Abstract
One of the main benefits of multicast communication is the overall reduction of network load. To quantify this reduction, when compared to traditional unicast, experimental studies by Chuang and Sirbu indicated the so called power law which asserts that the ratio R(n) of the average number of links in a multicast delivery tree connecting n sites to the average number of links in a unicast path is Θ(n0.8). Our goal is to explain theoretically this behavior. Claiming that the essence of the phenomenon lies in the geometry of the internet and its modeling assumptions, we introduce the model of self-similar trees with similarity factor 0 ≤ θ
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