directed hypergraphs algorithms and applications - Free

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Note that more generally we may have that: - the functions ψ and f may be different from hyperarc to hyperarc - the source set of a hyperarc should be defined as an ordered tuple because the composition function ψ might not be associative and commutative.
Functional directed hypergraph H F = where F establishes a correspondence between any hyperarc (X, t) in H and three entities: - a weight w X,t - a function ψ such that ψ X,t : D |X| → D - a function f such that f X,t : D 2 → D
Page 1 and 2: DIRECTED HYPERGRAPHS ALGORITHMS AND
Page 3 and 4: Shortest Hyperpath Problems The fol
Page 5 and 6: Measuring hyperpaths On directed hy
Page 7 and 8: Left Hyperpath Gap=3 Rank=4 Gap and
Page 9 and 10: An example of the folded an unfolde
Page 11 and 12: Example. In the most intuitive case
Page 13 and 14: Threshold: t = (0, max, max) t (∅
Page 15 and 16: The most general formulation of (si
Page 17: Generalization: Bellman-Ford equati
Page 21 and 22: Minimization of superior context fr
Page 23 and 24: Weakly superior functions (WSUP): g
Page 25 and 26: In the following we will see how (a
Page 27 and 28: Algorithm 1 - Let H = be a directe
Page 29 and 30: Algorithm 1 can be applied to minim
Page 31 and 32: In the previous example we have the
Page 33 and 34: Note that in this case convergence
Page 35 and 36: Algorithm 2 computes all shortest d
Page 37: Essential references • Ausiello,

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