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Spatial interference alignment among a finite number of users is proposed as a technique to increase the probability of successful transmission in an interference limited clustered wireless ad hoc network. Using techniques from stochastic…

Information Theory · Computer Science 2010-01-14 R. Tresch , M. Guillaud

Large real-life complex networks are often modeled by various random graph constructions and hundreds of further references therein. In many cases it is not at all clear how the modeling strength of differently generated random graph model…

Data Structures and Algorithms · Computer Science 2020-09-01 András Faragó , Rupei Xu

In a wide range of complex networks, the links between the nodes are temporal and may sporadically appear and disappear. This temporality is fundamental to analyze the formation of paths within such networks. Moreover, the presence of the…

Physics and Society · Physics 2017-09-20 Shahriar Etemadi Tajbakhsh , Justin P. Coon , David E. Simmons

k-connectivity is an important measure of network robustness and resilience to random faults and disruptions. We undertake both local and global approaches to k-connectivity and calculate closed form analytic formulas for the probability…

Disordered Systems and Neural Networks · Physics 2013-12-13 Orestis Georgiou , Carl P. Dettmann , Justin Coon

In this paper we study mobile ad hoc wireless networks using the notion of evolving connectivity graphs. In such systems, the connectivity changes over time due to the intermittent contacts of mobile terminals. In particular, we are…

Networking and Internet Architecture · Computer Science 2013-12-09 Lorenzo Maggi , Francesco De Pellegrini

Low probability of detection (LPD) has recently emerged as a means to enhance the privacy and security of wireless networks. Unlike existing wireless security techniques, LPD measures aim to conceal the entire existence of wireless…

Machine Learning · Computer Science 2023-06-05 Sivaram Krishnan , Jihong Park , Subhash Sagar , Gregory Sherman , Benjamin Campbell , Jinho Choi

In this paper we study the one dimensional random geometric graph when the location of the nodes are independent and exponentially distributed. We derive exact results and the limit theorems for the connectivity and other properties…

Probability · Mathematics 2007-05-23 Bhupendra Gupta , Srikanth K. Iyer , D. Manjunath

Recent research has demonstrated the importance of boundary effects on the overall connection probability of wireless networks, but has largely focused on convex domains. We consider two generic scenarios of practical importance to wireless…

Information Theory · Computer Science 2014-03-06 Mohammud Z. Bocus , Carl P. Dettmann , Justin P. Coon , Mohammed R. Rahman

We study connectivity properties in a probabilistic model for a large mobile ad-hoc network. We consider a large number of participants of the system moving randomly, independently and identically distributed in a large domain, with a…

Probability · Mathematics 2016-06-07 Hanna Döring , Gabriel Faraud , Wolfgang König

This article investigates the connectivity dimension of a graph. We introduce this concept in analogy to the metric dimension of a graph, providing a graph parameter that measures the heterogeneity of the connectivity structure of a graph.…

Combinatorics · Mathematics 2025-08-14 Kurt Klement Gottwald , Tobias Hofmann

We consider a dense, ad hoc wireless network, confined to a small region. The wireless network is operated as a single cell, i.e., only one successful transmission is supported at a time. Data packets are sent between sourcedestination…

Networking and Internet Architecture · Computer Science 2009-07-22 Venkatesh Ramaiyan , Anurag Kumar , Eitan Altman

We investigate the connectivity of a wireless sensor network secured by the heterogeneous key predistribution scheme under an independent on/off channel model. The heterogeneous scheme induces an inhomogeneous random key graph, denoted by…

Optimization and Control · Mathematics 2017-10-09 Rashad Eletreby , Osman Yağan

The connectivity properties of ad hoc networks have been extensively studied over the past few years, from local observables, to global network properties. In this paper we introduce a novel layer of network dynamics which lives and evolves…

Networking and Internet Architecture · Computer Science 2016-02-05 Orestis Georgiou , Georgios Kalogridis , Hachem Yassine , Stojan Denic

We find conditions for the connectivity of inhomogeneous random graphs with intermediate density. Our results generalize the classical result for G(n, p), when p = c log n/n. We draw n independent points X_i from a general distribution on a…

Probability · Mathematics 2012-10-25 Luc Devroye , Nicolas Fraiman

Graph theory is a promising approach in handling the problem of estimating the connectivity probability of vehicular ad-hoc networks (VANETs). With a communication network represented as graph, graph connectivity indicators become valid for…

Networking and Internet Architecture · Computer Science 2023-05-03 Samar Elaraby , Sherif M. Abuelenin

In this paper, we analyze the performance of cooperative transmissions in wireless ad hoc networks with random node locations. According to a contention probability for message transmission, each source node can either transmits its own…

Information Theory · Computer Science 2016-11-17 M. Mohammadi , H. A. Suraweera , X. Zhou

In this paper we present a methodology employing statistical analysis and stochastic geometry to study geometric routing schemes in wireless ad-hoc networks. In particular, we analyze the network layer performance of one such scheme, the…

Networking and Internet Architecture · Computer Science 2014-01-21 Armin Banaei , Daren B. H. Cline , Costas N. Georghiades , Shuguang Cui

This letter proposes a novel random medium access control (MAC) based on a transmission opportunity prediction, which can be measured in a form of a conditional success probability given transmitter-side interference. A transmission…

Networking and Internet Architecture · Computer Science 2019-12-16 Jinho Choi , Seung-Woo Ko , Koji Yamamoto , Seong-Lyun Kim

What is the impact of obstacles on the graphs of connections between stations in Mobile Ad hoc Networks? In order to answer, at least partially, this question, the first step is to define both an environment with obstacles and a mobility…

Networking and Internet Architecture · Computer Science 2009-11-03 Cédric Gaël Aboue-Nze , Frédéric Guinand , Yoann Pigné

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. Assuming that the nodes of the wireless network are distributed as a…

Information Theory · Computer Science 2016-11-17 Rahul Vaze