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Figure 48-8: A minimum cost multicast tree The problem of finding a minimum cost tree is known as the Steiner Tree problem [Hakimi 1971] Solving this problem has been shown to be NP-complete [Garey 1978], but the approximation algorithm in [Kou 1981] has been proven to be within a constant of the optimal solution Other studies have shown that, in general, approximation algorithms for the Steiner tree problem do quite well in practice [Wall 1982, Waxman 1988, Wei 1993] Even though good heuristics exist for the Steiner tree problem, it is interesting to note that none of the existing Internet multicast routing algorithms have been based on this approach Why One reason is that information is needed about all links in the network Another reason is that in order for a minimum cost tree to be maintained, the algorithm needs to be re-run whenever link costs change Finally, we will see that other considerations, such as the ability to leverage the routing tables that have already been computed for unicast routing, play an important role in judging the suitability of a multicast routing algorithm In the end, performance (and optimality) are but one of many concerns An alternate approach towards determining the group-shared multicast tree, one that is used in practice by several Internet multicast routing algorithms, is based on the notion of defining a center node (also known as a rendezvous point or a core) in the single shared multicast routing tree In the center-based approach, a center node is first identified for the multicast group Routers with attached hosts belonging to the multicast group then unicast so-called "join" messages addressed to the center node A join message is forwarded using unicast routing towards the center until it either arrives at a router that already belongs to the multicast tree or arrives at the center In either case, the path that the join message has followed defines the branch of the routing tree between the edge router that initiated the join message and the center One can think of this new path as being "grafted" onto the existing multicast tree for the group.



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Both single page and multi-page Tiff image files are acceptable. Use C#.NET DLLs and Demo Code to Convert PDF to Tiff in C#.NET Program. C# convert, turn two or multiple pdf files to tiff (batch conversion) C# combine multiple pdf files, and convert to tiff. C# insert pdf pages into tiff file and create a new tiff file.

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NRV (open)

In the case of electrically switchable gratings, LCs remain the material of choice because of the ease of molecular reorientation under the effect of a voltage The photoisomerization of azobenzene should play the role of trigger for the grating formation Self-assembled LC gels combine the property of electric eld orientation of LCs and the possibility of a structural rearrangement induced by the photoisomerization of the azobenzene gelator Even though the grating obtained from the cholesteric LC gel as described in Section 114 falls short for practical applications, the interest of exploiting self-assembled LC gels is clear, since this approach may be generalized for many systems made from designed gelators and various types of LCs The key to the grating formation process in self-assembled LC gels is the dissolution of the physical network in the LC host in irradiated areas.

file:///D|/Downloads/Livros/computa o/Computer%20Newn%20Approach%20Featuring%20the%20Internet/mcasthtm (10 of 20)20/11/2004 15:52:28





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This may be enhanced by using azobenzene gelators whose cis form has a signi cantly higher polarity than the trans form, which increases the surface tension of the brous aggregates It also helps if the gelator could form very thin nano brous aggregates giving rise to a large speci c surface and thus a signi cant number of gelator molecules on the surface undergoing the trans cis photoisomerization Finally, further research effort is worth being made on materials for recording optically switchable diffraction gratings Optical control of optical properties, such as the diffraction, is not only academic curiosity but required for the.

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Figure 48-9: Constructing a center-based tree Figure 48-9 illustrates the construction of a center-based multicast routing tree Suppose that router E is selected as the center of the tree Node F first joins the multicast group and forwards a join message to E The single link EF becomes the initial multicast tree Node B then joins the multicast tree by sending its join message to E Suppose that the unicast path route to E from B is via D In this case, the join message results in the path BDE being grafted onto the multicast tree Finally, node A joins the multicast group by forwarding its join message towards E Let us assume that A's unicast path to E is through B Since B has already joined the multicast tree, the arrival of A's join message at B will result in the AB link being immediately grafted on to the multicast tree A critical question for center-based tree multicast routing is the process used to select the center Center selection algorithms are discussed in [Wall 1982, Thaler97, Estrin97] [Wall 982] shows that centers can be chosen so that the resulting tree is within a constant factor of optimum (the solution to the Steiner tree problem)

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