Matches in SemOpenAlex for { <https://semopenalex.org/work/W3034142766> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3034142766 abstract "The quadratic travelling salesman problem (QTSP) is to find a least-cost Hamiltonian cycle in an edge-weighted graph, where costs are defined on all pairs of edges such that each edge in the pair is contained in the Hamiltonian cycle. This is a more general version than the one that appears in the literature as the QTSP, denoted here as the adjacent quadratic TSP, which only considers costs for pairs of adjacent edges. Major directions of research work on the linear TSP include exact algorithms, heuristics, approximation algorithms, polynomially solvable special cases and exponential neighbourhoods (Gutin G, Punnen A (eds): The traveling salesman problem and its variations, vol 12. Combinatorial optimization. Springer, New York, 2002) among others. In this paper we explore the complexity of searching exponential neighbourhoods for QTSP, the fixed-rank QTSP, and the adjacent quadratic TSP. The fixed-rank QTSP is introduced as a restricted version of the QTSP where the cost matrix has fixed rank p. It is shown that fixed-rank QTSP is solvable in pseudopolynomial time and admits an FPTAS for each of the special cases studied, except for the case of matching edge ejection tours. The adjacent quadratic TSP is shown to be polynomially-solvable in many of the cases for which the linear TSP is polynomially-solvable. Interestingly, optimizing over the matching edge ejection tour neighbourhood is shown to be pseudopolynomial for the rank 1 case without a linear term in the objective function, but NP-hard for the adjacent quadratic TSP case. We also show that the quadratic shortest path problem on an acyclic digraph can be solved in pseudopolynomial time and by an FPTAS when the rank of the associated cost matrix is fixed." @default.
- W3034142766 created "2020-06-12" @default.
- W3034142766 creator A5079361771 @default.
- W3034142766 creator A5082410578 @default.
- W3034142766 date "2020-06-02" @default.
- W3034142766 modified "2023-09-24" @default.
- W3034142766 title "A class of exponential neighbourhoods for the quadratic travelling salesman problem" @default.
- W3034142766 cites W1168951679 @default.
- W3034142766 cites W1484040084 @default.
- W3034142766 cites W1959100419 @default.
- W3034142766 cites W1995945236 @default.
- W3034142766 cites W2009443800 @default.
- W3034142766 cites W2010334716 @default.
- W3034142766 cites W2013414255 @default.
- W3034142766 cites W2029841189 @default.
- W3034142766 cites W2035174948 @default.
- W3034142766 cites W2035877252 @default.
- W3034142766 cites W2072484718 @default.
- W3034142766 cites W2074674109 @default.
- W3034142766 cites W2084751431 @default.
- W3034142766 cites W2085034315 @default.
- W3034142766 cites W2092501917 @default.
- W3034142766 cites W2102076751 @default.
- W3034142766 cites W2106727356 @default.
- W3034142766 cites W2107589604 @default.
- W3034142766 cites W2119233436 @default.
- W3034142766 cites W2120983471 @default.
- W3034142766 cites W2137849348 @default.
- W3034142766 cites W2161103838 @default.
- W3034142766 cites W2167597350 @default.
- W3034142766 cites W2308191028 @default.
- W3034142766 cites W2494301978 @default.
- W3034142766 cites W2554728250 @default.
- W3034142766 cites W2602684069 @default.
- W3034142766 cites W2783005523 @default.
- W3034142766 cites W2783589701 @default.
- W3034142766 cites W2792484713 @default.
- W3034142766 cites W3124896382 @default.
- W3034142766 cites W4236127247 @default.
- W3034142766 doi "https://doi.org/10.1007/s10878-020-00588-y" @default.
- W3034142766 hasPublicationYear "2020" @default.
- W3034142766 type Work @default.
- W3034142766 sameAs 3034142766 @default.
- W3034142766 citedByCount "1" @default.
- W3034142766 countsByYear W30341427662020 @default.
- W3034142766 crossrefType "journal-article" @default.
- W3034142766 hasAuthorship W3034142766A5079361771 @default.
- W3034142766 hasAuthorship W3034142766A5082410578 @default.
- W3034142766 hasBestOaLocation W30341427662 @default.
- W3034142766 hasConcept C114614502 @default.
- W3034142766 hasConcept C118615104 @default.
- W3034142766 hasConcept C126255220 @default.
- W3034142766 hasConcept C127705205 @default.
- W3034142766 hasConcept C129844170 @default.
- W3034142766 hasConcept C132525143 @default.
- W3034142766 hasConcept C134306372 @default.
- W3034142766 hasConcept C151376022 @default.
- W3034142766 hasConcept C164226766 @default.
- W3034142766 hasConcept C175859090 @default.
- W3034142766 hasConcept C2524010 @default.
- W3034142766 hasConcept C33923547 @default.
- W3034142766 hasConcept C52692508 @default.
- W3034142766 hasConcept C86524685 @default.
- W3034142766 hasConcept C98036226 @default.
- W3034142766 hasConceptScore W3034142766C114614502 @default.
- W3034142766 hasConceptScore W3034142766C118615104 @default.
- W3034142766 hasConceptScore W3034142766C126255220 @default.
- W3034142766 hasConceptScore W3034142766C127705205 @default.
- W3034142766 hasConceptScore W3034142766C129844170 @default.
- W3034142766 hasConceptScore W3034142766C132525143 @default.
- W3034142766 hasConceptScore W3034142766C134306372 @default.
- W3034142766 hasConceptScore W3034142766C151376022 @default.
- W3034142766 hasConceptScore W3034142766C164226766 @default.
- W3034142766 hasConceptScore W3034142766C175859090 @default.
- W3034142766 hasConceptScore W3034142766C2524010 @default.
- W3034142766 hasConceptScore W3034142766C33923547 @default.
- W3034142766 hasConceptScore W3034142766C52692508 @default.
- W3034142766 hasConceptScore W3034142766C86524685 @default.
- W3034142766 hasConceptScore W3034142766C98036226 @default.
- W3034142766 hasFunder F4320334593 @default.
- W3034142766 hasLocation W30341427661 @default.
- W3034142766 hasLocation W30341427662 @default.
- W3034142766 hasOpenAccess W3034142766 @default.
- W3034142766 hasPrimaryLocation W30341427661 @default.
- W3034142766 hasRelatedWork W16138695 @default.
- W3034142766 hasRelatedWork W18536736 @default.
- W3034142766 hasRelatedWork W32416303 @default.
- W3034142766 hasRelatedWork W39612167 @default.
- W3034142766 hasRelatedWork W40832866 @default.
- W3034142766 hasRelatedWork W45713346 @default.
- W3034142766 hasRelatedWork W47252518 @default.
- W3034142766 hasRelatedWork W50345188 @default.
- W3034142766 hasRelatedWork W5720473 @default.
- W3034142766 hasRelatedWork W5929286 @default.
- W3034142766 isParatext "false" @default.
- W3034142766 isRetracted "false" @default.
- W3034142766 magId "3034142766" @default.
- W3034142766 workType "article" @default.