Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952645537> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2952645537 abstract "We study the Travelling Salesman Problem (TSP) on the metric completion of cubic and subcubic graphs, which is known to be NP-hard. The problem is of interest because of its relation to the famous 4/3 conjecture for metric TSP, which says that the integrality gap, i.e., the worst case ratio between the optimal values of the TSP and its linear programming relaxation (the subtour elimination relaxation), is 4/3. We present the first algorithm for cubic graphs with approximation ratio 4/3. The proof uses polyhedral techniques in a surprising way, which is of independent interest. In fact we prove constructively that for any cubic graph on $n$ vertices a tour of length 4n/3-2 exists, which also implies the 4/3 conjecture, as an upper bound, for this class of graph-TSP. Recently, Momke and Svensson presented a randomized algorithm that gives a 1.461-approximation for graph-TSP on general graphs and as a side result a 4/3-approximation algorithm for this problem on subcubic graphs, also settling the 4/3 conjecture for this class of graph-TSP. We will present a way to derandomize their algorithm which leads to a smaller running time than the obvious derandomization. All of the latter also works for multi-graphs." @default.
- W2952645537 created "2019-06-27" @default.
- W2952645537 creator A5018484781 @default.
- W2952645537 creator A5025268829 @default.
- W2952645537 creator A5044184077 @default.
- W2952645537 creator A5047920456 @default.
- W2952645537 date "2011-07-06" @default.
- W2952645537 modified "2023-10-03" @default.
- W2952645537 title "The traveling salesman problem on cubic and subcubic graphs" @default.
- W2952645537 cites W144989587 @default.
- W2952645537 cites W1522552921 @default.
- W2952645537 cites W1582969422 @default.
- W2952645537 cites W1714357736 @default.
- W2952645537 cites W1965255372 @default.
- W2952645537 cites W1993298089 @default.
- W2952645537 cites W2005152226 @default.
- W2952645537 cites W2011449951 @default.
- W2952645537 cites W2014294736 @default.
- W2952645537 cites W2032495288 @default.
- W2952645537 cites W2038652993 @default.
- W2952645537 cites W2062254875 @default.
- W2952645537 cites W2063836932 @default.
- W2952645537 cites W2077642252 @default.
- W2952645537 cites W2087818742 @default.
- W2952645537 cites W2112540280 @default.
- W2952645537 cites W2136400551 @default.
- W2952645537 cites W2141355868 @default.
- W2952645537 cites W2142607374 @default.
- W2952645537 cites W2324108981 @default.
- W2952645537 cites W2327315803 @default.
- W2952645537 cites W413067204 @default.
- W2952645537 hasPublicationYear "2011" @default.
- W2952645537 type Work @default.
- W2952645537 sameAs 2952645537 @default.
- W2952645537 citedByCount "1" @default.
- W2952645537 countsByYear W29526455372014 @default.
- W2952645537 crossrefType "posted-content" @default.
- W2952645537 hasAuthorship W2952645537A5018484781 @default.
- W2952645537 hasAuthorship W2952645537A5025268829 @default.
- W2952645537 hasAuthorship W2952645537A5044184077 @default.
- W2952645537 hasAuthorship W2952645537A5047920456 @default.
- W2952645537 hasConcept C100500283 @default.
- W2952645537 hasConcept C114614502 @default.
- W2952645537 hasConcept C118615104 @default.
- W2952645537 hasConcept C126255220 @default.
- W2952645537 hasConcept C132525143 @default.
- W2952645537 hasConcept C175859090 @default.
- W2952645537 hasConcept C203776342 @default.
- W2952645537 hasConcept C22149727 @default.
- W2952645537 hasConcept C2780990831 @default.
- W2952645537 hasConcept C33923547 @default.
- W2952645537 hasConceptScore W2952645537C100500283 @default.
- W2952645537 hasConceptScore W2952645537C114614502 @default.
- W2952645537 hasConceptScore W2952645537C118615104 @default.
- W2952645537 hasConceptScore W2952645537C126255220 @default.
- W2952645537 hasConceptScore W2952645537C132525143 @default.
- W2952645537 hasConceptScore W2952645537C175859090 @default.
- W2952645537 hasConceptScore W2952645537C203776342 @default.
- W2952645537 hasConceptScore W2952645537C22149727 @default.
- W2952645537 hasConceptScore W2952645537C2780990831 @default.
- W2952645537 hasConceptScore W2952645537C33923547 @default.
- W2952645537 hasOpenAccess W2952645537 @default.
- W2952645537 hasRelatedWork W1751846631 @default.
- W2952645537 hasRelatedWork W2070676992 @default.
- W2952645537 hasRelatedWork W2075240586 @default.
- W2952645537 hasRelatedWork W2082242399 @default.
- W2952645537 hasRelatedWork W2114312806 @default.
- W2952645537 hasRelatedWork W2127485201 @default.
- W2952645537 hasRelatedWork W2145478238 @default.
- W2952645537 hasRelatedWork W2157537934 @default.
- W2952645537 hasRelatedWork W2759740247 @default.
- W2952645537 hasRelatedWork W2785736399 @default.
- W2952645537 hasRelatedWork W2885123131 @default.
- W2952645537 hasRelatedWork W2897988526 @default.
- W2952645537 hasRelatedWork W2972568639 @default.
- W2952645537 hasRelatedWork W3002826123 @default.
- W2952645537 hasRelatedWork W3088857247 @default.
- W2952645537 hasRelatedWork W3201703753 @default.
- W2952645537 hasRelatedWork W48399392 @default.
- W2952645537 hasRelatedWork W610181447 @default.
- W2952645537 hasRelatedWork W968734414 @default.
- W2952645537 hasRelatedWork W3001243123 @default.
- W2952645537 isParatext "false" @default.
- W2952645537 isRetracted "false" @default.
- W2952645537 magId "2952645537" @default.
- W2952645537 workType "article" @default.