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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…

数据结构与算法 · 计算机科学 2023-10-16 Jan Böker , Louis Härtel , Nina Runde , Tim Seppelt , Christoph Standke

Identifying the connected components of a graph, apart from being a fundamental problem with countless applications, is a key primitive for many other algorithms. In this paper, we consider this problem in parallel settings. Particularly,…

数据结构与算法 · 计算机科学 2020-03-13 Soheil Behnezhad , Laxman Dhulipala , Hossein Esfandiari , Jakub Łącki , Vahab Mirrokni

In this paper, we answer two open problems from [Breen et al., Throttling for the game of Cops and Robbers on graphs, Discrete Math., 341 (2018) 2418-2430]. The throttling number $th_c(G)$ of a graph $G$ is the minimum possible value of $k…

组合数学 · 数学 2019-10-23 Jesse Geneson

In this paper, we show a connection between a certain online low-congestion routing problem and an online prediction of graph labeling. More specifically, we prove that if there exists a routing scheme that guarantees a congestion of…

数据结构与算法 · 计算机科学 2008-09-12 Jittat Fakcharoenphol , Boonserm Kijsirikul

Finding dense subgraphs is a core problem with numerous graph mining applications such as community detection in social networks and anomaly detection. However, in many real-world networks connections are not equal. One way to label edges…

数据结构与算法 · 计算机科学 2025-02-04 Chamalee Wickrama Arachchi , Iiro Kumpulainen , Nikolaj Tatti

Robustness is a critical measure of the resilience of large networked systems, such as transportation and communication networks. Most prior works focus on the global robustness of a given graph at large, e.g., by measuring its overall…

社会与信息网络 · 计算机科学 2015-01-09 Hau Chan , Shuchu Han , Leman Akoglu

For a well-studied family of domination-type problems, in bounded-treewidth graphs, we investigate whether it is possible to find faster algorithms. For sets $\sigma,\rho$ of non-negative integers, a $(\sigma,\rho)$-set of a graph $G$ is a…

计算复杂性 · 计算机科学 2023-06-07 Jacob Focke , Dániel Marx , Fionn Mc Inerney , Daniel Neuen , Govind S. Sankar , Philipp Schepper , Philip Wellnitz

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

数据结构与算法 · 计算机科学 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

This paper summarizes the Crowdsensing-based Road Damage Detection Challenge (CRDDC), a Big Data Cup organized as a part of the IEEE International Conference on Big Data'2022. The Big Data Cup challenges involve a released dataset and a…

计算机视觉与模式识别 · 计算机科学 2022-11-22 Deeksha Arya , Hiroya Maeda , Sanjay Kumar Ghosh , Durga Toshniwal , Hiroshi Omata , Takehiro Kashiyama , Yoshihide Sekimoto

We study the problem of coloring a given graph using a small number of colors in several well-established models of computation for big data. These include the data streaming model, the general graph query model, the massively parallel…

数据结构与算法 · 计算机科学 2019-05-03 Suman K. Bera , Amit Chakrabarti , Prantar Ghosh

Large Language Models (LLMs) for Graph Reasoning have been extensively studied over the past two years, involving enabling LLMs to understand graph structures and reason on graphs to solve various graph problems, with graph algorithm…

人工智能 · 计算机科学 2025-10-03 Yuwei Hu , Xinyi Huang , Zhewei Wei , Yongchao Liu , Chuntao Hong

We present an algorithm to count the number of occurrences of a pattern graph $H$ as an induced subgraph in a host graph $G$. If $G$ belongs to a bounded expansion class, the algorithm runs in linear time. Our design choices are motivated…

数据结构与算法 · 计算机科学 2020-01-16 Felix Reidl , Blair D. Sullivan

We propose an exact algorithm for the Graph Burning Problem ($\texttt{GBP}$), an NP-hard optimization problem that models the spread of influence on social networks. Given a graph $G$ with vertex set $V$, the objective is to find a sequence…

In this paper, a new graph partitioning problem is introduced. The depth of each part is constrained, i.e., the node count in the longest path of the corresponding sub-graph is no more than a predetermined positive integer value p. An…

新兴技术 · 计算机科学 2018-10-02 Ghasem Pasandi , Massoud Pedram

Assume that a graph $G$ models a detection system for a facility with a possible ``intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the problem of placing detectors at a subset of vertices in $G$…

组合数学 · 数学 2022-08-15 Devin Jean , Suk Seo

The number of triangles in a graph is a fundamental metric, used in social network analysis, link classification and recommendation, and more. Driven by these applications and the trend that modern graph datasets are both large and dynamic,…

数据库 · 计算机科学 2013-08-12 Kanat Tangwongsan , A. Pavan , Srikanta Tirthapura

We discuss the complexity of path enumeration and counting in weighted temporal graphs. In a weighted temporal graph, each edge has an availability time, a traversal time and some real cost. We introduce two bicriteria temporal min-cost…

计算复杂性 · 计算机科学 2020-07-10 Petra Mutzel , Lutz Oettershagen

For the vast majority of local graph problems standard dynamic programming techniques give c^tw V^O(1) algorithms, where tw is the treewidth of the input graph. On the other hand, for problems with a global requirement (usually…

数据结构与算法 · 计算机科学 2011-03-03 Marek Cygan , Jesper Nederlof , Marcin Pilipczuk , Michał Pilipczuk , Johan van Rooij , Jakub Onufry Wojtaszczyk

Message Passing Neural Networks (MPNNs) are a staple of graph machine learning. MPNNs iteratively update each node's representation in an input graph by aggregating messages from the node's neighbors, which necessitates a memory complexity…

机器学习 · 计算机科学 2024-12-24 Ben Finkelshtein , İsmail İlkan Ceylan , Michael Bronstein , Ron Levie

An emerging trend in representation learning over knowledge graphs (KGs) moves beyond transductive link prediction tasks over a fixed set of known entities in favor of inductive tasks that imply training on one graph and performing…

机器学习 · 计算机科学 2022-04-20 Mikhail Galkin , Max Berrendorf , Charles Tapley Hoyt