In this paper we propose a set of necessary and sufficient conditions under which the throughput in an ad-hoc network can remain constant as the number of nodes n increases. Throughput refers to the minimum achievable rate between a source-destination pair for a given routing mechanism and physical model, when the network is shared by \Theta(n) randomly chosen source-destination pairs. The main idea is to use a connectivity graph, that does not represent the actual physical network, but rather the available communication resources.
Pavlos Nikolopoulos, Muhammad Abdullah, Zeinab Shmeis
Wulfram Gerstner, Clément Hongler, Johanni Michael Brea, Francesco Spadaro, Berfin Simsek, Arthur Jacot
Felix Schürmann, Bruno Ricardo Da Cunha Magalhães