Results 21 to 30 of about 284,061 (274)

Burnside Chromatic Polynomials of Group-Invariant Graphs

Discussiones Mathematicae Graph Theory, 2023
We introduce the Burnside chromatic polynomial of a graph that is invariant under a group action. This is a generalization of the Q-chromatic function Zaslavsky introduced for gain graphs.
White Jacob A.
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The Representation of D-Invariant Polynomial Subspaces Based on Symmetric Cartesian Tensors

Axioms, 2021
Multivariate polynomial interpolation plays a crucial role both in scientific computation and engineering application. Exploring the structure of the D-invariant (closed under differentiation) polynomial subspaces has significant meaning for multivariate
Xue Jiang, Kai Cui
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Periodic orbits for real planar polynomial vector fields of degree $n$ having $n$ invariant straight lines taking into account their multiplicities

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We study the existence and non--existence of periodic orbits and limit cycles for planar polynomial differential systems of degree $n$ having $n$ real invariant straight lines taking into account their multiplicities.
Jaume Llibre, Ana Rodrigues
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On a class of invariant algebraic curves for Kukles systems

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna, Salomón Rebollo-Perdomo, Gabriel Villaseñor-Aguilar   +2 more
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Polynomial invariants are polynomial

Mathematical Research Letters, 1995
AMSLaTeX+epic.sty+eepic.sty, 7 ...
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Polynomial invariants for SU(2) monopoles [PDF]

Nuclear Physics B, 1995
50 pages, uses phyzzx.tex, a minor tex problem has been ...
Labastida, J. M. F., Mariño, M.
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The easiest polynomial differential systems in R^3 having an invariant cylinder

Extracta Mathematicae
This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on ...
J. Llibre, L.P. Serantola
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Covariants, Invariant Subsets, and First Integrals [PDF]

Épijournal de Géométrie Algébrique, 2020
Let $k$ be an algebraically closed field of characteristic 0, and let $V$ be a finite-dimensional vector space. Let $End(V)$ be the semigroup of all polynomial endomorphisms of $V$.
Frank Grosshans, Hanspeter Kraft
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Weyl invariant polynomial and deformation quantization on Kahler manifolds

, 2012
Given a polynomial P of partial derivatives of the Kahler metric, expressed as a linear combination of directed multigraphs, we prove a simple criterion in terms of the coefficients for $P$ to be an invariant polynomial, i.e.
Andersen, Arazy, Bayen, Berezin, Bordemann, Bordemann, Cahen, Charles, Dito, Engliš, Engliš, Engliš, Fefferman, Hao Xu, Karabegov, Karabegov, Karabegov, Karabegov, Kontsevich, Kontsevich, Liu, Liu, Ma, Moreno, Reshetikhin, Schlichenmaier, Shimura, Unterberger, Xu, Xu, Xu, Yan, Zelditch, Zhang   +33 more
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Polynomial Invariants by Linear Algebra [PDF]

, 2016
We present in this paper a new technique for generating polynomial invariants, divided in two independent parts : a procedure that reduces polynomial assignments composed loops analysis to linear loops under certain hypotheses and a procedure for generating inductive invariants for linear loops. Both of these techniques have a polynomial complexity for
Oliveira, S., Bensalem, S., Prevosto, V.
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