Connectivity in Symmetric Semi-Algebraic Sets

Connectivity in Symmetric Semi-Algebraic Sets

Semi-algebraic set is a subset of the real space defined by polynomial equations and inequalities. In this paper, we consider the problem of deciding whether two given points in a semi-algebraic set are connected. We restrict to the case when all equations and inequalities are invariant under the ac...

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Veröffentlicht in:arXiv.org 2024-06
Hauptverfasser: Riener, Cordian, Schabert, Robin, Vu, Thi Xuan
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Computer Science - Symbolic Computation
Group theory
Inequalities
Mathematical analysis
Polynomials
Set theory
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Zusammenfassung:Semi-algebraic set is a subset of the real space defined by polynomial equations and inequalities. In this paper, we consider the problem of deciding whether two given points in a semi-algebraic set are connected. We restrict to the case when all equations and inequalities are invariant under the action of the symmetric group and their degrees at most \(d
ISSN:2331-8422
DOI:10.48550/arxiv.2404.09749