6 papers · 1 filter
Projective Differential Moment Invariants from the Viewpoint of Classical Invariant Theory
Leonid Bedratyuk
Polynomial first-order projective differential moment invariants are investigated. The main result establishes an exact correspondence between such moment invariants and symmetric…
Polynomial joint first-order differential projective invariants
Leonid Bedratyuk
We study polynomial absolute and relative joint first-order differential projective invariants for configurations of points in the plane. The main approach is based on passing…
The Action of the Lie Algebra on Colored Graphs and Multicolored Johnson Graphs
Leonid Bedratyuk
We consider the space of -colored graphs on a fixed set of vertices. Each edge position of the complete graph has possible states: the absence of an edge and $…
The Graph Algebra I: Representation-Theoretic Structure
Leonid Bedratyuk
The paper studies the graph algebra whose monomial basis is naturally indexed by simple graphs on a fixed set of vertices. This algebra is at the same time the algebra of pseudo-Bo…
Discrete Moving Frames, Semi-Algebraic Invariants and the Graph Canonization Problem
Leonid Bedratyuk
This paper develops an invariant--geometric interpretation of the canonization problem for simple undirected weighted graphs based on the {discrete moving frame method} for finite…
Relative Invariants from Moving Frames on an Extended Manifold
Leonid Bedratyuk
A constructive modification of the moving frame method is developed in this paper for the construction of relative invariants of regular Lie group actions. Let a relative invariant…