Matches in SemOpenAlex for { <https://semopenalex.org/work/W2884872474> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2884872474 abstract "We study the problem of approximating the value of the matching polynomial on graphs with edge parameter $gamma$, where $gamma$ takes arbitrary values in the complex plane. When $gamma$ is a positive real, Jerrum and Sinclair showed that the problem admits an FPRAS on general graphs. For general complex values of $gamma$, Patel and Regts, building on methods developed by Barvinok, showed that the problem admits an FPTAS on graphs of maximum degree $Delta$ as long as $gamma$ is not a negative real number less than or equal to $-1/(4(Delta-1))$. Our first main result completes the picture for the approximability of the matching polynomial on bounded degree graphs. We show that for all $Deltageq 3$ and all real $gamma$ less than $-1/(4(Delta-1))$, the problem of approximating the value of the matching polynomial on graphs of maximum degree $Delta$ with edge parameter $gamma$ is #P-hard. We then explore whether the maximum degree parameter can be replaced by the connective constant. Sinclair et al. showed that for positive real $gamma$ it is possible to approximate the value of the matching polynomial using a correlation decay algorithm on graphs with bounded connective constant (and potentially unbounded maximum degree). We first show that this result does not extend in general in the complex plane; in particular, the problem is #P-hard on graphs with bounded connective constant for a dense set of $gamma$ values on the negative real axis. Nevertheless, we show that the result does extend for any complex value $gamma$ that does not lie on the negative real axis. Our analysis accounts for complex values of $gamma$ using geodesic distances in the complex plane in the metric defined by an appropriate density function." @default.
- W2884872474 created "2018-08-03" @default.
- W2884872474 creator A5029293569 @default.
- W2884872474 creator A5055688854 @default.
- W2884872474 creator A5088287514 @default.
- W2884872474 creator A5089713528 @default.
- W2884872474 date "2018-07-13" @default.
- W2884872474 modified "2023-09-27" @default.
- W2884872474 title "The complexity of approximating the matching polynomial in the complex plane." @default.
- W2884872474 cites W1660495057 @default.
- W2884872474 cites W1991832118 @default.
- W2884872474 cites W1997999115 @default.
- W2884872474 cites W2004724832 @default.
- W2884872474 cites W2037389370 @default.
- W2884872474 cites W2055519174 @default.
- W2884872474 cites W2072467734 @default.
- W2884872474 cites W2106285343 @default.
- W2884872474 cites W2585507481 @default.
- W2884872474 cites W2607730504 @default.
- W2884872474 cites W2775956831 @default.
- W2884872474 cites W2963721130 @default.
- W2884872474 cites W2964131987 @default.
- W2884872474 cites W2964192312 @default.
- W2884872474 cites W3037516720 @default.
- W2884872474 cites W3135924815 @default.
- W2884872474 hasPublicationYear "2018" @default.
- W2884872474 type Work @default.
- W2884872474 sameAs 2884872474 @default.
- W2884872474 citedByCount "0" @default.
- W2884872474 crossrefType "posted-content" @default.
- W2884872474 hasAuthorship W2884872474A5029293569 @default.
- W2884872474 hasAuthorship W2884872474A5055688854 @default.
- W2884872474 hasAuthorship W2884872474A5088287514 @default.
- W2884872474 hasAuthorship W2884872474A5089713528 @default.
- W2884872474 hasConcept C105795698 @default.
- W2884872474 hasConcept C114614502 @default.
- W2884872474 hasConcept C118615104 @default.
- W2884872474 hasConcept C121332964 @default.
- W2884872474 hasConcept C134306372 @default.
- W2884872474 hasConcept C165064840 @default.
- W2884872474 hasConcept C17825722 @default.
- W2884872474 hasConcept C199360897 @default.
- W2884872474 hasConcept C24890656 @default.
- W2884872474 hasConcept C2524010 @default.
- W2884872474 hasConcept C2775997480 @default.
- W2884872474 hasConcept C2777027219 @default.
- W2884872474 hasConcept C311688 @default.
- W2884872474 hasConcept C33923547 @default.
- W2884872474 hasConcept C34388435 @default.
- W2884872474 hasConcept C41008148 @default.
- W2884872474 hasConcept C90119067 @default.
- W2884872474 hasConceptScore W2884872474C105795698 @default.
- W2884872474 hasConceptScore W2884872474C114614502 @default.
- W2884872474 hasConceptScore W2884872474C118615104 @default.
- W2884872474 hasConceptScore W2884872474C121332964 @default.
- W2884872474 hasConceptScore W2884872474C134306372 @default.
- W2884872474 hasConceptScore W2884872474C165064840 @default.
- W2884872474 hasConceptScore W2884872474C17825722 @default.
- W2884872474 hasConceptScore W2884872474C199360897 @default.
- W2884872474 hasConceptScore W2884872474C24890656 @default.
- W2884872474 hasConceptScore W2884872474C2524010 @default.
- W2884872474 hasConceptScore W2884872474C2775997480 @default.
- W2884872474 hasConceptScore W2884872474C2777027219 @default.
- W2884872474 hasConceptScore W2884872474C311688 @default.
- W2884872474 hasConceptScore W2884872474C33923547 @default.
- W2884872474 hasConceptScore W2884872474C34388435 @default.
- W2884872474 hasConceptScore W2884872474C41008148 @default.
- W2884872474 hasConceptScore W2884872474C90119067 @default.
- W2884872474 hasLocation W28848724741 @default.
- W2884872474 hasOpenAccess W2884872474 @default.
- W2884872474 hasPrimaryLocation W28848724741 @default.
- W2884872474 hasRelatedWork W1506627918 @default.
- W2884872474 hasRelatedWork W2023065146 @default.
- W2884872474 hasRelatedWork W2042977557 @default.
- W2884872474 hasRelatedWork W2079758416 @default.
- W2884872474 hasRelatedWork W2090119011 @default.
- W2884872474 hasRelatedWork W2130030709 @default.
- W2884872474 hasRelatedWork W2162945291 @default.
- W2884872474 hasRelatedWork W2209387264 @default.
- W2884872474 hasRelatedWork W2783218141 @default.
- W2884872474 hasRelatedWork W2904152387 @default.
- W2884872474 hasRelatedWork W2953059252 @default.
- W2884872474 hasRelatedWork W3089108840 @default.
- W2884872474 hasRelatedWork W3104625252 @default.
- W2884872474 hasRelatedWork W3157711583 @default.
- W2884872474 hasRelatedWork W3160231765 @default.
- W2884872474 hasRelatedWork W3166880264 @default.
- W2884872474 hasRelatedWork W3181611173 @default.
- W2884872474 hasRelatedWork W3196476531 @default.
- W2884872474 hasRelatedWork W42852446 @default.
- W2884872474 hasRelatedWork W2123734400 @default.
- W2884872474 isParatext "false" @default.
- W2884872474 isRetracted "false" @default.
- W2884872474 magId "2884872474" @default.
- W2884872474 workType "article" @default.