10th IEEE Symposium on Computers and Communications (ISCC'05)
DOI: 10.1109/iscc.2005.34
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Approximating Optimal Multicast Trees in Wireless Multihop Networks

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Cited by 98 publications
(84 citation statements)
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“…According to [18] this problem is also NP-complete, even when every edge has the same cost, by reduction from the exact cover by 3-set. Although it is widely assumed that a Steiner tree is the minimal cost multicast tree, it is not generally true in multihop wireless networks [19]. The problem of minimizing the cost of a multicast tree in an ad hoc network needs to be re-formulated in terms of minimizing the number of the data transmissions.…”
Section: The Tree-based Multicast Algorithmmentioning
confidence: 99%
“…According to [18] this problem is also NP-complete, even when every edge has the same cost, by reduction from the exact cover by 3-set. Although it is widely assumed that a Steiner tree is the minimal cost multicast tree, it is not generally true in multihop wireless networks [19]. The problem of minimizing the cost of a multicast tree in an ad hoc network needs to be re-formulated in terms of minimizing the number of the data transmissions.…”
Section: The Tree-based Multicast Algorithmmentioning
confidence: 99%
“…In [12], the authors proved NP-Completeness of MNT and proposed a node minimized algorithm. They showed that, similar to minimum Steiner tree problems, MNT is also a NP-Complete problem, because this problem can be represented by the well-known vertex cover problem [5].…”
Section: Related Workmentioning
confidence: 99%
“…Recently, [3,9,12,13] suggested that reduction of bandwidth consumption in wireless networks is another key factor to affect the performance of multicast routing trees. Bandwidth consumption can be measured by counting the number of transmissions in a network and each transmission has its own bandwidth requirement.…”
Section: Introductionmentioning
confidence: 99%
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“…On the other hand MCT tree is based on minimum Steiner tree (MST) which is NP-Hard problem [3]. For wireless networks, the MCT cost is redefined in [4]. Because in wireless network the transmission of multicast packet to any number of neighbor can be done by single transmission, minimum cost tree is one which connect the source and receivers with minimum number of transmission.…”
Section: Introductionmentioning
confidence: 99%