By J.C. Catford
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Consider also its adjacency matrix A. An entry apq is deﬁned by the following: apq = 1 =0 if there is a link between Web pages p and q. Otherwise Here some of the properties that could be discovered from an adjacency matrix perspective: 1. A graph to itself, itself. 2. , app = 1. The situation will happen if a page points back to is said to be symmetric if for all edges p and q in X: iﬀ apq = 1 = 1. We say in this case that there is mutual endorsement. 26 2 Web Graphs 3. A graph is said to be not symmetric if there exists 2 edges p and q in G such that iﬀ apq = 1 then aqp = 0.
In particular, these are made available to exclude results deemed potentially inappropriate for viewing by children. 2 Search Engine Statistics () 1. Size: The size feature compared nine search engines, with MSN Search and HotBot representing the Inktomi database. This analysis used 25 small single word queries. google found more total hits than any other search engine. In addition, it placed ﬁrst on 25 of the 25 searches, more than any of the others and the ﬁrst time that any search engine placed ﬁrst on every single search.
Overlap: This analysis compares the results of four small searches run on ten diﬀerent search engines. The four searches found a total of 334 hits, 141 of which represented speciﬁc Web pages. Of those 141 hits, 71 were found by only one of the ten search engines while another 30 were found by only two. Several of the largest search engines have shown signiﬁcant growth since Feb. 2000, when the overlap comparison was last run. Even so, almost half of all pages found were only found by one of the search engines, and not always the same one.