directed hypergraphs algorithms and applications - Free

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Similar approach can be used in a suitable way to define: Inferior functions Weakly inferior functions Clearly SINF ⊂ INF ⊂ WINF Measures based on functions in INF: bottleneck, path-product [0, 1] Measures based on functions in WINF\INF: threshold
In the following we will see how (and under what costs) Dijkstra algorithm can be extended to compute optimum hyperpaths for measures based on superior functions and on weakly superior functions. Similar approach can used for extending Dijkstra algorithm to compute optimum hyperpaths for measures based on inferior functions and on weakly inferior functions.
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 and 18: Generalization: Bellman-Ford equati
Page 19 and 20: Functional directed hypergraph H F
Page 21 and 22: Minimization of superior context fr
Page 23: Weakly superior functions (WSUP): g
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,

directed hypergraphs algorithms and applications - Free

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