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The performance of graph programs depends highly on the algorithm, the size and structure of the input graphs, as well as the features of the underlying hardware. No single set of optimizations or one hardware platform works well across all…

分布式、并行与集群计算 · 计算机科学 2021-01-11 Ajay Brahmakshatriya , Yunming Zhang , Changwan Hong , Shoaib Kamil , Julian Shun , Saman Amarasinghe

In the graph stream model of computation, an algorithm processes the edges of an input graph in one or more sequential passes while using a memory sublinear in the input size. This model poses significant challenges for constructing long…

数据结构与算法 · 计算机科学 2025-08-25 Christian Konrad , Chhaya Trehan

The ``arms race'' of Large Language Models (LLMs) demands new benchmarks to examine their progresses. In this paper, we introduce GraphArena, a benchmarking tool designed to evaluate LLMs on real-world graph computational problems. It…

人工智能 · 计算机科学 2025-02-18 Jianheng Tang , Qifan Zhang , Yuhan Li , Nuo Chen , Jia Li

Graph partitioning (GP), a.k.a. community detection, is a classic problem that divides the node set of a graph into densely-connected blocks. Following prior work on the IEEE HPEC Graph Challenge benchmark and recent advances in graph…

社会与信息网络 · 计算机科学 2023-12-05 Yu Gao , Meng Qin , Yibin Ding , Li Zeng , Chaorui Zhang , Weixi Zhang , Wei Han , Rongqian Zhao , Bo Bai

Subgraph counting is a fundamental and well-studied problem whose computational complexity is well understood. Quite surprisingly, the hypergraph version of subgraph counting has been almost ignored. In this work, we address this gap by…

计算复杂性 · 计算机科学 2025-06-18 Marco Bressan , Julian Brinkmann , Holger Dell , Marc Roth , Philip Wellnitz

Knowledge Graph Completion (KGC) has garnered massive research interest recently, and most existing methods are designed following a transductive setting where all entities are observed during training. Despite the great progress on the…

计算与语言 · 计算机科学 2024-04-25 Zhiwen Xie , Yi Zhang , Guangyou Zhou , Jin Liu , Xinhui Tu , Jimmy Xiangji Huang

Graph Neural Networks (GNNs) are powerful models that can manage complex data sources and their interconnection links. One of GNNs' main drawbacks is their lack of interpretability, which limits their application in sensitive fields. In…

机器学习 · 计算机科学 2026-03-24 Salvatore Calderaro , Domenico Amato , Giosuè Lo Bosco , Riccardo Rizzo , Filippo Vella

In this paper we present the first deterministic polynomial time algorithm for determining the existence of a Hamiltonian cycle and finding a Hamiltonian cycle in general graphs. Our algorithm can also solve the Hamiltonian path problem in…

数据结构与算法 · 计算机科学 2022-07-12 Aimin Hou

We present linear time {\it in-place} algorithms for several basic and fundamental graph problems including the well-known graph search methods (like depth-first search, breadth-first search, maximum cardinality search), connectivity…

数据结构与算法 · 计算机科学 2019-07-24 Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

The Minimum Path Cover (MPC) problem consists of finding a minimum-cardinality set of node-disjoint paths that cover all nodes in a given graph. We explore a variant of the MPC problem on acyclic digraphs (DAGs) where, given a subset of…

离散数学 · 计算机科学 2025-01-17 Nour ElHouda Tellache , Roberto Baldacci

Integrated Gradients (IG) is a common explainability technique to address the black-box problem of neural networks. Integrated gradients assumes continuous data. Graphs are discrete structures making IG ill-suited to graphs. In this work,…

机器学习 · 计算机科学 2025-09-10 Lachlan Simpson , Kyle Millar , Adriel Cheng , Cheng-Chew Lim , Hong Gunn Chew

Connectivity (or equivalently, unweighted maximum flow) is an important measure in graph theory and combinatorial optimization. Given a graph $G$ with vertices $s$ and $t$, the connectivity $\lambda(s,t)$ from $s$ to $t$ is defined to be…

数据结构与算法 · 计算机科学 2024-12-25 Shyan Akmal

In this paper, we propose an end-to-end graph learning framework, namely Iterative Deep Graph Learning (IDGL), for jointly and iteratively learning graph structure and graph embedding. The key rationale of IDGL is to learn a better graph…

机器学习 · 计算机科学 2020-10-26 Yu Chen , Lingfei Wu , Mohammed J. Zaki

Recent advancements in graph-based analysis and solutions of instantly decodable network coding (IDNC) trigger the interest to extend them to more complicated opportunistic network coding (ONC) scenarios, with limited increase in…

This paper investigates concurrency-constrained scheduling problems, where the objective is to construct a schedule for a set of jobs subject to concurrency restrictions. Formally, we are given a conflict graph $G$ defined over a set of $n$…

离散数学 · 计算机科学 2025-06-30 Hans L. Bodlaender , Danny Hermelin , Erik Jan van Leeuwen

Imbalanced classification on graphs is ubiquitous yet challenging in many real-world applications, such as fraudulent node detection. Recently, graph neural networks (GNNs) have shown promising performance on many network analysis tasks.…

机器学习 · 计算机科学 2021-06-08 Liang Qu , Huaisheng Zhu , Ruiqi Zheng , Yuhui Shi , Hongzhi Yin

The vast amounts of data used in social, business or traffic networks, biology and other natural sciences are often managed in graph-based data sets, consisting of a few thousand up to billions and trillions of vertices and edges,…

数据库 · 计算机科学 2021-10-22 Matthias Hauck , Ismail Oukid , Holger Fröning

We study a trajectory analysis problem we call the Trajectory Capture Problem (TCP), in which, for a given input set ${\cal T}$ of trajectories in the plane, and an integer $k\geq 2$, we seek to compute a set of $k$ points (``portals'') to…

We propose a convex-concave programming approach for the labeled weighted graph matching problem. The convex-concave programming formulation is obtained by rewriting the weighted graph matching problem as a least-square problem on the set…

计算机视觉与模式识别 · 计算机科学 2008-10-27 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

$\textbf{Graph Coarsening (GC)}$ is a prominent graph reduction technique that compresses large graphs to enable efficient learning and inference. However, existing GC methods generate only one coarsened graph per run and must recompute…

社会与信息网络 · 计算机科学 2025-05-23 Mohit Kataria , Shreyash Bhilwade , Sandeep Kumar , Jayadeva