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eventually terminate at a particular node from which no further branches will emerge
...By now it is perhaps apparent that when we were talking about ring structures and threaded lists in some of our examples we were really demonstrating how to implement a tree structure
...Another example of a tree structure is the directory associated with an index sequential file
...The use of tree structures in computer science dates back to the early 1950 s when it was realised that the so called binary search could readily be represented by a binary tree
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| 78 |
Let us suppose that a set of documents D l,D 2,D 3,D 4,D 5,D 6,D 7,D 8 has been classified into four groups,that is D l,D 2,D 3,D 4,D 5,D 6,D 7,D 8 Furthermore these have themselves been classified into two groups,D l,D 2,D 3,D 4,D 5,D 6,D 7,D 8 The dendrogram for this structure would be that given in Figure 4
...The Di indicates a description representation of a document
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| 54 |
the hierarchy one can identify a set of classes,and as one moves up the hierarchy the classes at the lower levels are nested in the classes at the higher levels
...It is now a simple matter to define single link in terms of these graphs;at any level a single link cluster is precisely the set of vertices of a connected component of the graph at that level
...corresponding clusters at those levels
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| 53 |
between the algorithms of Rocchio,Rieber and Marathe,Bonner see below and his own
...One further algorithm that should be mentioned here is that due to Litofsky [28]...Finally,the Bonner [45]algorithm should be mentioned
...The major advantage of the algorithmically defined cluster methods is their speed:order n log n where n is the number of objects to be clustered compared with order n 2 for the methods based on association measures
...One obvious omission from the list of cluster methods is the group of mathematically or statistically based methods such as Factor Analysis and Latest Class Analysis
...The method of single link avoids the disadvantages just mentioned
...Single link The dissimilarity coefficient is the basic input to a single link clustering algorithm
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