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Summary of complexities of enumeration problems.md
| ... | ... | @@ -3,4 +3,5 @@ We will describe the results of complexities of enumeration problems |
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| 4 | 4 | * (Minimal dominating set) and (minimal hitting sets) are equivalent [M. M. Kanté, V. Limouzy, A. Mary and L. Nourine, "On the enumeration of minimal dominating sets and related notions.", SIAM Journal on Discrete Mathematics, vol.28, no.4, pp.1916-1929, 2014] |
| 5 | 5 | * (Minimal dominating set) and (total minimal dominating sets) are equivalent [M. M. Kanté, V. Limouzy, A. Mary and L. Nourine, "On the enumeration of minimal dominating sets and related notions.", SIAM Journal on Discrete Mathematics, vol.28, no.4, pp.1916-1929, 2014] |
| 6 | -* If there is an output-polynomial time algorithm for (minimal connected vertex cover enumeration on bipartite graph), then there is an output-polynomial time algorithm for enumerating (minimal transversal in hypergraphs) [Y. Kobayashi, K. Kurita, Y. Matsui and H. Ono, "Enumerating minimal vertex covers and dominating sets with capacity and/or connectivity constraints.", arXiv preprint arXiv:2308.16426, 2023] |
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| 0 | +* If there is an output-polynomial time algorithm for (minimal connected vertex cover enumeration on bipartite graph), then there is an output-polynomial time algorithm for enumerating (minimal transversal in hypergraphs) [Y. Kobayashi, K. Kurita, Y. Matsui and H. Ono, "Enumerating minimal vertex covers and dominating sets with capacity and/or connectivity constraints.", arXiv preprint arXiv:2308.16426, 2023] |
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| 1 | +* If there is an output-polynomial time algorithm for (minimal connected dominating set enumeration on co-bipartite graphs), then there is an output-polynomial time algorithm for enumerating (minimal transversal in hypergraphs) [Y. Kobayashi, K. Kurita, Y. Matsui and H. Ono, "Enumerating minimal vertex covers and dominating sets with capacity and/or connectivity constraints.", arXiv preprint arXiv:2308.16426, 2023] |
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