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Constraint satisfaction problems are computational problems that naturally appear in many areas of theoretical computer science. One of the central themes is their computational complexity, and in particular the border between…

Computational Complexity · Computer Science 2026-04-28 Manuel Bodirsky

Retrieving code functions, classes or files that are relevant in order to solve a given user query, bug report or feature request from large codebases is a fundamental challenge for Large Language Model (LLM)-based coding agents. Agentic…

Software Engineering · Computer Science 2026-02-09 Shravan Chaudhari , Rahul Thomas Jacob , Mononito Goswami , Jiajun Cao , Shihab Rashid , Christian Bock

Networks are one of the most valuable data structures for modeling problems in the real world. However, the most recent node embedding strategies have focused on undirected graphs, with limited attention to directed graphs, especially…

Machine Learning · Computer Science 2023-11-27 Xiyang Sun , Fumiyasu Komaki

Graph embedding methods produce unsupervised node features from graphs that can then be used for a variety of machine learning tasks. Modern graphs, particularly in industrial applications, contain billions of nodes and trillions of edges,…

Machine Learning · Computer Science 2019-12-05 Adam Lerer , Ledell Wu , Jiajun Shen , Timothee Lacroix , Luca Wehrstedt , Abhijit Bose , Alex Peysakhovich

Constraint Satisfaction Problems (CSPs) play a central role in many applications in Artificial Intelligence and Operations Research. In general, solving CSPs is NP-complete. The structure of CSPs is best described by hypergraphs. Therefore,…

Artificial Intelligence · Computer Science 2021-01-01 Georg Gottlob , Matthias Lanzinger , Davide Mario Longo , Cem Okulmus , Reinhard Pichler

Bigraph reactive systems offer a powerful and flexible mathematical framework for modelling both spatial and non-spatial relationships between agents, with practical applications in domains such as smart technologies, networks, sensor…

Logic in Computer Science · Computer Science 2026-01-08 Kyle Burns , Michele Sevegnani , Ciaran McCreesh , James Trimble

There has been intensive work on the parameterized complexity of the typically NP-hard task to edit undirected graphs into graphs fulfilling certain given vertex degree constraints. In this work, we lift the investigations to the case of…

Discrete Mathematics · Computer Science 2018-02-01 Robert Bredereck , Vincent Froese , Marcel Koseler , Marcelo Garlet Millani , André Nichterlein , Rolf Niedermeier

Gurski and Wanke showed that a graph class C has bounded tree-width if and only if its associated class of directed line graphs has bounded clique-width. Inevitably -- asking whether this relationship lifts to directed graphs -- we…

Combinatorics · Mathematics 2025-02-24 Benjamin Merlin Bumpus , Kitty Meeks , William Pettersson

Graph encoder embedding, a recent technique for graph data, offers speed and scalability in producing vertex-level representations from binary graphs. In this paper, we extend the applicability of this method to a general graph model, which…

Machine Learning · Statistics 2024-10-24 Cencheng Shen

Learning with limited data is one of the biggest problems of machine learning. Current approaches to this issue consist in learning general representations from huge amounts of data before fine-tuning the model on a small dataset of…

Machine Learning · Computer Science 2023-02-22 Grégoire Mialon

Constraint satisfaction problems (CSPs) are a class of problems that are ubiquitous in science and engineering. It features a collection of constraints specified over subsets of variables. A CSP can be solved either directly or by reducing…

Computational Physics · Physics 2025-01-03 Xuanzhao Gao , Xiaofeng Li , Jinguo Liu

Given a graph $G$, the maximal induced subgraphs problem asks to enumerate all maximal induced subgraphs of $G$ that belong to a certain hereditary graph class. While its optimization version, known as the minimum vertex deletion problem in…

Data Structures and Algorithms · Computer Science 2020-04-22 Yixin Cao

Embedding-based retrieval (EBR) is a technique to use embeddings to represent query and document, and then convert the retrieval problem into a nearest neighbor search problem in the embedding space. Some previous works have mainly focused…

Information Retrieval · Computer Science 2023-05-09 Wenbiao Li , Pan Tang , Zhengfan Wu , Weixue Lu , Minghua Zhang , Zhenlei Tian , Daiting Shi , Yu Sun , Simiu Gu , Dawei Yin

The Constraint Satisfaction Problem (CSP) is a problem of computing a homomorphism $\mathbf{R}\to \mathbf{\Gamma}$ between two relational structures, where $\mathbf{R}$ is defined over a domain $V$ and $\mathbf{\Gamma}$ is defined over a…

Computational Complexity · Computer Science 2023-11-21 Rustem Takhanov

The graph isomorphism, subgraph isomorphism, and graph edit distance problems are combinatorial problems with many applications. Heuristic exact and approximate algorithms for each of these problems have been developed for different kinds…

Logic in Computer Science · Computer Science 2019-11-27 Sheung Chi Chan , James Cheney

Structural node embeddings, vectors capturing local connectivity information for each node in a graph, have many applications in data mining and machine learning, e.g., network alignment and node classification, clustering and anomaly…

Social and Information Networks · Computer Science 2022-07-22 Ciwan Ceylan , Kambiz Ghoorchian , Danica Kragic

It has been shown that word embeddings derived from large corpora tend to incorporate biases present in their training data. Various methods for mitigating these biases have been proposed, but recent work has demonstrated that these methods…

Computation and Language · Computer Science 2023-06-27 Hailey Joren , David Alvarez-Melis

Disjunctive Answer Set Programming (ASP) is a powerful declarative programming paradigm whose main decision problems are located on the second level of the polynomial hierarchy. Identifying tractable fragments and developing efficient…

Artificial Intelligence · Computer Science 2017-01-02 Bernhard Bliem , Sebastian Ordyniak , Stefan Woltran

Bipartite graph embedding (BGE) maps nodes to compressed embedding vectors that can reflect the hidden topological features of the network, and learning high-quality BGE is crucial for facilitating downstream applications such as…

Social and Information Networks · Computer Science 2024-10-15 Shanfan Zhang , Yongyi Lin , Yuan Rao , Zhan Bu

We transform join ordering into a mixed integer linear program (MILP). This allows to address query optimization by mature MILP solver implementations that have evolved over decades and steadily improved their performance. They offer…

Databases · Computer Science 2015-11-09 Immanuel Trummer , Christoph Koch