Graphs immersions to the projective plane
Maxim A. Ivashkovskii
TL;DR
This paper studies graph immersions in the projective plane, providing a classification up to regular homotopy, constructing a complete invariant, and describing equivalence classes.
Contribution
It introduces a complete invariant for graph immersions in the projective plane and classifies them up to regular homotopy.
Findings
Classification of immersions up to regular homotopy
Construction of a complete invariant
Description of equivalence classes
Abstract
Immersions of graphs to the projective plane are studied. A classification of immersions up to regular homotopy is given. A complete invariant of immersions up to regular homotopy is constructed. Equivalence classes are described.
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Taxonomy
TopicsGraph Labeling and Dimension Problems · Computational Geometry and Mesh Generation · Homotopy and Cohomology in Algebraic Topology