Mobility increases the capacity of ad hoc wireless networks
IEEE/ACM Transactions on Networking (TON)
An Evaluation of Connectivity in Mobile Wireless Ad Hoc Networks
DSN '02 Proceedings of the 2002 International Conference on Dependable Systems and Networks
Latency of wireless sensor networks with uncoordinated power saving mechanisms
Proceedings of the 5th ACM international symposium on Mobile ad hoc networking and computing
Scaling laws for ad hoc wireless networks: an information theoretic approach
Foundations and Trends® in Networking
Ad-hoc Networks: Fundamental Properties and Network Topologies
Ad-hoc Networks: Fundamental Properties and Network Topologies
Performance Evaluation of Dynamic Networks using an Evolving Graph Combinatorial Model
WIMOB '06 Proceedings of the 2006 IEEE International Conference on Wireless and Mobile Computing, Networking and Communications
Mobile Network Analysis Using Probabilistic Connectivity Matrices
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
The capacity of wireless networks
IEEE Transactions on Information Theory
Building a reference combinatorial model for MANETs
IEEE Network: The Magazine of Global Internetworking
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Wireless multihop networks are being increasingly used in military and civilian applications. Advanced applications of wireless multihop networks demand better understanding on their properties. Existing research on wireless multihop networks has largely focused on static networks, where the network topology is time-invariant; and there is comparatively a lack of understanding on the properties of dynamic networks with dynamically changing topology. In this paper, we use and extend a recently proposed graph theoretic model, i.e. evolving graphs, to capture the characteristics of such networks. We extend and develop the concepts of route matrix, connectivity matrix and probabilistic connectivity matrix as convenient tools to characterize and investigate the properties of evolving graphs and the associated dynamic networks. The properties of these matrices are established and their relevance to the properties of dynamic wireless multihop networks are introduced.