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Temporal graphs have been recently introduced to model changes to a given network that occur throughout a fixed period of time. The Temporal $\Delta$ Clique problem, that generalizes the well known Clique problem to temporal graphs, has…

Data Structures and Algorithms · Computer Science 2022-10-14 Danny Hermelin , Yuval Itzhaki , Hendrik Molter , Rolf Niedermeier

We propose and analyze a general scheme to create chiral topological edge modes within the bulk of two-dimensional engineered quantum systems. Our method is based on the implementation of topological interfaces, designed within the bulk of…

Quantum Gases · Physics 2016-10-11 N. Goldman , G. Jotzu , M. Messer , F. Görg , R. Desbuquois , T. Esslinger

This paper studies the vulnerability of Graph Neural Networks (GNNs) to adversarial attacks on node features and graph structure. Various methods have implemented adversarial training to augment graph data, aiming to bolster the robustness…

Machine Learning · Computer Science 2025-09-03 Jinluan Yang , Ruihao Zhang , Zhengyu Chen , Fei Wu , Kun Kuang

Graph representation learning has achieved a remarkable success in many graph-based applications, such as node classification, link prediction, and community detection. These models are usually designed to preserve the vertex information at…

Social and Information Networks · Computer Science 2020-01-22 Kangfei Zhao , Yu Rong , Jeffrey Xu Yu , Junzhou Huang , Hao Zhang

Over the years, there has been extensive work on fully dynamic algorithms for classic graph problems that admit greedy solutions. Examples include $(\Delta+1)$ vertex coloring, maximal independent set, and maximal matching. For all three…

Data Structures and Algorithms · Computer Science 2025-01-22 Soheil Behnezhad , Rajmohan Rajaraman , Omer Wasim

The interference management technique that treats interference as noise (TIN) is optimal when the interference is sufficiently low. Scheduling algorithms based on the TIN optimality condition have recently been proposed, e.g., for…

Information Theory · Computer Science 2018-07-03 Mudasar Bacha , Marco Di Renzo , Bruno Clerckx

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth quality-of-service (QoS) requirements can be satisfied. We…

Information Theory · Computer Science 2015-12-11 Ashwin Ganesan

Team Coordination on Graphs with Risky Edges (TCGRE) is a recently emerged problem, in which a robot team collectively reduces graph traversal cost through support from one robot to another when the latter traverses a risky edge. Resembling…

Multiagent Systems · Computer Science 2024-08-21 Yanlin Zhou , Manshi Limbu , Gregory J. Stein , Xuan Wang , Daigo Shishika , Xuesu Xiao

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

Data Structures and Algorithms · Computer Science 2012-12-18 Mugurel Ionut Andreica

One of the most important concepts in biological network analysis is that of network motifs, which are patterns of interconnections that occur in a given network at a frequency higher than expected in a random network. In this work we are…

Discrete Mathematics · Computer Science 2020-05-29 Diego P Rubert , Eloi Araujo , Marco A Stefanes , Jens Stoye , Fábio V Martinez

Detecting statistical interactions between input features is a crucial and challenging task. Recent advances demonstrate that it is possible to extract learned interactions from trained neural networks. It has also been observed that, in…

Machine Learning · Computer Science 2020-11-05 Zirui Liu , Qingquan Song , Kaixiong Zhou , Ting Hsiang Wang , Ying Shan , Xia Hu

Adversarially perturbed images of text can cause sophisticated OCR systems to produce misleading or incorrect transcriptions from seemingly invisible changes to humans. Some of these perturbations even survive physical capture, posing…

Machine Learning · Computer Science 2025-11-21 Bhagyesh Kumar , A S Aravinthakashan , Akshat Satyanarayan , Ishaan Gakhar , Ujjwal Verma

There is an extensive literature on dynamic algorithms for a large number of graph theoretic problems, particularly for all varieties of shortest path problems. Germane to this paper are a number fully dynamic algorithms that are known for…

Data Structures and Algorithms · Computer Science 2020-02-19 Md. Zamilur Rahman , Asish Mukhopadhyay

Learning unbiased node representations under class-imbalanced graph data is challenging due to interactions between adjacent nodes. Existing studies have in common that they compensate the minor class nodes `as a group' according to their…

Machine Learning · Computer Science 2022-06-28 Jaeyun Song , Joonhyung Park , Eunho Yang

We consider the constrained graph alignment problem which has applications in biological network analysis. Given two input graphs $G_1=(V_1,E_1), G_2=(V_2,E_2)$, a pair of vertex mappings induces an {\it edge conservation} if the vertex…

Data Structures and Algorithms · Computer Science 2023-06-22 Ferhat Alkan , Türker Bıyıkoğlu , Marc Demange , Cesim Erten

Locally finding a solution to symmetry-breaking tasks such as vertex-coloring, edge-coloring, maximal matching, maximal independent set, etc., is a long-standing challenge in distributed network computing. More recently, it has also become…

Data Structures and Algorithms · Computer Science 2017-02-03 Pierre Fraigniaud , Marc Heinrich , Adrian Kosowski

To perform any meaningful optimization task, power distribution operators need to know the topology and line impedances of their electric networks. Nevertheless, distribution grids currently lack a comprehensive metering infrastructure.…

Optimization and Control · Mathematics 2018-06-12 Guido Cavraro , Vassilis Kekatos

Despite its success in the image domain, adversarial training did not (yet) stand out as an effective defense for Graph Neural Networks (GNNs) against graph structure perturbations. In the pursuit of fixing adversarial training (1) we show…

Machine Learning · Computer Science 2023-12-05 Lukas Gosch , Simon Geisler , Daniel Sturm , Bertrand Charpentier , Daniel Zügner , Stephan Günnemann

Many variations of the classical graph coloring model have been intensively studied due to their multiple applications; scheduling problems and aircraft assignments, for instance, motivate the robust coloring problem. This model gets to…

Discrete Mathematics · Computer Science 2023-05-17 Delia Garijo , Alberto Márquez , Rafael Robles

Topology design optimization offers tremendous opportunity in design and manufacturing freedoms by designing and producing a part from the ground-up without a meaningful initial design as required by conventional shape design optimization…

Machine Learning · Statistics 2019-01-10 Sharad Rawat , M. H. Herman Shen