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Region crossing change on spatial theta-curves

2019/10/27 by Ayaka Shimizu, Shimizu, Ayaka, Rinno Takahashi +1 · 1 citation
Computer Science · #Computational Geometry and Mesh Generation #Data Management and Algorithms #FOS: Mathematics #Geometric Topology (math.GT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1910.12183

openalex publication_date 2019/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A region crossing change at a region of a spatial-graph diagram is a transformation changing every crossing on the boundary of the region. In this paper, it is shown that every spatial graph consisting of theta-curves can be unknotted by region crossing changes.

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