Matches in SemOpenAlex for { <https://semopenalex.org/work/W1723348560> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W1723348560 abstract "We study the lift-and-project procedures of Lov{'a}sz-Schrijver and Sherali-Adams applied to the standard linear programming relaxation of the traveling salesperson problem with triangle inequality. For the asymmetric TSP tour problem, Charikar, Goemans, and Karloff (FOCS 2004) proved that the integrality gap of the standard relaxation is at least 2. We prove that after one round of the Lov{'a}sz-Schrijver or Sherali-Adams procedures, the integrality gap of the asymmetric TSP tour problem is at least 3/2, with a small caveat on which version of the standard relaxation is used. For the symmetric TSP tour problem, the integrality gap of the standard relaxation is known to be at least 4/3, and Cheung (SIOPT 2005) proved that it remains at least 4/3 after $o(n)$ rounds of the Lov{'a}sz-Schrijver procedure, where $n$ is the number of nodes. For the symmetric TSP path problem, the integrality gap of the standard relaxation is known to be at least 3/2, and we prove that it remains at least 3/2 after $o(n)$ rounds of the Lov{'a}sz-Schrijver procedure, by a simple reduction to Cheung's result." @default.
- W1723348560 created "2016-06-24" @default.
- W1723348560 creator A5004743191 @default.
- W1723348560 date "2011-07-06" @default.
- W1723348560 modified "2023-09-27" @default.
- W1723348560 title "Lift-and-Project Integrality Gaps for the Traveling Salesperson Problem" @default.
- W1723348560 cites W1485993952 @default.
- W1723348560 cites W1527502067 @default.
- W1723348560 cites W1714357736 @default.
- W1723348560 cites W1976151323 @default.
- W1723348560 cites W1977134485 @default.
- W1723348560 cites W2009803313 @default.
- W1723348560 cites W2038652993 @default.
- W1723348560 cites W2049143039 @default.
- W1723348560 cites W2058748455 @default.
- W1723348560 cites W2058937865 @default.
- W1723348560 cites W2059222268 @default.
- W1723348560 cites W2062254875 @default.
- W1723348560 cites W2063836932 @default.
- W1723348560 cites W2083896132 @default.
- W1723348560 cites W2106264302 @default.
- W1723348560 cites W2117226423 @default.
- W1723348560 cites W2123701486 @default.
- W1723348560 cites W2132169470 @default.
- W1723348560 cites W2137717103 @default.
- W1723348560 cites W2165142526 @default.
- W1723348560 cites W2324108981 @default.
- W1723348560 cites W626292722 @default.
- W1723348560 cites W98187312 @default.
- W1723348560 hasPublicationYear "2011" @default.
- W1723348560 type Work @default.
- W1723348560 sameAs 1723348560 @default.
- W1723348560 citedByCount "0" @default.
- W1723348560 crossrefType "posted-content" @default.
- W1723348560 hasAuthorship W1723348560A5004743191 @default.
- W1723348560 hasConcept C114614502 @default.
- W1723348560 hasConcept C124101348 @default.
- W1723348560 hasConcept C126255220 @default.
- W1723348560 hasConcept C139002025 @default.
- W1723348560 hasConcept C15744967 @default.
- W1723348560 hasConcept C175859090 @default.
- W1723348560 hasConcept C199360897 @default.
- W1723348560 hasConcept C2776029896 @default.
- W1723348560 hasConcept C2777735758 @default.
- W1723348560 hasConcept C33923547 @default.
- W1723348560 hasConcept C41008148 @default.
- W1723348560 hasConcept C77805123 @default.
- W1723348560 hasConceptScore W1723348560C114614502 @default.
- W1723348560 hasConceptScore W1723348560C124101348 @default.
- W1723348560 hasConceptScore W1723348560C126255220 @default.
- W1723348560 hasConceptScore W1723348560C139002025 @default.
- W1723348560 hasConceptScore W1723348560C15744967 @default.
- W1723348560 hasConceptScore W1723348560C175859090 @default.
- W1723348560 hasConceptScore W1723348560C199360897 @default.
- W1723348560 hasConceptScore W1723348560C2776029896 @default.
- W1723348560 hasConceptScore W1723348560C2777735758 @default.
- W1723348560 hasConceptScore W1723348560C33923547 @default.
- W1723348560 hasConceptScore W1723348560C41008148 @default.
- W1723348560 hasConceptScore W1723348560C77805123 @default.
- W1723348560 hasLocation W17233485601 @default.
- W1723348560 hasOpenAccess W1723348560 @default.
- W1723348560 hasPrimaryLocation W17233485601 @default.
- W1723348560 hasRelatedWork W1581729816 @default.
- W1723348560 hasRelatedWork W1977134485 @default.
- W1723348560 hasRelatedWork W2002025272 @default.
- W1723348560 hasRelatedWork W2083896132 @default.
- W1723348560 hasRelatedWork W2095865457 @default.
- W1723348560 hasRelatedWork W2104727719 @default.
- W1723348560 hasRelatedWork W2148872782 @default.
- W1723348560 hasRelatedWork W2276905128 @default.
- W1723348560 hasRelatedWork W2399112183 @default.
- W1723348560 hasRelatedWork W2467099678 @default.
- W1723348560 hasRelatedWork W2570315187 @default.
- W1723348560 hasRelatedWork W278947496 @default.
- W1723348560 hasRelatedWork W2949160485 @default.
- W1723348560 hasRelatedWork W2951093874 @default.
- W1723348560 hasRelatedWork W2951508903 @default.
- W1723348560 hasRelatedWork W2951914620 @default.
- W1723348560 hasRelatedWork W2952886284 @default.
- W1723348560 hasRelatedWork W2964386895 @default.
- W1723348560 hasRelatedWork W3157845808 @default.
- W1723348560 hasRelatedWork W3082510923 @default.
- W1723348560 isParatext "false" @default.
- W1723348560 isRetracted "false" @default.
- W1723348560 magId "1723348560" @default.
- W1723348560 workType "article" @default.