scholarly journals Some degree bounds for the circumference of graphs

2005 ◽  
Vol 299 (1-3) ◽  
pp. 311-334
Author(s):  
E. Vumar ◽  
H.A. Jung
Keyword(s):  
Degree Bounds

scholarly journals CONSTRUCTIVE NONCOMMMUTATIVE INVARIANT THEORY

2021 ◽  
Author(s):  
MÁTYÁS DOMOKOS ◽  
VESSELIN DRENSKY
Keyword(s):  
Lie Algebra ◽  
Associative Algebra ◽  
Invariant Theory ◽  
Reductive Group ◽  
Symmetric Tensor ◽  
Free Associative Algebra ◽  
Tensor Algebra ◽  
Enveloping Algebra ◽  
Finite Dimensional ◽  
Degree Bounds

AbstractThe problem of finding generators of the subalgebra of invariants under the action of a group of automorphisms of a finite-dimensional Lie algebra on its universal enveloping algebra is reduced to finding homogeneous generators of the same group acting on the symmetric tensor algebra of the Lie algebra. This process is applied to prove a constructive Hilbert–Nagata Theorem (including degree bounds) for the algebra of invariants in a Lie nilpotent relatively free associative algebra endowed with an action induced by a representation of a reductive group.

scholarly journals Sharp degree bounds for sum-of-squares certificates on projective curves

2019 ◽  
Vol 129 ◽  
pp. 61-86 ◽  
Author(s):  
Grigoriy Blekherman ◽  
Gregory G. Smith ◽  
Mauricio Velasco
Keyword(s):  
Sum Of Squares ◽  
Degree Bounds ◽  
Projective Curves

scholarly journals Degree bounds for inverses of polynomial automorphisms

1994 ◽  
Vol 120 (3) ◽  
pp. 705-705 ◽  
Author(s):  
Charles Ching-an Cheng ◽  
Stuart Sui Sheng Wang ◽  
Jie Tai Yu
Keyword(s):  
Polynomial Automorphisms ◽  
Degree Bounds
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