TY - GEN
T1 - On multicast trees
T2 - 22nd Annual Joint Conference of the IEEE Computer and Communications Societies, IEEE INFOCOM 2003
AU - Dolev, Danny
AU - Mokryn, Osnat
AU - Shavitt, Yuval
PY - 2003
Y1 - 2003
N2 - This work presents a thorough investigation of the structure of multicast trees cut from the Internet and power-law topologies. Based on both generated topologies and real Internet data, we characterize the structure of such trees and show that they obey the rank-degree power law; that most high degree tree nodes are concentrated in a low diameter neighborhood; and that the sub-tree size also obeys a power law. Our most surprising empirical finding suggests that there is a linear ratio between the number of highdegree network nodes, namely nodes whose tree degree is higher than some constant, and the number of leaf nodes in the multicast tree (clients). We also derive this ratio analytically. Based on this finding, we develop the Fast Algorithm, that estimates the number of clients, and show that it converges faster than one round trip delay from the root to a randomly selected client.
AB - This work presents a thorough investigation of the structure of multicast trees cut from the Internet and power-law topologies. Based on both generated topologies and real Internet data, we characterize the structure of such trees and show that they obey the rank-degree power law; that most high degree tree nodes are concentrated in a low diameter neighborhood; and that the sub-tree size also obeys a power law. Our most surprising empirical finding suggests that there is a linear ratio between the number of highdegree network nodes, namely nodes whose tree degree is higher than some constant, and the number of leaf nodes in the multicast tree (clients). We also derive this ratio analytically. Based on this finding, we develop the Fast Algorithm, that estimates the number of clients, and show that it converges faster than one round trip delay from the root to a randomly selected client.
UR - http://www.scopus.com/inward/record.url?scp=0042440617&partnerID=8YFLogxK
U2 - 10.1109/INFCOM.2003.1208938
DO - 10.1109/INFCOM.2003.1208938
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AN - SCOPUS:0042440617
SN - 0780377524
SN - 9780780377523
T3 - Proceedings - IEEE INFOCOM
SP - 1011
EP - 1021
BT - IEEE INFOCOM 2003
Y2 - 30 March 2003 through 3 April 2003
ER -