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Generalization: Bellman-Ford equations for shortest hyperpaths in hypergraphs. The case of the rank measure. ψ=‘max’ and f= ‘+’ A=0 B=A+1 C=min(A+6, D+1) D=max(B,C) +1 E=D+1 Solution: A=0 B=1 C=6 D=7 E=8
Generalization: Bellman-Ford equations for shortest hyperpaths in hypergraphs. The case of the average measure. ψ=‘average’ and f= ‘+’ A=0 B=A+1 C=min(A+6, D+1) D=average(B,C) +1 E=D+1 Solution: A=0 B=1 C=5 D=4 E=5
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: The most general formulation of (si
Page 19 and 20: Functional directed hypergraph H F
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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