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By Johann-Christoph Freytag, Peter Lockemann, Serge Abiteboul, Michael Carey, Patricia Selinger and Andreas Heuer (Eds.)
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Extra info for Proceedings 2003 VLDB Conference
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Org) > pLanguage #: English ( R ) = [R,{e > b,e > c,e > d}] Figure 5: The B operator 9 Case 4: One operand is plain, other is ranked. , ranks are purely determined by f. 9 Case 5: One operand is ranked, other is ordered. To compute [R, f] • [S, >s], the ranked relation is convened to the corresponding ordered relation [R, >y] and Case 2 is used to compute JR, > f] • [S, > s]. 9 Case 6: Both operands are ranked. Both operands are converted to the corresponding ordered relations and Case 2 applies.
Thus, given a relation R and ranking function f : R • {R} ~ [0, 1], we define ~P(f, R) = [R, f]. Compose (Oh,op). The compose operator O is used to merge two ranked relations to produce another ranked relation. ,-, x}) that defines how the tuples of the resulting relation are constructed. The composition function assigns a new rank for each tuple of the result, using the ranks of all the tuples in the operand relations. We provide several examples of rank composition in Section 5. Order (~). The B operator constructs an ordered relation, given either a ranked relation or a plain base relation.
Formal model of a Web repository. We model a Web repository as a 6-tuple W (Zp, Z1, WR, 79, s f ), where" - 2Without loss of generality, we assume that the attribute names in R do not clash with these specially added rank attributes. I We do not include intra-page hyperlinks in defining our set of links. 35 Category 9 2"p (resp. 2l) is an identifier space from which the pageID (resp. l i n k I D ) for every page (resp. link) is chosen. Without loss of generality, we assume that Zp nZl = 0, and that 2p and 2"l are disjoint with respect to the domain of any other attributes in W.