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In this paper, we study the fundamental property of the ad hoc network using connectivity index. We investigate the construction of minimum cost multicast trees by selecting a link having minimum connectivity Index and comparing application required bandwidth with (available bandwidth - allocated bandwidth) of the link. We have shown that Increase in total connectivity Index of the entire network increases no. of spanning trees. Due to the lack of redundancy in multi-path and multicast structures, the multicast routing protocols are vulnerable to the failure in ad-hoc networks. So it is the dire need to come across the fault tolerant solution. This paper proposes edge disjoint spanning tree Multicasting based on connectivity index with bandwidth constraint.