MODELS AND ALGORITHMS FOR PAGERANK SENSITIVITY

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MODELS AND ALGORITHMS FOR PAGERANK SENSITIVITY ( models-and-algorithms-for-pagerank-sensitivity )

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126 6 ⋅ software Consider this function function fh=generate_counter() value = 0; function curval=counter(k) curval = value; value = value+k; end fh=@counter; end With this function stored in generate_counter.m, then c = generate_counter() c(5) c(1) c2 = generate_counter() c2(1) c2(1) produces the following output: ans = 0 ans = 5 ans = 0 ans = 1 Using this technique, we first design an “in-place” library for Matlab that allows a matrix or vector to be passed by reference and not by value.12 The three classes of the in-place library are 1. ipdouble, 2. ipint32, and 3. inplace. Each class constructor takes an existing array and converts it to a type that has pass-by-reference semantics. Without pass-by-reference, the following function is useless: function add_one_inplace(a) a(1) = a(1) + 1; When a is an in-place array from our library, then it becomes useful. Consider this next example. n = 1000000; ipa = ipdouble(ones(n,1)); % turn the array of all ones into add_one_inplace(ipa); % a pass by reference type ipa(1) ans = 2 Using in-place variables allows us to write visitors easily in MatlabBGL. Let us now address the types of visitors in the BGL. Algorithms in the BGL define two types of visitors: vertex visitors and edge visitors. A common vertex visitor is the examine_vertex function. For the BFSVisitor concept, the Boost graph library defines the following prototype for that visitor: void visitor::examine_vertex(Vertex u, Graph& g) 12 Matlab implements a pass-by-value scheme with a copy-on-write optimiza- tion.

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