (for instance, through conceptual spaces). In order to communicate, we flatten the complex representation of entities and their…

Machine Learning · Computer Science 2020-02-05 Agnieszka Słowik , Abhinav Gupta , William L. Hamilton , Mateja Jamnik , Sean B. Holden

We introduce and study the general problem of finding a most "scale-free-like" spanning tree of a connected graph. It is motivated by a particular problem in epidemiology, and may be useful in studies of various dynamical processes in…

Combinatorics · Mathematics 2023-07-12 Yury Orlovich , Kirill Kukharenko , Volker Kaibel , Pavel Skums

Graph convolutional neural networks (Graph-CNNs) extend traditional CNNs to handle data that is supported on a graph. Major challenges when working with data on graphs are that the support set (the vertices of the graph) do not typically…

Computer Vision and Pattern Recognition · Computer Science 2018-12-06 Yingxue Zhang , Michael Rabbat

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

The problem of matching a query string to a directed graph, whose vertices are labeled by strings, has application in different fields, from data mining to computational biology. Several variants of the problem have been considered,…

Data Structures and Algorithms · Computer Science 2020-01-08 Riccardo Dondi , Giancarlo Mauri , Italo Zoppis

Text clustering holds significant value across various domains due to its ability to identify patterns and group related information. Current approaches which rely heavily on a computed similarity measure between documents are often limited…

Information Retrieval · Computer Science 2025-04-09 Laurence Hirsch , Robin Hirsch , Bayode Ogunleye

Graph Neural Networks (GNNs) have emerged as an efficient alternative to convolutional approaches for vision tasks such as image classification, leveraging patch-based representations instead of raw pixels. These methods construct graphs…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Nikolaos Chaidos , Angeliki Dimitriou , Nikolaos Spanos , Athanasios Voulodimos , Giorgos Stamou

Graph Representation Learning (GRL) has experienced significant progress as a means to extract structural information in a meaningful way for subsequent learning tasks. Current approaches including shallow embeddings and Graph Neural…

Machine Learning · Computer Science 2020-06-19 Antonia Gogoglou , C. Bayan Bruss , Brian Nguyen , Reza Sarshogh , Keegan E. Hines

This paper proposes a novel hybrid neuro-symbolic framework for the optimal and scalable deployment of component-based applications in the Cloud. The challenge of efficiently mapping application components to virtual machines (VMs) across…

Logic in Computer Science · Computer Science 2025-12-01 Madalina Erascu

A split graph is a graph whose vertex set can be partitioned into a clique and an independent set. The word-representability of split graphs was studied in a series of papers in the literature, and the class of word-representable split…

Combinatorics · Mathematics 2025-04-29 Tithi Dwary , Khyodeno Mozhui , K. V. Krishna

One of the most important combinatorial optimization problems is graph coloring. There are several variations of this problem involving additional constraints either on vertices or edges. They constitute models for real applications, such…

Data Structures and Algorithms · Computer Science 2016-06-17 Rosiane de Freitas , Bruno Dias , Nelson Maculan , Jayme Szwarcfiter

Representing structured text from complex documents typically calls for different machine learning techniques, such as language models for paragraphs and convolutional neural networks (CNNs) for table extraction, which prohibits drawing…

Computation and Language · Computer Science 2022-02-21 Thomas Roland Barillot , Jacob Saks , Polena Lilyanova , Edward Torgas , Yachen Hu , Yuanqing Liu , Varun Balupuri , Paul Gaskell

Volumetric image segmentation with convolutional neural networks (CNNs) encounters several challenges, which are specific to medical images. Among these challenges are large volumes of interest, high class imbalances, and difficulties in…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Fabian Balsiger , Yannick Soom , Olivier Scheidegger , Mauricio Reyes

This work addresses the challenge of using a deep learning model to prune graphs and the ability of this method to integrate explainability into spatio-temporal problems through a new approach. Instead of applying explainability to the…

Machine Learning · Computer Science 2025-10-14 Javier García-Sigüenza , Mirco Nanni , Faraón Llorens-Largo , José F. Vicent

In light of the recent success of Graph Neural Networks (GNNs) and their ability to perform inference on complex data structures, many studies apply GNNs to the task of text classification. In most previous methods, a heterogeneous graph,…

Machine Learning · Computer Science 2024-10-29 Yassine Abbahaddou , Johannes F. Lutzeyer , Michalis Vazirgiannis

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti