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Given a graph $G$, the longest path problem asks to compute a simple path of $G$ with the largest number of vertices. This problem is the most natural optimization version of the well known and well studied Hamiltonian path problem, and…

Discrete Mathematics · Computer Science 2010-04-27 George B. Mertzios , Derek G. Corneil

A number of problems in parallel computing require reasoning about the dependency structure in parallel programs. For example, dynamic race detection relies on efficient "on-the-fly" determination of dependencies between sequential and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-02 Sam Westrick , Larry Wang , Umut A. Acar

We consider here the problem of obtaining reliable, consistent information from inconsistent databases -- databases that do not have to satisfy given integrity constraints. We use the notion of consistent query answer -- a query answer…

Databases · Computer Science 2007-05-23 Jan Chomicki , Jerzy Marcinkowski

The issue of data-driven neural network model construction is one of the core problems in the domain of Artificial Intelligence. A standard approach assumes a fixed architecture with trainable weights. A conceptually more advanced…

Machine Learning · Computer Science 2025-07-03 Szymon Świderski , Agnieszka Jastrzębska

Representing graphs by their homomorphism counts has led to the beautiful theory of homomorphism indistinguishability in recent years. Moreover, homomorphism counts have promising applications in database theory and machine learning, where…

Data Structures and Algorithms · Computer Science 2023-10-16 Jan Böker , Louis Härtel , Nina Runde , Tim Seppelt , Christoph Standke

Simplicial complexes are extensively studied in the field of algebraic topology. They have gained attention in recent time due to their applications in fields like theoretical distributed computing and simplicial neural networks. Graphs are…

Discrete Mathematics · Computer Science 2025-12-16 Sukrit Chakraborty , Prasanta Choudhury , Arindam Mukherjee

In classical planning and conformant planning, it is assumed that there are finitely many named objects given in advance, and only they can participate in actions and in fluents. This is the Domain Closure Assumption (DCA). However, there…

Artificial Intelligence · Computer Science 2025-08-06 Mikhail Soutchanski , Yongmei Liu

Learning of interpretable classification models has been attracting much attention for the last few years. Discovery of succinct and contrasting patterns that can highlight the differences between the two classes is very important. Such…

Databases · Computer Science 2020-04-20 Hiroaki Iwashita , Takuya Takagi , Hirofumi Suzuki , Keisuke Goto , Kotaro Ohori , Hiroki Arimura

Learning causal relations from observational data is challenging because the graph search space grows super-exponentially with the number of variables. Ordering-based methods reduce this space by first identifying the topological ordering,…

Machine Learning · Computer Science 2026-05-19 Rafat Ashraf Joy , Elena Zheleva

The Fenwick tree is a classical implicit data structure that stores an array in such a way that modifying an element, accessing an element, computing a prefix sum and performing a predecessor search on prefix sums all take logarithmic time.…

Data Structures and Algorithms · Computer Science 2019-10-15 Stefano Marchini , Sebastiano Vigna

Reconfigurable optical topologies promise to improve the performance in datacenters by dynamically optimizing the physical network in a demand-aware manner. State-of-the-art optical technologies allow to establish and update direct…

Data Structures and Algorithms · Computer Science 2023-01-18 Kathrin Hanauer , Monika Henzinger , Stefan Schmid , Jonathan Trummer

Introduced the quantitative measure of the structural complexity of the graph (complex network, etc.) based on a procedure similar to the renormalization process, considering the difference between actual and averaged graph structures on…

Physics and Society · Physics 2024-06-05 A. A. Snarskii

Most graphs in real life keep changing with time. These changes can be in the form of insertion or deletion of edges or vertices. Such rapidly changing graphs motivate us to study dynamic graph algorithms. However, three important graph…

Data Structures and Algorithms · Computer Science 2018-08-07 Manoj Gupta , Shahbaz Khan

We consider the problem of finding a 1-planar drawing for a general graph, where a 1-planar drawing is a drawing in which each edge participates in at most one crossing. Since this problem is known to be NP-hard we investigate the…

Data Structures and Algorithms · Computer Science 2018-12-18 Michael J. Bannister , Sergio Cabello , David Eppstein

Causal discovery is a crucial initial step in establishing causality from empirical data and background knowledge. Numerous algorithms have been developed for this purpose. Among them, the score-matching method has demonstrated superior…

Machine Learning · Statistics 2026-04-14 Hao Chen , Kai Yi

The dynamic partial sorting problem asks for an algorithm that maintains lists of numbers under the link, cut and change value operations, and queries the sorted sequence of the $k$ least numbers in one of the lists. We first solve the…

Data Structures and Algorithms · Computer Science 2014-04-21 Jiamou Liu , Kostya Ross

Repairing inconsistent knowledge bases is a task that has been assessed, with great advances over several decades, from within the knowledge representation and reasoning and the database theory communities. As information becomes more…

Databases · Computer Science 2023-07-14 Sergio Abriola , Santiago Cifuentes , Nina Pardal , Edwin Pin

Querying graph databases has recently received much attention. We propose a new approach to this problem, which balances competing goals of expressive power, language clarity and computational complexity. A distinctive feature of our…

Databases · Computer Science 2017-10-13 Jakub Michaliszyn , Jan Otop , Piotr Wieczorek

In this paper, we consider the setting of graph-structured data that evolves as a result of operations carried out by users or applications. We study different reasoning problems, which range from ensuring the satisfaction of a given set of…

Artificial Intelligence · Computer Science 2014-05-30 Shqiponja Ahmetaj , Diego Calvanese , Magdalena Ortiz , Mantas Simkus

Dynamic recommendation is essential for modern recommender systems to provide real-time predictions based on sequential data. In real-world scenarios, the popularity of items and interests of users change over time. Based on this…

Information Retrieval · Computer Science 2021-01-11 Xiaohan Li , Mengqi Zhang , Shu Wu , Zheng Liu , Liang Wang , Philip S. Yu