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Graph neural networks (GNNs) have been shown promising in improving the efficiency of learning communication policies by leveraging their permutation properties. Nonetheless, existing works design GNNs only for specific wireless policies,…

Signal Processing · Electrical Eng. & Systems 2023-08-22 Shengjie Liu , Jia Guo , Chenyang Yang

Graph colorings have been of interest to mathematicians for a long time, but relatively recently, social scientists have also found them to be interesting tools for studying group behavior. In the last 20 years, scientists have begun to…

Combinatorics · Mathematics 2026-03-20 Matthew I. Jones , Zachary Winkeler

We consider multi--hop wireless networks carrying unicast flows for multiple users. Each flow has a specified delay deadline, and the lossy wireless links are modelled as binary symmetric channels (BSCs). Since transmission time, also…

Networking and Internet Architecture · Computer Science 2012-01-19 Premkumar Karumbu , Xiaomin Chen , Douglas Leith

We analyze the achievable rate in interference-free wireless networks with physical layer fading channels and orthogonal multiple access. As a starting point, the point-to-point channel is considered. We find the optimal physical and…

Information Theory · Computer Science 2016-11-18 Tao Cui , Tracey Ho , Joerg Kliewer

Index codes reduce the number of bits broadcast by a wireless transmitter to a number of receivers with different demands and with side information. It is known that the problem of finding optimal linear index codes is NP-hard. We…

Information Theory · Computer Science 2015-04-28 Xiao Huang , Salim El Rouayheb

This dissertation is a study on the design and analysis of novel, optimal routing and rate control algorithms in wireless, mobile communication networks. Congestion control and routing algorithms upto now have been designed and optimized…

Networking and Internet Architecture · Computer Science 2012-01-20 Jung Ryu

Graph-based algorithms for point-to-point link scheduling in Spatial reuse Time Division Multiple Access (STDMA) wireless ad hoc networks often result in a significant number of transmissions having low Signal to Interference and Noise…

Performance · Computer Science 2007-05-23 Ashutosh Deepak Gore , Srikanth Jagabathula , Abhay Karandikar

We analyse the performance of simple distributed colouring algorithms under the assumption that the input graph is a hyperbolic random graph (HRG), a generative model capturing key properties of real-world networks such as power-law degree…

Data Structures and Algorithms · Computer Science 2025-07-23 Yannic Maus , Janosch Ruff

Wireless Mesh Networks (WMNs) have evolved into a wireless communication technology of immense interest. But technological advancements in WMNs have inadvertently spawned a plethora of network performance bottlenecks, caused primarily by…

Networking and Internet Architecture · Computer Science 2016-01-29 Srikant Manas Kala , M. Pavan Kumar Reddy , Ranadheer Musham , Bheemarjuna Reddy Tamma

The network coloring game has been proposed in the literature of social sciences as a model for conflict-resolution circumstances. The players of the game are the vertices of a graph with $n$ vertices and maximum degree $\Delta$. The game…

Discrete Mathematics · Computer Science 2022-04-01 Nikolaos Fryganiotis , Symeon Papavassiliou , Christos Pelekis

This paper studies the problem of proper-walk connection number: given an undirected connected graph, our aim is to colour its edges with as few colours as possible so that there exists a properly coloured walk between every pair of…

Discrete Mathematics · Computer Science 2020-09-11 Jørgen Bang-Jensen , Thomas Bellitto , Anders Yeo

Owing to their versatility, graph structures admit representations of intricate relationships between the separate entities comprising the data. We formalise the notion of connection between two vertex sets in terms of edge and vertex…

Machine Learning · Computer Science 2022-08-23 Peter Belcak , Roger Wattenhofer

Wireless networks are inherently graph-structured, which can be utilized in graph representation learning to solve complex wireless network optimization problems. In graph representation learning, feature vectors for each entity in the…

Information Theory · Computer Science 2024-10-28 Maryam Mohsenivatani , Samad Ali , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-Aho

Efficient spectrum use in wireless sensor networks through spatial reuse requires effective models of packet reception at the physical layer in the presence of interference. Despite recent progress in analytic and simulations research into…

Networking and Internet Architecture · Computer Science 2014-05-19 Helga Gudmundsdottir , Eyjólfur I Ásgeirsson , Marijke H. L. Bodlaender , Joseph T. Foley , Magnús M. Halldórsson , Ymir Vigfusson

Recent studies on cloud-radio access networks assume either signal-level or scheduling-level coordination. This paper considers a hybrid coordinated scheme as a means to benefit from both policies. Consider the downlink of a multi-cloud…

Information Theory · Computer Science 2016-10-14 Ahmed Douik , Hayssam Dahrouj , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

We investigate optimal routing and scheduling strategies for multi-hop wireless networks with rateless codes. Rateless codes allow each node of the network to accumulate mutual information from every packet transmission. This enables a…

Optimization and Control · Mathematics 2011-10-18 Rahul Urgaonkar , Michael J. Neely

In vertex recoloring, we are given $n$ vertices with their initial coloring, and edges arrive in an online fashion. The algorithm must maintain a valid coloring by recoloring vertices, at a cost. The problem abstracts a scenario of job…

Data Structures and Algorithms · Computer Science 2025-01-13 Boaz Patt-Shamir , Adi Rosen , Seeun William Umboh

Device-to-device (D2D) spectrum sharing in wireless communications is a challenging non-convex combinatorial optimization problem, involving entangled link scheduling and power control in a large-scale network. The state-of-the-art methods,…

Networking and Internet Architecture · Computer Science 2024-08-20 Zhiwei Shan , Xinping Yi , Le Liang , Chung-Shou Liao , Shi Jin

Neural network modeling is a key technology of science and research and a platform for deployment of algorithms to systems. In wireless communications, system modeling plays a pivotal role for interference cancellation with specifically…

Signal Processing · Electrical Eng. & Systems 2024-10-02 Gerald Enzner , Aleksej Chinaev , Svantje Voit , Aydin Sezgin

We consider the statistical mechanics of interfering transmissions in a wireless communications protocol. In this case, a connection between two nodes requires all other nodes within communication distance of the given two nodes to remain…

Statistical Mechanics · Physics 2009-11-10 M. B. Hastings
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