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In this paper, we develop e cient admission control tests for member join leave and its associated state refresh and update procedures for receiver-initiated core-based multicast routing, e.g., Core Based Tree CBT protocol, to allow construction of QoS-capable multicast trees, while making the minimum possible impact to the existing infrastructure. Speci cally, we i derive su cient conditions for a multicast tree to maintain its QoS; ii devise e ective admission tests to verify whether or not adoi:10.1109/icdcs.1999.776503 dblp:conf/icdcs/TyanHW99 fatcat:ifzlhxu6rvga5npwmf7lk5vazq