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Temporal network analysis and time evolution of network characteristics are powerful tools in describing the changing topology of dynamic networks. This paper uses such approaches to better visualize and provide analytical measures for the…

Multiagent Systems · Computer Science 2021-10-04 N. DiBrita , K. Eledlebi , H. Hildmann , L. Culley , A. F. Isakovic

In this paper, we tackle a challenging problem inherent in a series of applications: tracking the influential nodes in dynamic networks. Specifically, we model a dynamic network as a stream of edge weight updates. This general model…

Social and Information Networks · Computer Science 2017-08-25 Yu Yang , Zhefeng Wang , Jian Pei , Enhong Chen

Random intersection graphs containing an underlying community structure are a popular choice for modelling real-world networks. Given the group memberships, the classical random intersection graph is obtained by connecting individuals when…

Probability · Mathematics 2023-08-31 Marta Milewska , Remco van der Hofstad , Bert Zwart

The traffic in wireless networks has become diverse and fluctuating both spatially and temporally due to the emergence of new wireless applications and the complexity of scenarios. The purpose of this paper is to quantitatively analyze the…

Networking and Internet Architecture · Computer Science 2020-08-27 Gang Wang , Yi Zhong , Rongpeng Li , Xiaohu Ge , Tony Q. S. Quek , Guoqiang Mao

Here we investigate the dynamics of indirect reciprocity on networks, a type of social dynamics in which the attitude of individuals, either cooperative or antagonistic, toward other individuals changes over time by their actions and mutual…

Physics and Society · Physics 2021-09-01 Koji Oishi , Shuhei Miyano , Kimmo Kaski , Takashi Shimada

We introduce a new class of latent process models for dynamic relational network data with the goal of detecting time-dependent structure. Network data are often observed over time, and static network models for such data may fail to…

Methodology · Statistics 2013-11-15 Lucy F. Robinson , Carey E. Priebe

Dynamic graphs have emerged as an appropriate model to capture the changing nature of many modern networks, such as peer-to-peer overlays and mobile ad hoc networks. Most of the recent research on dynamic networks has only addressed the…

Data Structures and Algorithms · Computer Science 2011-02-02 Oksana Denysyuk , Luis Rodrigues

We introduce a model for random-walking nodes on a periodic lattice, where the dynamic interaction network is defined from local interactions and E randomly-added long-range links. With periodic states for nodes and an interaction rule of…

Statistical Mechanics · Physics 2012-04-27 Suhan Ree

In statistical network analysis it is common to observe so called interaction data. Such data is characterized by actors forming the vertices and interacting along edges of the network, where edges are randomly formed and dissolved over the…

Methodology · Statistics 2024-07-15 Alexander Kreiss , Enno Mammen , Wolfgang Polonik

For many power-limited networks, such as wireless sensor networks and mobile ad hoc networks, maximizing the network lifetime is the first concern in the related designing and maintaining activities. We study the network lifetime from the…

Networking and Internet Architecture · Computer Science 2016-06-24 Xianxia Yang , Cunlai Pu , Meichen Yan , Rajput Ramiz Sharafat , Jian Yang

This article proposes methods to model nonstationary temporal graph processes. This corresponds to modelling the observation of edge variables (relationships between objects) indicating interactions between pairs of nodes (or objects)…

Methodology · Statistics 2022-07-07 Maria Suveges , Sofia C. Olhede

This paper considers a random access system where each sender can be in two modes of operation, active or not active, and where the set of active users is available to a common receiver only. Active transmitters encode data into independent…

Information Theory · Computer Science 2016-11-18 Paolo Minero , Massimo Franceschetti , David N. C. Tse

We study the growth of bipartite networks in which the number of nodes in one of the partitions is kept fixed while the other partition is allowed to grow. We study random and preferential attachment as well as combination of both. We…

Disordered Systems and Neural Networks · Physics 2009-11-13 Fernando Peruani , Monojit Choudhury , Animesh Mukherjee , Niloy Ganguly

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

We introduce a model for the emergence of innovations, in which cognitive processes are described as random walks on the network of links among ideas or concepts, and an innovation corresponds to the first visit of a node. The transition…

Physics and Society · Physics 2018-01-25 Iacopo Iacopini , Staša Milojević , Vito Latora

A wireless network in which packets are broadcast to a group of receivers through use of a random access protocol is considered in this work. The relation to previous work on networks of interacting queues is discussed and subsequently, the…

Information Theory · Computer Science 2007-11-05 Brooke Shrader , Anthony Ephremides

We study directed random graphs (random graphs whose edges are directed) as they evolve in discrete time by the addition of nodes and edges. For two distinct evolution strategies, one that forces the graph to a condition of near acyclicity…

Statistical Mechanics · Physics 2007-05-23 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Optimization of information freshness in wireless networks has usually been performed based on queueing analysis that captures only the temporal traffic dynamics associated with the transmitters and receivers. However, the effect of…

Information Theory · Computer Science 2020-02-21 Howard H. Yang , Ahmed Arafa , Tony Q. S. Quek , H. Vincent Poor

Controlling a complex network is of great importance in many applications. The network can be controlled by inputting external control signals through some selected nodes, which are called input nodes. Previous works found that the majority…

Social and Information Networks · Computer Science 2019-10-23 Xizhe Zhang , Qian Li

We consider weakly interacting jump processes on time-varying random graphs with dynamically changing multi-color edges. The system consists of a large number of nodes in which the node dynamics depends on the joint empirical distribution…

Probability · Mathematics 2021-07-19 Erhan Bayraktar , Ruoyu Wu