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A recent study characterizing failures in computer networks shows that transient single element (node/link) failures are the dominant failures in large communication networks like the Internet. Thus, having the routing paths globally…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-11-11 Amit M. Bhosle , Teofilo F. Gonzalez

We study the problem of evaluating persistent queries over streaming graphs in a principled fashion. These queries need to be evaluated over unbounded and very high speed graph streams. We define a streaming graph data model and query model…

Databases · Computer Science 2021-08-03 Anil Pacaci , Angela Bonifati , M. Tamer Özsu

We consider several basic questions on distributed routing in directed graphs with multiple additive costs, or metrics, and multiple constraints. Distributed routing in this sense is used in several protocols, such as IS-IS and OSPF. A…

Networking and Internet Architecture · Computer Science 2023-10-12 Sergey Komech , Andrey Kupavskii , Alexei Vezolainen

Large-scale knowledge graphs are increasingly common in many domains. Their large sizes often exceed the limits of systems storing the graphs in a centralized data store, especially if placed in main memory. To overcome this, large…

Databases · Computer Science 2022-03-29 Amitabh Priyadarshi , Krzysztof J. Kochut

Paths are important structural elements in complex networks because they are finite (unlike walks), related to effective node coverage (minimum spanning trees), and can be understood as being dual to star connectivity. This article…

Physics and Society · Physics 2007-12-05 Luciano da Fontoura Costa

Property graphs are a common form of linked data, with path queries used to traverse and explore them for enterprise transactions and mining. Temporal property graphs are a recent variant where time is a first-class entity to be queried…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-16 Shriram Ramesh , Animesh Baranawal , Yogesh Simmhan

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

Databases · Computer Science 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

We consider data structures for graphs where we maintain a subset of the nodes called sites, and allow proximity queries, such as asking for the closest site to a query node, and update operations that enable or disable nodes as sites. We…

Data Structures and Algorithms · Computer Science 2020-01-07 David Eppstein , Michael T. Goodrich , Nil Mamano

Directed graphs have been widely used in Community Question Answering services (CQAs) to model asymmetric relationships among different types of nodes in CQA graphs, e.g., question, answer, user. Asymmetric transitivity is an essential…

Artificial Intelligence · Computer Science 2018-11-07 Jiankai Sun , Bortik Bandyopadhyay , Armin Bashizade , Jiongqian Liang , P. Sadayappan , Srinivasan Parthasarathy

Exchangeable random graphs serve as an important probabilistic framework for the statistical analysis of network data. In this work we develop an alternative parameterization for a large class of exchangeable random graphs, where the nodes…

Statistics Theory · Mathematics 2020-05-01 Jing Lei

Graphs are used in many disciplines to model the relationships that exist between objects in a complex discrete system. Researchers may wish to compare a network of interest to a "typical" graph from a family (or ensemble) of graphs which…

Combinatorics · Mathematics 2025-08-08 Catherine Greenhill

Even if path planning can be solved using standard techniques from dynamic programming and control, the problem can also be approached using probabilistic inference. The algorithms that emerge using the latter framework bear some appealing…

Gas transport and other complex real-world challenges often require solving and controlling partial differential equations (PDEs) defined on graph structures, which typically demand substantial memory and computational resources. The Random…

Numerical Analysis · Mathematics 2025-06-16 Martín Hernández , Enrique Zuazua

Segment Routing is a recent network technology that helps optimizing network throughput by providing finer control over the routing paths. Instead of routing directly from a source to a target, packets are routed via intermediate waypoints.…

Computational Complexity · Computer Science 2025-01-08 Cristina Bazgan , Morgan Chopin , André Nichterlein , Camille Richer

Reasoning over paths in large scale knowledge graphs is an important problem for many applications. In this paper we discuss a simple approach to automatically build and rank paths between a source and target entity pair with learned…

Artificial Intelligence · Computer Science 2019-11-04 Saatviga Sudhahar , Ian Roberts , Andrea Pierleoni

For a wide variety of regularization methods, algorithms computing the entire solution path have been developed recently. Solution path algorithms do not only compute the solution for one particular value of the regularization parameter but…

Machine Learning · Computer Science 2009-03-30 Bernd Gärtner , Joachim Giesen , Martin Jaggi , Torsten Welsch

Grid Computing is a type of parallel and distributed systems that is designed to provide reliable access to data and computational resources in wide area networks. These resources are distributed in different geographical locations, however…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-27 Sheida Dayyani , Mohammad Reza Khayyambashi

Graphs are ubiquitous and ever-present data structures that have a wide range of applications involving social networks, knowledge bases and biological interactions. The evolution of a graph in such scenarios can yield important insights…

Data Structures and Algorithms · Computer Science 2019-02-15 Lefteris Zervakis , Vinay Setty , Christos Tryfonopoulos , Katja Hose

We pose a new and intriguing question motivated by distributed computing regarding random walks on graphs: How long does it take for several independent random walks, starting from the same vertex, to cover an entire graph? We study the…

Probability · Mathematics 2007-11-20 Noga Alon , Chen Avin , Michal Koucky , Gady Kozma , Zvi Lotker , Mark R. Tuttle

Binary relations are one of the standard ways to encode, characterise and reason about graphs. Relation algebras provide equational axioms for a large fragment of the calculus of binary relations. Although relations are standard tools in…

Logic in Computer Science · Computer Science 2018-12-18 Rudolf Berghammer , Hitoshi Furusawa , Walter Guttmann , Peter Höfner
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