Matches in SemOpenAlex for { <https://semopenalex.org/work/W1550179875> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W1550179875 endingPage "339" @default.
- W1550179875 startingPage "328" @default.
- W1550179875 abstract "We prove a complexity dichotomy theorem for a class of Holant Problems over k-regular graphs, for any fixed k These problems can be viewed as graph homomorphisms from an arbitrary k-regular input graph G to the weighted two vertex graph on {0,1} defined by a symmetric function h We completely classify the computational complexity of this problem We show that there are exactly the following alternatives, for any given h Depending on h, over k-regular graphs: Either (1) the problem is #P-hard even for planar graphs; or (2) the problem is #P-hard for general (non-planar) graphs, but solvable in polynomial time for planar graphs; or (3) the problem is solvable in polynomial time for general graphs The dependence on h is an explicit criterion Furthermore, we show that in case (2) the problem is solvable in polynomial time over k-regular planar graphs, by exactly the theory of holographic algorithms using matchgates." @default.
- W1550179875 created "2016-06-24" @default.
- W1550179875 creator A5019882889 @default.
- W1550179875 creator A5029588621 @default.
- W1550179875 date "2010-01-01" @default.
- W1550179875 modified "2023-10-16" @default.
- W1550179875 title "A Dichotomy for k-Regular Graphs with {0, 1}-Vertex Assignments and Real Edge Functions" @default.
- W1550179875 cites W2006912660 @default.
- W1550179875 cites W2012041962 @default.
- W1550179875 cites W2012753562 @default.
- W1550179875 cites W2032292489 @default.
- W1550179875 cites W2056017121 @default.
- W1550179875 cites W2077575555 @default.
- W1550179875 cites W2115826669 @default.
- W1550179875 cites W2118223706 @default.
- W1550179875 cites W2123280677 @default.
- W1550179875 cites W2145707075 @default.
- W1550179875 cites W2154899352 @default.
- W1550179875 cites W2174085268 @default.
- W1550179875 cites W4298290503 @default.
- W1550179875 doi "https://doi.org/10.1007/978-3-642-13562-0_30" @default.
- W1550179875 hasPublicationYear "2010" @default.
- W1550179875 type Work @default.
- W1550179875 sameAs 1550179875 @default.
- W1550179875 citedByCount "9" @default.
- W1550179875 countsByYear W15501798752012 @default.
- W1550179875 countsByYear W15501798752014 @default.
- W1550179875 crossrefType "book-chapter" @default.
- W1550179875 hasAuthorship W1550179875A5019882889 @default.
- W1550179875 hasAuthorship W1550179875A5029588621 @default.
- W1550179875 hasConcept C114614502 @default.
- W1550179875 hasConcept C132525143 @default.
- W1550179875 hasConcept C154945302 @default.
- W1550179875 hasConcept C162307627 @default.
- W1550179875 hasConcept C33923547 @default.
- W1550179875 hasConcept C41008148 @default.
- W1550179875 hasConcept C80899671 @default.
- W1550179875 hasConceptScore W1550179875C114614502 @default.
- W1550179875 hasConceptScore W1550179875C132525143 @default.
- W1550179875 hasConceptScore W1550179875C154945302 @default.
- W1550179875 hasConceptScore W1550179875C162307627 @default.
- W1550179875 hasConceptScore W1550179875C33923547 @default.
- W1550179875 hasConceptScore W1550179875C41008148 @default.
- W1550179875 hasConceptScore W1550179875C80899671 @default.
- W1550179875 hasLocation W15501798751 @default.
- W1550179875 hasOpenAccess W1550179875 @default.
- W1550179875 hasPrimaryLocation W15501798751 @default.
- W1550179875 hasRelatedWork W1978042415 @default.
- W1550179875 hasRelatedWork W2017331178 @default.
- W1550179875 hasRelatedWork W2077912780 @default.
- W1550179875 hasRelatedWork W2346500824 @default.
- W1550179875 hasRelatedWork W2519898166 @default.
- W1550179875 hasRelatedWork W2964314221 @default.
- W1550179875 hasRelatedWork W2976797620 @default.
- W1550179875 hasRelatedWork W3086542228 @default.
- W1550179875 hasRelatedWork W3172957635 @default.
- W1550179875 hasRelatedWork W4299532214 @default.
- W1550179875 isParatext "false" @default.
- W1550179875 isRetracted "false" @default.
- W1550179875 magId "1550179875" @default.
- W1550179875 workType "book-chapter" @default.