Results 11 to 20 of about 83,573 (332)
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.
openaire +2 more sources
A polynomial invariant for a new class of phylogenetic networks.
PLoS ONE, 2022 Invariants for complicated objects such as those arising in phylogenetics, whether they are invariants as matrices, polynomials, or other mathematical structures, are important tools for distinguishing and working with such objects.
Joan Carles Pons +3 more
doaj +1 more source
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
openaire +2 more sources
Non-Lorentzian IIB supergravity from a polynomial realization of SL(2, ℝ)
Journal of High Energy Physics, 2023 We derive the action and symmetries of the bosonic sector of non-Lorentzian IIB supergravity by taking the non-relativistic string limit. We find that the bosonic field content is extended by a Lagrange multiplier that implements a restriction on the ...
Eric A. Bergshoeff +4 more
doaj +1 more source
Journal of High Energy Physics, 2022 Recently in JHEP 09 (2021) 053, Wang et al. discussed the polynomial ring formed by flavor invariants in the leptonic sector with massive Majorana neutrinos. They have explicitly constructed the finite generating sets of the polynomial rings for both two-
Jianlong Lu
doaj +1 more source
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.
openaire +2 more sources
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.
openaire +1 more source
Journal of Mathematics, 2022 The topological invariants are related to the molecular graph of the chemical structure and are numerical numbers that help us to understand the topology of the concerned chemical structure. With the help of these numbers, many properties of graphene can
Jie Wu +3 more
doaj +1 more source
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
openaire +2 more sources
Introduction to disoriented knot theory
Open Mathematics, 2018 This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such as disoriented knot ...
Altıntaş İsmet
doaj +1 more source