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directed hypergraphs algorithms and applications - Free

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Classification of the functions ψ <strong>and</strong> f<br />

Superior functions (SUP): g monotone non decreasing in each<br />

variable <strong>and</strong> g (x 1, …, x n) ≥ max{ x i | i = 1, …, n}<br />

Examples: max (x, y), (x + y), etc.<br />

Measures: traversal cost, rank, threshold, path-product [1, + ∞)<br />

Strictly superior functions (SSUP): g monotone non<br />

decreasing in each variable <strong>and</strong> g (x 1, …, x n) > max{ x i | i =<br />

1, …, n},<br />

Examples: x + y with positive variables<br />

Measures: traversal cost, rank with positive weights, pathproduct<br />

(1, + ∞)

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