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<p>In this paper, we investigate the effect of region crossing change on plane trivalent graphs. As a byproduct, we provide a complete description of the relative positions of these two odd vertices if a triangulation of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="373_2025_2966_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(S^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>S</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> admits exactly two odd vertices.</p>

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Region Crossing Change on Plane Trivalent Graphs

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Zhiyun Cheng

摘要

In this paper, we investigate the effect of region crossing change on plane trivalent graphs. As a byproduct, we provide a complete description of the relative positions of these two odd vertices if a triangulation of \(S^2\) S 2 admits exactly two odd vertices.