Results 11 to 20 of about 284,061 (274)
A Self-Linking Invariant of Virtual Knots [PDF]
, 2004 In this paper we introduce a new invariant of virtual knots and links that is non-trivial for infinitely many virtuals, but is trivial on classical knots and links.
Kauffman, Louis H.
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Polynomial Invariants of Graphs [PDF]
Transactions of the American Mathematical Society, 1987 We define two polynomials f ( G ) f(G) and f ∗ ( G ) {f^{\ast }}(G) for a graph G G by a recursive formula with respect to deformation of graphs.
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The Extended Invariant Factor Algorithm with Application to the Forney Analysis of Convolutional Codes [PDF]
, 1993 In his celebrated paper on the algebraic structure of convolutional codes, Forney showed that by using the invariant-factor theorem, one can transform an arbitrary polynomial generator matrix for an (n, k) convolutional code C into a basic (and ...
McEliece, Robert J., Onyszchuk, Ivan
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POLYNOMIALS REPRESENTING EYNARD-ORANTIN INVARIANTS [PDF]
The Quarterly Journal of Mathematics, 2012 The Eynard-Orantin invariants of a plane curve are multilinear differentials on the curve. For a particular class of genus zero plane curves these invariants can be equivalently expressed in terms of simpler expressions given by polynomials obtained from an expansion of the Eynard-Orantin invariants around a point on the curve.
Norbury, Paul, Scott, Nick
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On a zonal polynomial integral
Journal of Applied Mathematics, 2003 A certain multiple integral occurring in the studies of Beherens-Fisher multivariate problem has been evaluated by Mathai et al. (1995) in terms of invariant polynomials.
A. K. Gupta, D. G. Kabe
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Polynomial measure of coherence
New Journal of Physics, 2017 Coherence, the superposition of orthogonal quantum states, is indispensable in various quantum processes. Inspired by the polynomial invariant for classifying and quantifying entanglement, we first define polynomial coherence measure and systematically ...
You Zhou +3 more
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Polynomial automorphisms and invariants
Journal of Algebra, 2003 The tame generators problem asks if the automorphism group of a polynomial ring in \(n\) variables over a field \(k\) can be generated by triangular and linear automorphisms, and this is the case for \(n=2\). After the remarkable result by \textit{I. P. Shestakov} and \textit{U. U. Umirbaev} [J. Am. Math. Soc. 17, No. 1, 181--196 (2004; Zbl 1044.17014),
Essen, A.R.P. van den, Peretz, R.
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POLYNOMIAL INVARIANTS OF VIRTUAL LINKS [PDF]
Journal of Knot Theory and Its Ramifications, 2003 Properties of polynomial invariants Δi for oriented virtual links are established. The effects of taking mirror images and reversing orientation of the link diagram are described. The relationship between Δ0(u,v) and an invariant of F. Jaeger, L. Kauffman, H. Saleur and J. Sawollek is discussed.
Silver, Daniel S., Williams, Susan G.
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Polynomial invariants and Vassiliev invariants
Geometry & Topology Monographs, 2002 Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper7.abs ...
Jeong, Myeong-Ju, Park, Chan-Young
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Learning knot invariants across dimensions
SciPost Physics, 2023 We use deep neural networks to machine learn correlations between knot invariants in various dimensions. The three-dimensional invariant of interest is the Jones polynomial $J(q)$, and the four-dimensional invariants are the Khovanov polynomial $\text ...
Jessica Craven, Mark Hughes, Vishnu Jejjala, Arjun Kar
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