Matches in SemOpenAlex for { <https://semopenalex.org/work/W2953120771> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2953120771 abstract "Graph homomorphism has been studied intensively. Given an m x m symmetric matrix A, the graph homomorphism function is defined as [Z_A (G) = sum_{f:V->[m]} prod_{(u,v)in E} A_{f(u),f(v)}, ] where G = (V,E) is any undirected graph. The function Z_A can encode many interesting graph properties, including counting vertex covers and k-colorings. We study the computational complexity of Z_A for arbitrary symmetric matrices A with algebraic complex values. Building on work by Dyer and Greenhill, Bulatov and Grohe, and especially the recent beautiful work by Goldberg, Grohe, Jerrum and Thurley, we prove a complete dichotomy theorem for this problem. We show that Z_A is either computable in polynomial-time or #P-hard, depending explicitly on the matrix A. We further prove that the tractability criterion on A is polynomial-time decidable." @default.
- W2953120771 created "2019-06-27" @default.
- W2953120771 creator A5008171524 @default.
- W2953120771 creator A5025408809 @default.
- W2953120771 creator A5029588621 @default.
- W2953120771 date "2009-03-27" @default.
- W2953120771 modified "2023-10-15" @default.
- W2953120771 title "Graph Homomorphisms with Complex Values: A Dichotomy Theorem" @default.
- W2953120771 cites W1539239336 @default.
- W2953120771 cites W1559445597 @default.
- W2953120771 cites W1567480656 @default.
- W2953120771 cites W1571873445 @default.
- W2953120771 cites W1585566083 @default.
- W2953120771 cites W1891894430 @default.
- W2953120771 cites W1975568166 @default.
- W2953120771 cites W1996266453 @default.
- W2953120771 cites W2004233416 @default.
- W2953120771 cites W2012753562 @default.
- W2953120771 cites W2033026830 @default.
- W2953120771 cites W2040145343 @default.
- W2953120771 cites W2058673868 @default.
- W2953120771 cites W2077575555 @default.
- W2953120771 cites W2096891389 @default.
- W2953120771 cites W2118223706 @default.
- W2953120771 cites W2123280677 @default.
- W2953120771 cites W2134273915 @default.
- W2953120771 cites W2134600856 @default.
- W2953120771 cites W2145707075 @default.
- W2953120771 cites W2150339067 @default.
- W2953120771 cites W2166566648 @default.
- W2953120771 cites W2293541501 @default.
- W2953120771 cites W2613956024 @default.
- W2953120771 cites W3183392806 @default.
- W2953120771 cites W633410365 @default.
- W2953120771 cites W655258421 @default.
- W2953120771 cites W2913798276 @default.
- W2953120771 hasPublicationYear "2009" @default.
- W2953120771 type Work @default.
- W2953120771 sameAs 2953120771 @default.
- W2953120771 citedByCount "5" @default.
- W2953120771 crossrefType "posted-content" @default.
- W2953120771 hasAuthorship W2953120771A5008171524 @default.
- W2953120771 hasAuthorship W2953120771A5025408809 @default.
- W2953120771 hasAuthorship W2953120771A5029588621 @default.
- W2953120771 hasConcept C114614502 @default.
- W2953120771 hasConcept C118615104 @default.
- W2953120771 hasConcept C126385604 @default.
- W2953120771 hasConcept C132525143 @default.
- W2953120771 hasConcept C14447369 @default.
- W2953120771 hasConcept C153269930 @default.
- W2953120771 hasConcept C203776342 @default.
- W2953120771 hasConcept C22149727 @default.
- W2953120771 hasConcept C33923547 @default.
- W2953120771 hasConcept C4042151 @default.
- W2953120771 hasConcept C7036158 @default.
- W2953120771 hasConcept C80899671 @default.
- W2953120771 hasConceptScore W2953120771C114614502 @default.
- W2953120771 hasConceptScore W2953120771C118615104 @default.
- W2953120771 hasConceptScore W2953120771C126385604 @default.
- W2953120771 hasConceptScore W2953120771C132525143 @default.
- W2953120771 hasConceptScore W2953120771C14447369 @default.
- W2953120771 hasConceptScore W2953120771C153269930 @default.
- W2953120771 hasConceptScore W2953120771C203776342 @default.
- W2953120771 hasConceptScore W2953120771C22149727 @default.
- W2953120771 hasConceptScore W2953120771C33923547 @default.
- W2953120771 hasConceptScore W2953120771C4042151 @default.
- W2953120771 hasConceptScore W2953120771C7036158 @default.
- W2953120771 hasConceptScore W2953120771C80899671 @default.
- W2953120771 hasLocation W29531207711 @default.
- W2953120771 hasOpenAccess W2953120771 @default.
- W2953120771 hasPrimaryLocation W29531207711 @default.
- W2953120771 hasRelatedWork W1559445597 @default.
- W2953120771 hasRelatedWork W1997649256 @default.
- W2953120771 hasRelatedWork W2012041962 @default.
- W2953120771 hasRelatedWork W2052210031 @default.
- W2953120771 hasRelatedWork W2056017121 @default.
- W2953120771 hasRelatedWork W2077575555 @default.
- W2953120771 hasRelatedWork W2115826669 @default.
- W2953120771 hasRelatedWork W2118223706 @default.
- W2953120771 hasRelatedWork W2145707075 @default.
- W2953120771 hasRelatedWork W2149123995 @default.
- W2953120771 hasRelatedWork W2175687389 @default.
- W2953120771 hasRelatedWork W2284243945 @default.
- W2953120771 hasRelatedWork W2579513981 @default.
- W2953120771 hasRelatedWork W2946703759 @default.
- W2953120771 hasRelatedWork W3004933311 @default.
- W2953120771 hasRelatedWork W3025479648 @default.
- W2953120771 hasRelatedWork W3040561118 @default.
- W2953120771 hasRelatedWork W3104498672 @default.
- W2953120771 hasRelatedWork W3106333994 @default.
- W2953120771 hasRelatedWork W3134252054 @default.
- W2953120771 isParatext "false" @default.
- W2953120771 isRetracted "false" @default.
- W2953120771 magId "2953120771" @default.
- W2953120771 workType "article" @default.