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In this paper we consider greedy scheduling algorithms in wireless networks, i.e., the schedules are computed by adding links greedily based on some priority vector. Two special cases are considered: 1) Longest Queue First (LQF) scheduling,…

Information Theory · Computer Science 2016-11-17 Qiao Li , Rohit Negi

Many real-world networks display a natural bipartite structure, while analyzing or visualizing large bipartite networks is one of the most challenges. As a result, it is necessary to reduce the complexity of large bipartite systems and…

Physics and Society · Physics 2013-01-09 Yang Wang , An Zeng , Zengru Di , Ying Fan

Random intersection graphs model networks with communities, assuming an underlying bipartite structure of groups and individuals, where these groups may overlap. Group memberships are generated through the bipartite configuration model.…

Probability · Mathematics 2026-01-14 Remco van der Hofstad , Julia Komjathy , Viktoria Vadon

A key feature of neural network architectures is their ability to support the simultaneous interaction among large numbers of units in the learning and processing of representations. However, how the richness of such interactions trades off…

In a bi-directional relay channel, a pair of nodes wish to exchange independent messages over a shared wireless half-duplex channel with the help of relays. Recent work has mostly considered information theoretic limits of the…

Information Theory · Computer Science 2010-02-02 Sang Joon Kim , Besma Smida , Natasha Devroye

We investigate the behavior of a large number of selfish users that are able to switch dynamically between multiple wireless access-points (possibly belonging to different standards) by introducing an iterated non-cooperative game. Users…

Computer Science and Game Theory · Computer Science 2008-06-09 Panayotis Mertikopoulos , Aris L. Moustakas

We introduce a new random input model for bipartite matching which we call the Random Type Poisson Arrival Model. Just like in the known i.i.d. model (introduced by Feldman et al. 2009), online nodes have types in our model. In contrast to…

Data Structures and Algorithms · Computer Science 2018-05-03 Allan Borodin , Christodoulos Karavasilis , Denis Pankratov

In the present paper, we derive an upper bound of the average network breakdown probability of packet networks with unreliable relay nodes. We here assume that relay nodes get independently broken with a given node breakdown probability. A…

Information Theory · Computer Science 2017-01-25 Takayuki Nozaki , Takafumi Nakano , Tadashi Wadayama

This paper introduces a statistical model for the arrival times of connection events in a computer network. Edges between nodes in a network can be interpreted and modelled as point processes where events in the process indicate information…

Applications · Statistics 2017-11-29 Matthew Price-Williams , Nick Heard

This paper concerns discrete-time occupancy processes on a finite graph. Our results can be formulated in two theorems, which are stated for vertex processes, but also applied to edge process (e.g., dynamic random graphs). The first theorem…

Probability · Mathematics 2024-10-10 Davide Sclosa , Michel Mandjes , Christian Bick

The effect of signals on stability, throughput region, and delay in a two-user slotted ALOHA based random-access system with collisions is considered. This work gives rise to the development of random access G-networks, which can model…

Information Theory · Computer Science 2019-02-08 Ioannis Dimitriou , Nikolaos Pappas

We develop distributed algorithms to allocate resources in multi-hop wireless networks with the aim of minimizing total cost. In order to observe the fundamental duplexing constraint that co-located transmitters and receivers cannot operate…

Networking and Internet Architecture · Computer Science 2016-11-15 Yufang Xi , Edmund M. Yeh

Wireless network applications, such as, searching, routing, self stabilization and query processing can be modeled as random walks on graphs. Stateless Opportunistic routing technique is a robust distributed routing technique based on…

Networking and Internet Architecture · Computer Science 2014-12-11 Sateeshkrishna Dhuli , Yatindra Nath Singh

In the context of a random walk on an undirected graph, Kemeny's constant can measure the average travel time for a random walk between two randomly chosen vertices. We are interested in graphs that behave counter-intuitively in regard to…

Combinatorics · Mathematics 2022-05-18 Sooyeong Kim

Two-way relaying can significantly improve performance of next generation wireless networks. However, due to its dependence on multi-node cooperation and transmission coordination, applying this technique to a wireless network in an…

Information Theory · Computer Science 2012-07-27 Wenguang Mao , Xudong Wang

Consider a network of $n$ single-server queues where tasks arrive independently at each server at rate $\lambda_n$. The servers are connected by a graph that is resampled at rate $\mu_n$ in a way that is symmetric with respect to the…

Probability · Mathematics 2025-10-14 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

We study convergence rates of random-order best-response dynamics in games on networks with linear best responses and strategic substitutes. Combining formal analysis with numerical simulations we identify phenomena that lead to slow…

Computer Science and Game Theory · Computer Science 2026-02-19 Wojciech Misiak , Marcin Dziubiński

Computational offloading has become an enabling component for edge intelligence in mobile and smart devices. Existing offloading schemes mainly focus on mobile devices and servers, while ignoring the potential network congestion caused by…

Networking and Internet Architecture · Computer Science 2024-01-23 Zhongyuan Zhao , Jake Perazzone , Gunjan Verma , Santiago Segarra

Formation of a molecular network from multifunctional precursors is modelled with a random graph process. The random graph model favours reactivity for monomers that are positioned close in the network topology, and disfavours reactivity…

Soft Condensed Matter · Physics 2019-08-21 Ivan Kryven , Jorien Duivenvoorden , Joen Hermans , Piet D. Iedema