Results 1 to 10 of about 284,061 (274)
A polynomial invariant for a new class of phylogenetic networks. [PDF]
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 +2 more sources
Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
doaj +1 more source
Polynomial Invariants for Cactuses
SSRN Electronic Journal, 2022 9 pages, 2 ...
Leo van Iersel +2 more
openaire +5 more sources
A Contribution of the Trivial Connection to Jones Polynomial and Witten's Invariant of 3d Manifolds I [PDF]
, 1991 We use the Chern-Simons quantum field theory in order to prove a recently conjectured limitation on the 1/K expansion of the Jones polynomial of a knot and its relation to the Alexander polynomial.
BRONS, NHC +4 more
core +4 more sources
On uniform polynomial splitting of variational nonautonomous difference equations in Banach spaces
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we consider a concept of uniform polynomial splitting for a discrete cocycle over a discrete semiflow in Banach spaces. We obtain some characterizations of Datko type and also in terms of Lyapunov functions. The study is made from the point
Biriş Larisa Elena +3 more
doaj +1 more source
Polynomial Invariants for Affine Programs [PDF]
Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, 2018 We exhibit an algorithm to compute the strongest polynomial (or algebraic) invariants that hold at each location of a given affine program (i.e., a program having only non-deterministic (as opposed to conditional) branching and all of whose assignments are given by affine expressions). Our main tool is an algebraic result of independent interest: given
Hrushovski, Ehud +3 more
openaire +4 more sources
Hosoya Polynomials Of Some Semiconducotors
Journal of Kufa for Mathematics and Computer, 2014 The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperï€Wiener index.
Azeez Lafta Jabir +2 more
doaj +1 more source
Spectral Invariants and Their Application on Spectral Characterization of Graphs
Axioms, 2022 In this paper, we give a method to characterize graphs determined by their adjacency spectrum. At first, we give two parameters Π1(G) and Π2(G), which are related to coefficients of the characteristic polynomial of graph G. All connected graphs with Π1(G)
Jun Yin, Haixing Zhao, Sun Xie
doaj +1 more source
A simple algorithm to compute link polynomials defined by using skein relations
Computational and Mathematical Biophysics, 2020 We give a simple and practical algorithm to compute the link polynomials, which are defined according to the skein relations. Our method is based on a new total order on the set of all braid representatives.
Zhao Xuezhi
doaj +1 more source
Invariant Algebraic Curves of Generalized Liénard Polynomial Differential Systems
Mathematics, 2022 In this study, we focus on invariant algebraic curves of generalized Liénard polynomial differential systems x′=y, y′=−fm(x)y−gn(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.
Jaume Giné, Jaume Llibre
doaj +1 more source