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Deep neural networks have been widely applied as an effective approach to handle complex and practical problems. However, one of the most fundamental open problems is the lack of formal methods to analyze the safety of their behaviors. To…

Artificial Intelligence · Computer Science 2020-03-04 Xiaodong Yang , Hoang-Dung Tran , Weiming Xiang , Taylor Johnson

A Locally Checkable Labeling (LCL) is a specification describing a set of labels that are valid with respect to a set of conditions that characterize a local part of a solution to a global problem. Conditions can only refer to nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-17 Jérémie Chalopin , Maria Kokkou

This paper presents a set of algorithms for computing the reachability graph of Petri Net Product Lines (PNPLs). These algorithms address the combined challenges of concurrency and variability that arise from product-line configurations.…

Formal Languages and Automata Theory · Computer Science 2026-04-08 Elena Gómez-Martínez , José Ignacio Requeno Jarabo

Designing query languages for graph structured data is an active field of research. Evaluating a query on a graph results in a relation on the set of its nodes. In other words, a query is a mechanism for defining relations on a graph. Some…

Databases · Computer Science 2015-04-28 M. Praveen , B. Srivathsan

Despite significant advancements in causal research on graphs and its application to cracking label imbalance, the role of edge features in detecting the causal effects within graphs has been largely overlooked, leaving existing methods…

Machine Learning · Computer Science 2025-01-08 Fengrui Zhang , Yujia Yin , Hongzong Li , Yifan Chen , Tianyi Qu

This paper studies the evaluation of routing algorithms from the perspective of reachability routing, where the goal is to determine all paths between a sender and a receiver. Reachability routing is becoming relevant with the changing…

Networking and Internet Architecture · Computer Science 2007-05-23 Srinidhi Varadarajan , Naren Ramakrishnan

We study the problem of evaluating persistent queries over streaming graphs in a principled fashion. These queries need to be evaluated over unbounded and very high speed graph streams. We define a streaming graph data model and query model…

Databases · Computer Science 2021-08-03 Anil Pacaci , Angela Bonifati , M. Tamer Özsu

We consider locally checkable labeling LCL problems in the LOCAL model of distributed computing. Since 2016, there has been a substantial body of work examining the possible complexities of LCL problems. For example, it has been established…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Yi-Jun Chang

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

In this paper, we propose a paradigm for processing in parallel graph joins in road networks. The methodology we present can be used for distance join processing among the elements of two disjoint sets R,S of nodes from the road network,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-27 George Tsatsanifos

Reachability is the problem of deciding whether there is a path from one vertex to the other in the graph. Standard graph traversal algorithms such as DFS and BFS take linear time to decide reachability however their space complexity is…

Computational Complexity · Computer Science 2019-02-06 Rahul Jain , Raghunath Tewari

Graph-level regression underpins many real-world applications, yet public benchmarks remain heavily skewed toward molecular graphs and citation networks. This limited diversity hinders progress on models that must generalize across both…

Machine Learning · Computer Science 2026-05-04 Peter Samoaa , Marcus Vukojevic , Morteza Haghir Chehreghani , Antonio Longa

Multi-layer graphs consist of several graphs (layers) over the same vertex set. They are motivated by real-world problems where entities (vertices) are associated via multiple types of relationships (edges in different layers). We chart the…

Computational Complexity · Computer Science 2019-10-23 Robert Bredereck , Christian Komusiewicz , Stefan Kratsch , Hendrik Molter , Rolf Niedermeier , Manuel Sorge

Given a graph $G$ and two vertices $s$ and $t$ in it, {\em graph reachability} is the problem of checking whether there exists a path from $s$ to $t$ in $G$. We show that reachability in directed layered planar graphs can be decided in…

Data Structures and Algorithms · Computer Science 2015-01-26 Diptarka Chakraborty , Raghunath Tewari

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

Graph classification benchmarks, vital for assessing and developing graph neural networks (GNNs), have recently been scrutinized, as simple methods like MLPs have demonstrated comparable performance. This leads to an important question: Do…

Machine Learning · Computer Science 2024-08-14 Zhengdao Li , Yong Cao , Kefan Shuai , Yiming Miao , Kai Hwang

Graph algorithms are central to large-scale applications such as navigation systems, social networks, and data analysis platforms. This thesis studies two important challenges in such systems: robustness to failures and fairness in…

Data Structures and Algorithms · Computer Science 2026-05-21 Kushagra Chatterjee

The problem of labeled graph generation is gaining attention in the Deep Learning community. The task is challenging due to the sparse and discrete nature of graph spaces. Several approaches have been proposed in the literature, most of…

Machine Learning · Computer Science 2021-07-20 Marco Podda , Davide Bacciu

Neural Networks (NNs) can provide major empirical performance improvements for closed-loop systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Michael Everett , Golnaz Habibi , Chuangchuang Sun , Jonathan P. How

Neural models have transformed the fundamental information retrieval problem of mapping a query to a giant set of items. However, the need for efficient and low latency inference forces the community to reconsider efficient approximate…

Information Retrieval · Computer Science 2021-03-19 Gaurav Gupta , Tharun Medini , Anshumali Shrivastava , Alexander J Smola