Matches in SemOpenAlex for { <https://semopenalex.org/work/W1786652263> ?p ?o ?g. }
- W1786652263 endingPage "437" @default.
- W1786652263 startingPage "426" @default.
- W1786652263 abstract "The Exponential Time Hypothesis (ETH) says that deciding the satisfiability of n-variable 3-CNF formulas requires time (exp(Omega(n))). We relax this hypothesis by introducing its counting version #ETH, namely that every algorithm that counts the satisfying assignments requires time (exp(Omega(n))). We transfer the sparsification lemma for d-CNF formulas to the counting setting, which makes #ETH robust.Under this hypothesis, we show lower bounds for well-studied #P-hard problems: Computing the permanent of an n×n matrix with m nonzero entries requires time (exp(Omega(m))). Restricted to 01-matrices, the bound is (exp(Omega(m/log m))). Computing the Tutte polynomial of a multigraph with n vertices and m edges requires time (exp(Omega(n))) at points (x,y) with (x − 1)(y − 1) ≠ 1 and y ∉ {0,±1}. At points (x,0) with (x not in {0,pm 1}) it requires time (exp(Omega(n))), and if x = − 2, − 3,..., it requires time (exp(Omega(m))). For simple graphs, the bound is (exp(Omega(m/log^3 m)))." @default.
- W1786652263 created "2016-06-24" @default.
- W1786652263 creator A5034205918 @default.
- W1786652263 creator A5041727204 @default.
- W1786652263 creator A5052689442 @default.
- W1786652263 date "2010-01-01" @default.
- W1786652263 modified "2023-09-26" @default.
- W1786652263 title "Exponential Time Complexity of the Permanent and the Tutte Polynomial" @default.
- W1786652263 cites W135100588 @default.
- W1786652263 cites W1497895992 @default.
- W1786652263 cites W1546260663 @default.
- W1786652263 cites W1806347466 @default.
- W1786652263 cites W1977162457 @default.
- W1786652263 cites W1988642505 @default.
- W1786652263 cites W1995725694 @default.
- W1786652263 cites W2006912660 @default.
- W1786652263 cites W2007200873 @default.
- W1786652263 cites W2021082954 @default.
- W1786652263 cites W2023541349 @default.
- W1786652263 cites W2039763834 @default.
- W1786652263 cites W2042764910 @default.
- W1786652263 cites W2082002555 @default.
- W1786652263 cites W2086333739 @default.
- W1786652263 cites W2096833188 @default.
- W1786652263 cites W2122765404 @default.
- W1786652263 cites W2130504407 @default.
- W1786652263 cites W2142148165 @default.
- W1786652263 cites W3021394452 @default.
- W1786652263 cites W4243285511 @default.
- W1786652263 doi "https://doi.org/10.1007/978-3-642-14165-2_37" @default.
- W1786652263 hasPublicationYear "2010" @default.
- W1786652263 type Work @default.
- W1786652263 sameAs 1786652263 @default.
- W1786652263 citedByCount "15" @default.
- W1786652263 countsByYear W17866522632012 @default.
- W1786652263 countsByYear W17866522632013 @default.
- W1786652263 countsByYear W17866522632014 @default.
- W1786652263 countsByYear W17866522632015 @default.
- W1786652263 countsByYear W17866522632018 @default.
- W1786652263 countsByYear W17866522632020 @default.
- W1786652263 countsByYear W17866522632022 @default.
- W1786652263 crossrefType "book-chapter" @default.
- W1786652263 hasAuthorship W1786652263A5034205918 @default.
- W1786652263 hasAuthorship W1786652263A5041727204 @default.
- W1786652263 hasAuthorship W1786652263A5052689442 @default.
- W1786652263 hasBestOaLocation W17866522632 @default.
- W1786652263 hasConcept C111472728 @default.
- W1786652263 hasConcept C114614502 @default.
- W1786652263 hasConcept C118615104 @default.
- W1786652263 hasConcept C121332964 @default.
- W1786652263 hasConcept C132525143 @default.
- W1786652263 hasConcept C134306372 @default.
- W1786652263 hasConcept C138885662 @default.
- W1786652263 hasConcept C14447369 @default.
- W1786652263 hasConcept C151376022 @default.
- W1786652263 hasConcept C168773769 @default.
- W1786652263 hasConcept C17758045 @default.
- W1786652263 hasConcept C18903297 @default.
- W1786652263 hasConcept C203776342 @default.
- W1786652263 hasConcept C22149727 @default.
- W1786652263 hasConcept C2777759810 @default.
- W1786652263 hasConcept C2779557605 @default.
- W1786652263 hasConcept C2780586882 @default.
- W1786652263 hasConcept C311688 @default.
- W1786652263 hasConcept C33923547 @default.
- W1786652263 hasConcept C46757340 @default.
- W1786652263 hasConcept C62520636 @default.
- W1786652263 hasConcept C63553672 @default.
- W1786652263 hasConcept C71017364 @default.
- W1786652263 hasConcept C77553402 @default.
- W1786652263 hasConcept C86803240 @default.
- W1786652263 hasConceptScore W1786652263C111472728 @default.
- W1786652263 hasConceptScore W1786652263C114614502 @default.
- W1786652263 hasConceptScore W1786652263C118615104 @default.
- W1786652263 hasConceptScore W1786652263C121332964 @default.
- W1786652263 hasConceptScore W1786652263C132525143 @default.
- W1786652263 hasConceptScore W1786652263C134306372 @default.
- W1786652263 hasConceptScore W1786652263C138885662 @default.
- W1786652263 hasConceptScore W1786652263C14447369 @default.
- W1786652263 hasConceptScore W1786652263C151376022 @default.
- W1786652263 hasConceptScore W1786652263C168773769 @default.
- W1786652263 hasConceptScore W1786652263C17758045 @default.
- W1786652263 hasConceptScore W1786652263C18903297 @default.
- W1786652263 hasConceptScore W1786652263C203776342 @default.
- W1786652263 hasConceptScore W1786652263C22149727 @default.
- W1786652263 hasConceptScore W1786652263C2777759810 @default.
- W1786652263 hasConceptScore W1786652263C2779557605 @default.
- W1786652263 hasConceptScore W1786652263C2780586882 @default.
- W1786652263 hasConceptScore W1786652263C311688 @default.
- W1786652263 hasConceptScore W1786652263C33923547 @default.
- W1786652263 hasConceptScore W1786652263C46757340 @default.
- W1786652263 hasConceptScore W1786652263C62520636 @default.
- W1786652263 hasConceptScore W1786652263C63553672 @default.
- W1786652263 hasConceptScore W1786652263C71017364 @default.
- W1786652263 hasConceptScore W1786652263C77553402 @default.
- W1786652263 hasConceptScore W1786652263C86803240 @default.
- W1786652263 hasLocation W17866522631 @default.
- W1786652263 hasLocation W17866522632 @default.