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Reachability and other path-based measures on temporal graphs can be used to understand spread of infection, information, and people in modelled systems. Due to delays and errors in reporting, temporal graphs derived from data are unlikely…

Discrete Mathematics · Computer Science 2025-05-23 Jessica Enright , Laura Larios-Jones , Kitty Meeks , William Pettersson

In this paper, the theoretical sustainable capacity of wireless networks with radio frequency (RF) energy harvesting is analytically studied. Specifically, we consider a large scale wireless network where base stations (BSs) and low power…

Networking and Internet Architecture · Computer Science 2018-06-05 Ziru Chen , Zhao Chen , Lin X. Cai , Yu Cheng , Ruoting Gong

We give efficient algorithms for the fundamental problems of Broadcast and Local Broadcast in dynamic wireless networks. We propose a general model of communication which captures and includes both fading models (like SINR) and graph-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-10 Magnus M. Halldorsson , Tigran Tonoyan , Yuexuan Wang , Dongxiao Yu

In this paper we study the cover time of the simple random walk on the giant component of supercritical $d$-dimensional random geometric graphs on $\mathrm{Poi}(n)$ vertices. We show that the cover time undergoes a jump at the connectivity…

Probability · Mathematics 2025-02-03 Carlos Martinez , Dieter Mitsche

Graphs are widely used for modeling various types of interactions, such as email communications and online discussions. Many of such real-world graphs are temporal, and specifically, they grow over time with new nodes and edges. Counting…

Social and Information Networks · Computer Science 2023-01-04 Deukryeol Yoon , Dongjin Lee , Minyoung Choe , Kijung Shin

Due to the fact that the numbers of annually published papers have witnessed a linear growth in some citation networks, a geometric model is thus proposed to predict some statistical features of those networks, in which the academic…

Physics and Society · Physics 2016-07-07 Qi Liu , Zheng Xie , Engming Dong , Jianping Li

Sensor networks potentially feature large numbers of nodes that can sense their environment over time, communicate with each other over a wireless network, and process information. They differ from data networks in that the network as a…

Networking and Internet Architecture · Computer Science 2016-11-17 Nikolaos M. Freris , Hemant Kowshik , P. R. Kumar

The movement changes the underlying spatial representation of the participated mobile objects or nodes. In real world scenario, such mobile nodes can be part of any biological network, transportation network, social network, human…

Social and Information Networks · Computer Science 2024-07-29 Md. Arquam , Utkarsh Tiwari , Suchi Kumari

Mobile traffic prediction is a fundamental yet challenging problem for wireless network planning and optimization. Existing models focus on learning static long-term temporal patterns in mobile traffic series, which limits their ability to…

Networking and Internet Architecture · Computer Science 2026-04-10 Xiaoqian Qi , Haoye Chai , Yue Wang , Yong Li

Modern wireless machine-to-machine-type communications aim to provide both ultra reliability and low latency, stringent requirements that appear to be mutually exclusive. From the noisy channel coding theorem, we know that reliable…

Information Theory · Computer Science 2020-12-04 Diego Barragán Guerrero , Minh Au , Ghyslain Gagnon , François Gagnon , Pascal Giard

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

Physics and Society · Physics 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

Predicting the throughput of WLAN deployments is a classic problem that occurs in the design of robust and high performance WLAN systems. However, due to the increasingly complex communication protocols and the increase in interference…

Networking and Internet Architecture · Computer Science 2023-04-21 Hongkuan Zhou , Rajgopal Kannan , Ananthram Swami , Viktor Prasanna

Small-world networks are networks in which the graphical diameter of the network is as small as the diameter of random graphs but whose nodes are highly clustered when compared with the ones in a random graph. Examples of small-world…

Information Theory · Computer Science 2016-11-17 Hazer Inaltekin , Mung Chiang , Harold Vincent Poor

Franceschetti et al. have recently shown that per-node throughput in an extended, ad hoc wireless network with $\Theta(n)$ randomly distributed nodes and multihop routing can be increased from the $\Omega({1 \over \sqrt{n} \log n})$ scaling…

Information Theory · Computer Science 2007-10-10 Awlok Josan , Mingyan Liu , David L. Neuhoff , S. Sandeep Pradhan

We study the single-message broadcast problem in dynamic radio networks. We show that the time complexity of the problem depends on the amount of stability and connectivity of the dynamic network topology and on the adaptiveness of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-11 Mohamad Ahmadi , Abdolhamid Ghodselahi , Fabian Kuhn , Anisur Rahaman Molla

In dynamic graphs, edges may be added or deleted in each synchronous round. Various connectivity models exist based on constraints on these changes. One well-known model is the $T$-Interval Connectivity model, where the graph remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Ashish Saxena , Kaushik Mondal

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

A large and sparse random graph with independent exponentially distributed link weights can be used to model the propagation of messages or diseases in a network with an unknown connectivity structure. In this article we study an extended…

Probability · Mathematics 2019-08-06 Lasse Leskelä , Hoa Ngo

We study fundamental characteristics for the connectivity of multi-hop D2D networks. Devices are randomly distributed on street systems and are able to communicate with each other whenever their separation is smaller than some connectivity…

Networking and Internet Architecture · Computer Science 2018-02-01 Elie Cali , Nila Novita Gafur , Christian Hirsch , Benedikt Jahnel , Taoufik En-Najjary , Robert I. A. Patterson

We study site and bond percolation on directed simple random graphs with a given degree distribution and derive the expressions for the critical value of the percolation probability above which the giant strongly connected component emerges…

Combinatorics · Mathematics 2021-03-08 Femke van Ieperen , Ivan Kryven
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