Multicast capacity for multi-hop multi-channel multi-radio wireless networks
Proceedings of the 12th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems - MSWiM '09
Assume that n wireless nodes are randomly deployed in a square region with side-length a and all nodes have the uniform transmission range r and uniform interference range R = Θ(r). Each node is equipped with φ interfaces. There are C = O(min(nr 2 /a 2 , log n)) channels of equal bandwidth W C available. We consider a random (C, g) channel assignment where each node may switch between a preassigned random subset of g channels (with g ≥ φ). In this paper, we study the multicast capacity of such
... t capacity of such a random wireless network, where for each node vi, we randomly pick k − 1 nodes from the other n−1 nodes as the receivers of the multicast session rooted at node vi. We derive matching asymptotic upper bounds and lower bounds on multicast capacity. We show that the per-flow multicast capacity is Θ(W P rnd n log n · 1 √ k ) when k = O( P rnd ·n log n ), where P rnd denotes the probability that two nodes share at least one channel. Our bounds unify the previous capacity bounds on unicast (when k = 2) by Bhandari and Vaidya  for multi-channel multi-radio networks.