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- W2072739841 abstract "A technique is presented for the identification of the knot group of knots, links, and other embedded graphs as a tool in numerical studies of entanglements of polymers. With this technique, the knot group is simultaneously more discriminating and easier to calculate than the knot invariants that have been used in such studies in the past. It can be applied even in cases of very complex knot projections with hundreds of crossings. Starting from an arbitrary projection of an embedded graph, we generate a sequence of representations, any one of which is a full and complete representation of the knot group. Any two knot groups are isomorphic if they have identical representations. Therefore, we compare the sequence of representations of any given knot or link against a previously determined lookup table, and if the group of the knot or link is represented in this table we eventually find a match and identify the knot group." @default.
- W2072739841 created "2016-06-24" @default.
- W2072739841 creator A5025095877 @default.
- W2072739841 date "2007-12-26" @default.
- W2072739841 modified "2023-09-27" @default.
- W2072739841 title "Efficient knot group identification as a tool for studying entanglements of polymers" @default.
- W2072739841 cites W1530495800 @default.
- W2072739841 cites W1576336213 @default.
- W2072739841 cites W1703476009 @default.
- W2072739841 cites W1966527298 @default.
- W2072739841 cites W1966853719 @default.
- W2072739841 cites W1973761784 @default.
- W2072739841 cites W1973822501 @default.
- W2072739841 cites W1975537778 @default.
- W2072739841 cites W1981581896 @default.
- W2072739841 cites W1982072154 @default.
- W2072739841 cites W1983917808 @default.
- W2072739841 cites W1984447149 @default.
- W2072739841 cites W1986529284 @default.
- W2072739841 cites W1989980582 @default.
- W2072739841 cites W1994179894 @default.
- W2072739841 cites W1997277188 @default.
- W2072739841 cites W1999727838 @default.
- W2072739841 cites W2000510411 @default.
- W2072739841 cites W2006959689 @default.
- W2072739841 cites W2008798066 @default.
- W2072739841 cites W2010564000 @default.
- W2072739841 cites W2010769170 @default.
- W2072739841 cites W2011063539 @default.
- W2072739841 cites W2012944471 @default.
- W2072739841 cites W2015619491 @default.
- W2072739841 cites W2026289554 @default.
- W2072739841 cites W2028916128 @default.
- W2072739841 cites W2029671636 @default.
- W2072739841 cites W2031814977 @default.
- W2072739841 cites W2032840402 @default.
- W2072739841 cites W2033484470 @default.
- W2072739841 cites W2034647396 @default.
- W2072739841 cites W2039730856 @default.
- W2072739841 cites W2042126754 @default.
- W2072739841 cites W2042240637 @default.
- W2072739841 cites W2045370774 @default.
- W2072739841 cites W2048436284 @default.
- W2072739841 cites W2053569158 @default.
- W2072739841 cites W2055555040 @default.
- W2072739841 cites W2056245737 @default.
- W2072739841 cites W2058223814 @default.
- W2072739841 cites W2061228217 @default.
- W2072739841 cites W2064230672 @default.
- W2072739841 cites W2066316101 @default.
- W2072739841 cites W2066601092 @default.
- W2072739841 cites W2068853089 @default.
- W2072739841 cites W2070816181 @default.
- W2072739841 cites W2073841499 @default.
- W2072739841 cites W2075737629 @default.
- W2072739841 cites W2078274249 @default.
- W2072739841 cites W2078510672 @default.
- W2072739841 cites W2081492272 @default.
- W2072739841 cites W2082120375 @default.
- W2072739841 cites W2082388363 @default.
- W2072739841 cites W2082612727 @default.
- W2072739841 cites W2085529455 @default.
- W2072739841 cites W2085896937 @default.
- W2072739841 cites W2087596922 @default.
- W2072739841 cites W2087836673 @default.
- W2072739841 cites W2089157038 @default.
- W2072739841 cites W2090062156 @default.
- W2072739841 cites W2091919572 @default.
- W2072739841 cites W2092990737 @default.
- W2072739841 cites W2095414103 @default.
- W2072739841 cites W2101238121 @default.
- W2072739841 cites W2102212328 @default.
- W2072739841 cites W2103717137 @default.
- W2072739841 cites W2107067291 @default.
- W2072739841 cites W2111739975 @default.
- W2072739841 cites W2117568348 @default.
- W2072739841 cites W2118325378 @default.
- W2072739841 cites W2139342346 @default.
- W2072739841 cites W2147816199 @default.
- W2072739841 cites W2150891709 @default.
- W2072739841 cites W2161660855 @default.
- W2072739841 cites W2162150005 @default.
- W2072739841 cites W2167104421 @default.
- W2072739841 cites W2171352062 @default.
- W2072739841 cites W2171771888 @default.
- W2072739841 cites W3103709945 @default.
- W2072739841 cites W3104197208 @default.
- W2072739841 cites W3105286033 @default.
- W2072739841 cites W3105852408 @default.
- W2072739841 cites W3122576246 @default.
- W2072739841 cites W4234082958 @default.
- W2072739841 cites W4238316345 @default.
- W2072739841 cites W4253725485 @default.
- W2072739841 cites W4254180029 @default.
- W2072739841 cites W580877849 @default.
- W2072739841 cites W86039670 @default.
- W2072739841 doi "https://doi.org/10.1063/1.2806928" @default.
- W2072739841 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/18163700" @default.
- W2072739841 hasPublicationYear "2007" @default.
- W2072739841 type Work @default.