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Algorithms for laying out large graphs have seen significant progress in the past decade. However, browsing large graphs remains a challenge. Rendering thousands of graphical elements at once often results in a cluttered image, and…

Coverage analysis is essential for validating the safety of autonomous driving systems, yet existing approaches typically assess coverage factors individually or in limited combinations, struggling to capture the complex interactions…

Methodology · Statistics 2026-02-03 Thomas Muehlenstädt , Marius Bause

Core decomposition is a fundamental graph problem with a large number of applications. Most existing approaches for core decomposition assume that the graph is kept in memory of a machine. Nevertheless, many real-world graphs are big and…

Databases · Computer Science 2015-11-03 Dong Wen , Lu Qin , Ying Zhang , Xuemin Lin , Jeffrey Xu Yu

We present a graph-theoretic framework for constructing floor plans that support non-rectangular modules, with particular emphasis on L-shaped and T-shaped geometries. Unlike traditional approaches that primarily focus on rectangular…

Combinatorics · Mathematics 2026-01-05 Rohit Lohani , Ravi Suthar , Krishnendra Shekhawat

Graphs are a fundamental abstraction for modeling relational data. However, graphs are discrete and combinatorial in nature, and learning representations suitable for machine learning tasks poses statistical and computational challenges. In…

Machine Learning · Statistics 2019-05-16 Aditya Grover , Aaron Zweig , Stefano Ermon

Large language models have evolved to process multiple modalities beyond text, such as images and audio, which motivates us to explore how to effectively leverage them for graph reasoning tasks. The key question, therefore, is how to…

Sparse, irregular graphs show up in various applications like linear algebra, machine learning, engineering simulations, robotic control, etc. These graphs have a high degree of parallelism, but their execution on parallel threads of modern…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-17 Nimish Shah , Wannes Meert , Marian Verhelst

The rise of graph analytic systems has created a need for ways to measure and compare the capabilities of these systems. Graph analytics present unique scalability difficulties. The machine learning, high performance computing, and visual…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-07 Siddharth Samsi , Vijay Gadepally , Michael Hurley , Michael Jones , Edward Kao , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Steven Smith , William Song , Diane Staheli , Jeremy Kepner

A page (queue) with respect to a vertex ordering of a graph is a set of edges such that no two edges cross (nest), i.e., have their endpoints ordered in an ABAB-pattern (ABBA-pattern). A union page (union queue) is a vertex-disjoint union…

Combinatorics · Mathematics 2021-08-13 Stefan Felsner , Laura Merker , Torsten Ueckerdt , Pavel Valtr

We identify the graph data structure, frontiers, operators, an iterative loop structure, and convergence conditions as essential components of graph analytics systems based on the native-graph approach. Using these essential components, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-19 Muhammad Osama , Serban D. Porumbescu , John D. Owens

A GraphMaps is a system that visualizes a graph using zoom levels, which is similar to a geographic map visualization. GraphMaps reveals the structural properties of the graph and enables users to explore the graph in a natural way by using…

Computational Geometry · Computer Science 2018-08-14 Debajyoti Mondal , Lev Nachmanson

The value of graph-based big data can be unlocked by exploring the topology and metrics of the networks they represent, and the computational approaches to this exploration take on many forms. The use-case of performing global computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-13 Miguel E. Coimbra , Alexandre P. Francisco , Luís Veiga

In this work, we give a unifying view of locality in four settings: distributed algorithms, sequential greedy algorithms, dynamic algorithms, and online algorithms. We introduce a new model of computing, called the online-LOCAL model: the…

Data Structures and Algorithms · Computer Science 2022-11-15 Amirreza Akbari , Navid Eslami , Henrik Lievonen , Darya Melnyk , Joona Särkijärvi , Jukka Suomela

Graph is a ubiquitous structure in many domains. The rapidly increasing data volume calls for efficient and scalable graph data processing. In recent years, designing distributed graph processing systems has been an increasingly important…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Xubo Wang , Lu Qin , Lijun Chang , Ying Zhang , Dong Wen , Xuemin Lin

We propose a recipe on how to build a general, powerful, scalable (GPS) graph Transformer with linear complexity and state-of-the-art results on a diverse set of benchmarks. Graph Transformers (GTs) have gained popularity in the field of…

Machine Learning · Computer Science 2023-01-18 Ladislav Rampášek , Mikhail Galkin , Vijay Prakash Dwivedi , Anh Tuan Luu , Guy Wolf , Dominique Beaini

Stream graphs model highly dynamic networks in which nodes and/or links arrive and/or leave over time. Strongly connected components in stream graphs were defined recently, but no algorithm was provided to compute them. We present here…

Social and Information Networks · Computer Science 2021-09-03 Léo Rannou , Clémence Magnien , Matthieu Latapy

In this paper, we propose a graph classification approach for automatically determining whether to use a monolithic or a decomposition-based solution method. In this approach, an optimization problem is represented as a graph that captures…

Optimization and Control · Mathematics 2023-10-12 Ilias Mitrai , Prodromos Daoutidis

Aiming at better representing multivariate relationships, this paper investigates a motif dimensional framework for higher-order graph learning. The graph learning effectiveness can be improved through OFFER. The proposed framework mainly…

Social and Information Networks · Computer Science 2020-08-31 Shuo Yu , Feng Xia , Jin Xu , Zhikui Chen , Ivan Lee

There exist many orthogonal graph drawing algorithms that minimize edge crossings or edge bends, however they produce unsatisfactory drawings in many practical cases. In this paper we present a grid-based algorithm for drawing orthogonal…

Other Computer Science · Computer Science 2018-07-26 Karlis Freivalds , Jans Glagolevs

Graph algorithms play an important role in many computer science areas. In order to solve problems that can be modeled using graphs, it is necessary to use a data structure that can represent those graphs in an efficient manner. On top of…

Mathematical Software · Computer Science 2023-08-22 Cristian Frăsinaru , Emanuel Florentin Olariu