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The maximum edge colouring problem considers the maximum colour assignment to edges of a graph under the condition that every vertex has at most a fixed number of distinct coloured edges incident on it. If that fixed number is $q$ we call…

Discrete Mathematics · Computer Science 2023-07-06 Zdeněk Dvořák , Abhiruk Lahiri

Graph colouring is a combinatorial optimisation problem with applications in several important domains, including sports scheduling, cartography, street map navigation, and timetabling. It is also of significant theoretical interest and a…

History and Overview · Mathematics 2026-02-23 Rhyd Lewis

Many real world networks are considered temporal networks, in which the chronological ordering of the edges has importance to the meaning of the data. Performing temporal subgraph matching on such graphs requires the edges in the subgraphs…

Data Structures and Algorithms · Computer Science 2018-01-25 Patrick Mackey , Katherine Porterfield , Erin Fitzhenry , Sutanay Choudhury , George Chin

Graph serves as a powerful tool for modeling data that has an underlying structure in non-Euclidean space, by encoding relations as edges and entities as nodes. Despite developments in learning from graph-structured data over the years, one…

Machine Learning · Computer Science 2022-12-20 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

The problem of the data routing management, it provides a method or a strategy that guarantees at any time the connection between any pair of nodes in the network. This routing method must be able to cope with frequent changes in the…

Discrete Mathematics · Computer Science 2014-06-06 Ali Mansouri , Mohamed Salim bouhlel

Graph Neural Networks (GNNs) have emerged as powerful models for learning from graph-structured data. However, their widespread adoption has raised serious privacy concerns. While prior research has primarily focused on edge-level privacy,…

Machine Learning · Computer Science 2025-11-12 Jie Fu , Yuan Hong , Zhili Chen , Wendy Hui Wang

We consider the corner-stone broadcast task with an adaptive adversary that controls a fixed number of $t$ edges in the input communication graph. In this model, the adversary sees the entire communication in the network and the random…

Data Structures and Algorithms · Computer Science 2022-03-29 Yael Hitron , Merav Parter

Given that no existing graph construction method can generate a perfect graph for a given dataset, graph-based algorithms are often affected by redundant and erroneous edges present within the constructed graphs. In this paper, we view…

Machine Learning · Computer Science 2024-11-27 Yongyu Wang , Xiaotian Zhuang

We give deterministic distributed $(1+\epsilon)$-approximation algorithms for Minimum Vertex Coloring and Maximum Independent Set on chordal graphs in the LOCAL model. Our coloring algorithm runs in $O(\frac{1}{\epsilon} \log n)$ rounds,…

Data Structures and Algorithms · Computer Science 2018-05-15 Christian Konrad , Viktor Zamaraev

The classical approach of avoiding or ignoring interference in wireless networks cannot accommodate the ambitious quality-of-service demands of ultra-dense cellular networks (CNs). However, recent ground-breaking information-theoretic…

Networking and Internet Architecture · Computer Science 2020-08-14 Abdulkadir Celik , Anas Chaaban , Basem Shihada , Mohamed-Slim Alouini

The core numbers of vertices in a graph are one of the most well-studied cohesive subgraph models because of the linear running time. In practice, many data graphs are dynamic graphs that are continuously changing by inserting or removing…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-14 Bin Guo , Emil Sekerinski

Graph embedding is an effective method to represent graph data in a low dimensional space for graph analytics. Most existing embedding algorithms typically focus on preserving the topological structure or minimizing the reconstruction…

Machine Learning · Computer Science 2019-01-09 Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Lina Yao , Chengqi Zhang

Temporal graphs are graphs whose edges are labelled with times at which they are active. Their time-sensitivity provides a useful model of real networks, but renders many problems studied on temporal graphs more computationally complex than…

Discrete Mathematics · Computer Science 2026-04-28 Jessica Enright , Samuel D. Hand , Laura Larios-Jones , Kitty Meeks

This paper addresses the problem of online network topology inference for expanding graphs from a stream of spatiotemporal signals. Online algorithms for dynamic graph learning are crucial in delay-sensitive applications or when changes in…

Machine Learning · Computer Science 2024-09-16 Samuel Rey , Bishwadeep Das , Elvin Isufi

Limited presence of nodal and line meters in distribution grids hinders their optimal operation and participation in real-time markets. In particular lack of real-time information on the grid topology and infrequently calibrated line…

Systems and Control · Computer Science 2018-03-13 Sejun Park , Deepjyoti Deka , Michael Chertkov

It has been demonstrated that adversarial graphs, i.e., graphs with imperceptible perturbations added, can cause deep graph models to fail on node/graph classification tasks. In this paper, we extend adversarial graphs to the problem of…

Social and Information Networks · Computer Science 2020-01-23 Jia Li , Honglei Zhang , Zhichao Han , Yu Rong , Hong Cheng , Junzhou Huang

We propose an adaptive control protocol for identifying the topology of dynamical networks interconnected over undirected graphs with cooperative and antagonistic interactions. The signed network is modeled using a repelling Laplacian.…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Pelin Sekercioglu , Nana Wang , Angela Fontan , Dimos V. Dimarogonas

Traffic grooming is a major issue in optical networks. It refers to grouping low rate signals into higher speed streams, in order to reduce the equipment cost. In SONET WDM networks, this cost is mostly given by the number of electronic…

Combinatorics · Mathematics 2008-12-18 Xavier Muñoz , Ignasi Sau Valls

Convolutional and recurrent neural networks have been widely employed to achieve state-of-the-art performance on classification tasks. However, it has also been noted that these networks can be manipulated adversarially with relative ease,…

Machine Learning · Computer Science 2020-09-08 Shankar A. Deka , Dušan M. Stipanović , Claire J. Tomlin

When different objectives conflict with each other in multi-task learning, gradients begin to interfere and slow convergence, thereby potentially reducing the final model's performance. To address this, we introduce SON-GOKU, a scheduler…

Machine Learning · Computer Science 2025-12-10 Santosh Patapati
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