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Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

Data Structures and Algorithms · Computer Science 2021-08-11 Alexander Noe

Recently we have witnessed the rapid development of video question answering models. However, most models can only handle simple videos in terms of temporal reasoning, and their performance tends to drop when answering temporal-reasoning…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Yueqian Wang , Yuxuan Wang , Kai Chen , Dongyan Zhao

The seminal work of Ahn, Guha, and McGregor in 2012 introduced the graph sketching technique and used it to present the first streaming algorithms for various graph problems over dynamic streams with both insertions and deletions of edges.…

Data Structures and Algorithms · Computer Science 2023-12-11 Sepehr Assadi , Gillat Kol , Zhijun Zhang

In this paper, we study linear programming based approaches to the maximum matching problem in the semi-streaming model. The semi-streaming model has gained attention as a model for processing massive graphs as the importance of such graphs…

Data Structures and Algorithms · Computer Science 2015-03-19 Kook Jin Ahn , Sudipto Guha

In this paper, we initiate the study of the vertex coloring problem of a graph in the semi streaming model. In this model, the input graph is defined by a stream of edges, arriving in adversarial order and any algorithm must process the…

Data Structures and Algorithms · Computer Science 2018-07-26 Suman Kalyan Bera , Prantar Ghosh

We study space-pass tradeoffs in graph streaming algorithms for parameter estimation and property testing problems such as estimating the size of maximum matchings and maximum cuts, weight of minimum spanning trees, or testing if a graph is…

Data Structures and Algorithms · Computer Science 2021-04-13 Sepehr Assadi , Vishvajeet N

Many signal processing problems can be solved by maximizing the fitness of a segmented model over all possible partitions of the data interval. This letter describes a simple but powerful algorithm that searches the exponentially large…

We study the design of fixed-parameter algorithms for problems already known to be solvable in polynomial time. The main motivation is to get more efficient algorithms for problems with unattractive polynomial running times. Here, we focus…

Computational Complexity · Computer Science 2021-01-06 Archontia C. Giannopoulou , George B. Mertzios , Rolf Niedermeier

This paper considers the recently popular beyond-worst-case algorithm analysis model which integrates machine-learned predictions with online algorithm design. We consider the online Steiner tree problem in this model for both directed and…

Machine Learning · Computer Science 2023-03-21 Chenyang Xu , Benjamin Moseley

The explainability of deep networks is becoming a central issue in the deep learning community. It is the same for learning on graphs, a data structure present in many real world problems. In this paper, we propose a method that is more…

Machine Learning · Computer Science 2022-07-27 Adrien Raison , Pascal Bourdon , David Helbert

In this paper we study graph problems in dynamic streaming model, where the input is defined by a sequence of edge insertions and deletions. As many natural problems require $\Omega(n)$ space, where $n$ is the number of vertices, existing…

Data Structures and Algorithms · Computer Science 2016-05-03 Zengfeng Huang , Pan Peng

Finding heavy-elements (heavy-hitters) in streaming data is one of the central, and well-understood tasks. Despite the importance of this problem, when considering the sliding windows model of streaming (where elements eventually expire)…

Data Structures and Algorithms · Computer Science 2014-07-29 Vladimir Braverman , Ran Gelles , Rafail Ostrovsky

Neural fields have emerged as a new data representation paradigm and have shown remarkable success in various signal representations. Since they preserve signals in their network parameters, the data transfer by sending and receiving the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Junwoo Cho , Seungtae Nam , Daniel Rho , Jong Hwan Ko , Eunbyung Park

In this paper we study the Steiner tree problem over a dynamic set of terminals. We consider the model where we are given an $n$-vertex graph $G=(V,E,w)$ with positive real edge weights, and our goal is to maintain a tree which is a good…

Data Structures and Algorithms · Computer Science 2016-06-27 Jakub Łącki , Jakub Oćwieja , Marcin Pilipczuk , Piotr Sankowski , Anna Zych

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

We study a large family of graph covering problems, whose definitions rely on distances, for graphs of bounded cyclomatic number (that is, the minimum number of edges that need to be removed from the graph to destroy all cycles). These…

Discrete Mathematics · Computer Science 2025-09-03 Dibyayan Chakraborty , Florent Foucaud , Anni Hakanen

Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and…

Social and Information Networks · Computer Science 2016-02-02 Kirell Benzi , Benjamin Ricaud , Pierre Vandergheynst

In this paper we study the problem of discovering a timeline of events in a temporal network. We model events as dense subgraphs that occur within intervals of network activity. We formulate the event-discovery task as an optimization…

Social and Information Networks · Computer Science 2018-09-17 Polina Rozenshtein , Francesco Bonchi , Aristides Gionis , Mauro Sozio , Nikolaj Tatti

In this article we consider the Directed Steiner Path Cover problem on directed co-graphs. Given a directed graph G=(V,E) and a subset T of V of so-called terminal vertices, the problem is to find a minimum number of vertex-disjoint simple…

Discrete Mathematics · Computer Science 2020-12-23 Frank Gurski , Dominique Komander , Carolin Rehs , Jochen Rethmann , Egon Wanke

Schematic maps are in daily use to show the connectivity of subway systems and to facilitate travellers to plan their journeys effectively. This study surveys up-to-date algorithmic approaches in order to give an overview of the state of…

Physics and Society · Physics 2022-08-16 Hsiang-Yun Wu , Benjamin Niedermann , Shigeo Takahashi , Martin Nöllenburg