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Eulerian partitions for configurations of skew lines

2010/06/17 by Roland Bacher, Bacher, Roland, David Garber +1
Engineering · Mathematics · #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #Combinatorics (math.CO) #FOS: Mathematics #graph theory and CDMA systems #math.CO

paper · pdf · doi:10.48550/arxiv.1006.3447

17 pages, 8 Figures. This paper is an update of a part of math/0205245. Submitted for publication

arxiv created 2010/06/17 · openalex publication_date 2010/06/17 · arxiv updated 2010/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, which is a complement of \citeBG, we study a few elementary invariants for configurations of skew lines, as introduced and analyzed first by Viro and his collaborators. We slightly simplify the exposition of some known invariants and use them to define a natural partition of the lines in a skew configuration. We also describe an algorithm which constructs a spindle-permutation for a given switching class, or proves non-existence of such a spindle-permutation.

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