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We show how to assign labels of size $\tilde O(1)$ to the vertices of a directed planar graph $G$, such that from the labels of any three vertices $s,t,f$ we can deduce in $\tilde O(1)$ time whether $t$ is reachable from $s$ in the graph…

Data Structures and Algorithms · Computer Science 2023-07-17 Shiri Chechik , Shay Mozes , Oren Weimann

For a given collection G of directed graphs we define the join-reachability graph of G, denoted by J(G), as the directed graph that, for any pair of vertices a and b, contains a path from a to b if and only if such a path exists in all…

Data Structures and Algorithms · Computer Science 2010-12-23 Loukas Georgiadis , Stavros D. Nikolopoulos , Leonidas Palios

We study graph realization problems from a distributed perspective and we study it in the node capacitated clique (NCC) model of distributed computing, recently introduced for representing peer-to-peer networks. We focus on two central…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 John Augustine , Keerti Choudhary , Avi Cohen , David Peleg , Sumathi Sivasubramaniam , Suman Sourav

Detecting the origin of information or infection spread in networks is a fundamental challenge with applications in misinformation tracking, epidemiology, and beyond. We study the multi-source detection problem: given snapshot observations…

Social and Information Networks · Computer Science 2025-12-02 Xingchao Jian , Purui Zhang , Lan Tian , Feng Ji , Wenfei Liang , Wee Peng Tay , Bihan Wen , Felix Krahmer

In this paper, we study the graph realization problem in the Congested Clique model of distributed computing under crash faults. We consider {\em degree-sequence realization}, in which each node $v$ is associated with a degree value $d(v)$,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-23 Anisur Rahaman Molla , Manish Kumar , Sumathi Sivasubramaniam

Query execution over the Web of Linked Data has attracted much attention recently. A particularly interesting approach is link traversal based query execution which proposes to integrate the traversal of data links into the construction of…

Databases · Computer Science 2012-04-23 Olaf Hartig , Johann-Christoph Freytag

Supply chain traceability refers to product tracking from the source to customers, demanding transparency, authenticity, and high efficiency. In recent years, blockchain has been widely adopted in supply chain traceability to provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-18 Hanqing Wu , Shan Jiang , Jiannong Cao

An increasing number of countries implement Internet censorship at different scales and for a variety of reasons. In particular, the link between the censored client and entry point to the uncensored network is a frequent target of…

Cryptography and Security · Computer Science 2016-08-01 Sheharbano Khattak , Laurent Simon , Steven J. Murdoch

Since graph neural networks (GNNs) are often vulnerable to attack, we need to know when we can trust them. We develop a computationally effective approach towards providing robust certificates for message-passing neural networks (MPNNs)…

Optimization and Control · Mathematics 2024-05-22 Christopher Hojny , Shiqiang Zhang , Juan S. Campos , Ruth Misener

Clustering is a fundamental task in both machine learning and data mining. Among various methods, edge-colored clustering (ECC) has emerged as a useful approach for handling categorical data. Given a hypergraph with (hyper)edges labeled by…

Machine Learning · Computer Science 2025-05-26 Changyeol Lee , Yongho Shin , Hyung-Chan An

Edge computing environments host increasingly complex microservice-based IoT applications that are prone to performance anomalies propagating across dependent services. Identifying the faulty component (root cause localization) and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-03 Duneesha Fernando , Maria A. Rodriguez , Rajkumar Buyya

This paper presents a novel contingency planning framework that integrates learning-based multi-modal predictions of traffic participants into Branch Model Predictive Control (MPC). Leveraging reachability analysis, we address the…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Mohamed-Khalil Bouzidi , Bojan Derajic , Daniel Goehring , Joerg Reichardt

We propose a new exact method for shortest-path distance queries on large-scale networks. Our method precomputes distance labels for vertices by performing a breadth-first search from every vertex. Seemingly too obvious and too inefficient…

Data Structures and Algorithms · Computer Science 2013-04-18 Takuya Akiba , Yoichi Iwata , Yuichi Yoshida

A temporal graph $\mathcal{G}=(G,\lambda)$ can be represented by an underlying graph $G=(V,E)$ together with a function $\lambda$ that assigns to each edge $e\in E$ the set of time steps during which $e$ is present. The reachability graph…

Computational Complexity · Computer Science 2025-03-21 Thomas Erlebach , Othon Michail , Nils Morawietz

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…

Artificial Intelligence · Computer Science 2025-10-03 Yuwei Hu , Xinyi Huang , Zhewei Wei , Yongchao Liu , Chuntao Hong

Quantum networks are becoming increasingly important because of advancements in quantum computing and quantum sensing, such as recent developments in distributed quantum computing and federated quantum machine learning. Routing entanglement…

Quantum Physics · Physics 2026-04-13 Tobias Meuser , Jannis Weil , Aninda Lahiri , Marius Paraschiv

In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according…

Data Structures and Algorithms · Computer Science 2012-06-26 Allen Chang , Eyal Amir

Graphs are widely used to model data in many application domains. Thanks to the wide spread use of GPS-enabled devices, many applications assign a spatial attribute to graph vertices (e.g., geo-tagged social media). Users may issue a…

Databases · Computer Science 2016-03-18 Yuhan Sun , Mohamed Sarwat

One of the simplest problems on directed graphs is that of identifying the set of vertices reachable from a designated source vertex. This problem can be solved easily sequentially by performing a graph search, but efficient parallel…

Data Structures and Algorithms · Computer Science 2017-11-07 Jeremy T. Fineman

Deep graph clustering, which aims to group nodes into disjoint clusters by neural networks in an unsupervised manner, has attracted great attention in recent years. Although the performance has been largely improved, the excellent…

Machine Learning · Computer Science 2023-08-15 Yue Liu , Ke Liang , Jun Xia , Xihong Yang , Sihang Zhou , Meng Liu , Xinwang Liu , Stan Z. Li
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