Conjunctive Queries
Conjunctive Queries
Conjunctive Queries
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Hypergraph and the tree<br />
decomposition<br />
Hypergraph and the tree<br />
decomposition<br />
11<br />
h8<br />
h1<br />
1 2<br />
3<br />
1,11,17,19<br />
11<br />
h8<br />
h1<br />
1 2<br />
3<br />
1,11,17,19<br />
12<br />
h9<br />
h14<br />
18<br />
h15<br />
h10 h2 h3<br />
13 19 4<br />
h6 h7<br />
h11<br />
17 7 5 h4<br />
16<br />
14 15 8 9 6<br />
h12<br />
h5<br />
h13 10<br />
1,2,3,4,5,6 11,12,17,18,19<br />
3,4,5,6,7,8 12,16,17,18,19<br />
5,6,7,8,9<br />
7,9,10<br />
12,15,16,18,19<br />
12,13,14,15,18,19<br />
12<br />
h9<br />
h14<br />
18<br />
h15<br />
h10 h2 h3<br />
13 19 4<br />
h6 h7<br />
h11<br />
17 7 5 h4<br />
16<br />
14 15 8 9 6<br />
h12<br />
h5<br />
h13 10<br />
1,2,3,4,5,6 11,12,17,18,19<br />
3,4,5,6,7,8 12,16,17,18,19<br />
5,6,7,8,9<br />
7,9,10<br />
12,15,16,18,19<br />
12,13,14,15,18,19<br />
Hypergraph and the tree<br />
decomposition<br />
Generalized hypertree<br />
decomposition<br />
11<br />
h8<br />
h1<br />
1 2<br />
3<br />
1,11,17,19<br />
11<br />
h8<br />
h1<br />
1 2<br />
3<br />
h8(1,11), h15(1,17,19)<br />
12<br />
h9<br />
h14<br />
18<br />
h15<br />
h10 h2 h3<br />
13 19 4<br />
h6 h7<br />
h11<br />
17 7 5 h4<br />
16<br />
14 15 8 9 6<br />
h5<br />
h12 h13 10<br />
1,2,3,4,5,6 11,12,17,18,19<br />
3,4,5,6,7,8 12,16,17,18,19<br />
5,6,7,8,9<br />
7,9,10<br />
12,15,16,18,19<br />
12,13,14,15,18,19<br />
12<br />
h9<br />
h14<br />
18<br />
h15<br />
h10 h2<br />
13 19 4<br />
h6<br />
h11<br />
17 7<br />
16<br />
14 15 8 9<br />
h12 h13<br />
h5<br />
h3<br />
5<br />
h7<br />
6<br />
10<br />
h4<br />
h1(1,2,3), h2(1,4,5,6)<br />
h2(_,4,5,6), h3(3,4,7,8)<br />
h4(5,7), h5(6,8,9)<br />
h6(7,9,10)<br />
h9(11,12,18), h15(_,17,19)<br />
h10(12,_,19), h14(16,17,18)<br />
h9(_,12,18), h13(15,16,19)<br />
h10(12,13,19), h12(14,15,18)<br />
Generalized hypetree decomposition of width 2
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