cairo_lang_utils::graph_algos

Module feedback_set

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A feedback-vertex-set is a set of vertices whose removal leaves a graph without cycles (https://en.wikipedia.org/wiki/Feedback_vertex_set).

We use this algorithm to spot the relevant places for adding withdraw_gas statements in the resulting Sierra code - there should be a withdraw_gas call in every recursive call, or in other words, in any cycle in the function call graph. An efficient algorithm to find the minimum feedback-vertex-set in a directed graph is not known, so here we implement some straight-forward algorithm that guarantees to cover all the cycles in the graph, but doesn’t necessarily produce the minimum size of such a set.

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