directed hypergraphs algorithms and applications - Free

More documents

Recommendations

Info

Reduction from SET-COVER Let us consider an instance of the SET-COVER decision problem: a universe A = {e 1, e 2, …, e n}, a family of sets S1, S2, …, Sm an integer k. A, We can construct a hypergraph such that there exists a hyperpath from node p to node t with k+n+1 hyperarcs iff there exists a set cover with k sets.
Measuring hyperpaths On <strong>directed</strong> <strong>hypergraphs</strong> a variety of measures can be defined , all collapsing into the usual notion of cost of a path when the hypergraph is a digraph. In some cases such measures lead to tractable (polynomial time) minimum hyperpath problems that are also easy to maintain in the dynamic case.
Page 1 and 2: DIRECTED HYPERGRAPHS ALGORITHMS AND
Page 3: Shortest Hyperpath Problems The fol
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 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,

directed hypergraphs algorithms and applications - Free

Create successful ePaper yourself

Delete template?

Save as template?