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We introduce the problem of finding a spanning tree along with a partition of the tree edges into fewest number of feasible sets, where constraints on the edges define feasibility. The motivation comes from wireless networking, where we…

Networking and Internet Architecture · Computer Science 2018-03-14 Magnus M. Halldorsson , Guy Kortsarz , Pradipta Mitra , Tigran Tonoyan

Subgraph matching is vital in knowledge graph (KG) question answering, molecule design, scene graph, code and circuit search, etc. Neural methods have shown promising results for subgraph matching. Our study of recent systems suggests…

Machine Learning · Computer Science 2025-10-28 Vaibhav Raj , Indradyumna Roy , Ashwin Ramachandran , Soumen Chakrabarti , Abir De

The goal of graph inference is to design algorithms for learning properties of a hidden graph using queries to an oracle that returns information about the graph. Graph reconstruction, verification, and property testing are all types of…

Data Structures and Algorithms · Computer Science 2025-02-26 Huck Bennett , Mitchell Black , Amir Nayyeri , Evelyn Warton

We present a deterministic near-linear time algorithm that computes the edge-connectivity and finds a minimum cut for a simple undirected unweighted graph G with n vertices and m edges. This is the first o(mn) time deterministic algorithm…

Data Structures and Algorithms · Computer Science 2018-10-30 Ken-ichi Kawarabayashi , Mikkel Thorup

Neuroscience research publications encompass a vast wealth of knowledge. Accurately retrieving existing information and discovering new insights from this extensive literature is essential for advancing the field. However, when knowledge is…

Computation and Language · Computer Science 2025-10-28 Pralaypati Ta , Sriram Venkatesaperumal , Keerthi Ram , Mohanasankar Sivaprakasam

Embedding knowledge graphs (KGs) into continuous vector spaces is a focus of current research. Early works performed this task via simple models developed over KG triples. Recent attempts focused on either designing more complicated triple…

Artificial Intelligence · Computer Science 2018-06-08 Boyang Ding , Quan Wang , Bin Wang , Li Guo

Knowledge-graph-based reasoning has drawn a lot of attention due to its interpretability. However, previous methods suffer from the incompleteness of the knowledge graph, namely the interested link or entity that can be missing in the…

Computation and Language · Computer Science 2019-12-06 Yunan Zhang , Xiang Cheng , Heting Gao , Chengxiang Zhai

Recent interest in building foundation models for KGs has highlighted a fundamental challenge: knowledge-graph data is relatively scarce. The best-known KGs are primarily human-labeled, created by pattern-matching, or extracted using early…

Computation and Language · Computer Science 2025-11-07 Belinda Mo , Kyssen Yu , Joshua Kazdan , Joan Cabezas , Proud Mpala , Lisa Yu , Chris Cundy , Charilaos Kanatsoulis , Sanmi Koyejo

We study two problems that seek a subtree $T$ of a graph $G=(V,E)$ such that $T$ satisfies a certain property and has minimal maximum degree. - In the Min-Degree Group Steiner Tree problem we are given a collection ${\cal S}$ of groups…

Data Structures and Algorithms · Computer Science 2019-10-29 Guy Kortsarz , Zeev Nutov

Question Answering over Knowledge Graph (KGQA) aims to seek answer entities for the natural language question from a large-scale Knowledge Graph~(KG). To better perform reasoning on KG, recent work typically adopts a pre-trained language…

Computation and Language · Computer Science 2024-01-02 Jinhao Jiang , Kun Zhou , Wayne Xin Zhao , Yaliang Li , Ji-Rong Wen

Dense subgraph discovery is an important graph-mining primitive with a variety of real-world applications. One of the most well-studied optimization problems for dense subgraph discovery is the densest subgraph problem, where given an…

Data Structures and Algorithms · Computer Science 2021-10-26 Francesco Bonchi , David García-Soriano , Atsushi Miyauchi , Charalampos E. Tsourakakis

We show how to find and efficiently maintain maximal k-edge-connected subgraphs in undirected graphs. In particular, we provide the following results. (1) A general framework for maintaining the maximal k-edge-connected subgraphs upon…

Data Structures and Algorithms · Computer Science 2023-05-02 Loukas Georgiadis , Giuseppe F. Italiano , Evangelos Kosinas , Debasish Pattanayak

Subgraph isomorphism counting is an important problem on graphs, as many graph-based tasks exploit recurring subgraph patterns. Classical methods usually boil down to a backtracking framework that needs to navigate a huge search space with…

Machine Learning · Computer Science 2024-01-25 Xingtong Yu , Zemin Liu , Yuan Fang , Xinming Zhang

How to properly model graphs is a long-existing and important problem in NLP area, where several popular types of graphs are knowledge graphs, semantic graphs and dependency graphs. Comparing with other data structures, such as sequences…

Computation and Language · Computer Science 2019-07-16 Linfeng Song

Finding the k-medianin a network involves identifying a subset of k vertices that minimize the total distance to all other vertices in a graph. This problem has been extensively studied in computer science, graph theory, operations…

Data Structures and Algorithms · Computer Science 2023-12-14 Roldan Pozo

Retrieval augmented generation has revolutionized large language model (LLM) outputs by providing factual supports. Nevertheless, it struggles to capture all the necessary knowledge for complex reasoning questions. Existing retrieval…

Computation and Language · Computer Science 2024-10-21 Zijian Li , Qingyan Guo , Jiawei Shao , Lei Song , Jiang Bian , Jun Zhang , Rui Wang

Graph data management and querying has many practical applications. When graphs are very heterogeneous and/or users are unfamiliar with their structure, they may need to find how two or more groups of nodes are connected in a graph, even…

Databases · Computer Science 2022-08-10 Angelos Christos Anadiotis , Ioana Manolescu , Madhulika Mohanty

Knowledge Graphs (KGs) represent real-world noisy raw information in a structured form, capturing relationships between entities. However, for dynamic real-world applications such as social networks, recommender systems, computational…

Artificial Intelligence · Computer Science 2020-03-26 Amit Sheth , Swati Padhee , Amelie Gyrard

Graph is an important data representation which occurs naturally in the real world applications \cite{goyal2018graph}. Therefore, analyzing graphs provides users with better insights in different areas such as anomaly detection…

Machine Learning · Computer Science 2024-05-06 Elika Bozorgi , Saber Soleimani , Sakher Khalil Alqaiidi , Hamid Reza Arabnia , Krzysztof Kochut

Since knowledge graphs (KGs) describe and model the relationships between entities and concepts in the real world, reasoning on KGs often correspond to the reachability queries with label and substructure constraints (LSCR). Specially, for…

Databases · Computer Science 2020-07-24 Xiaolong Wan , Hongzhi Wang