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arXiv · 2610.00788

Ascending, Bridge, and Unknotting Numbers of Knotted Graphs

Bahar Acu·Puttipong Pongtanapaisan·Ritikaa Singhal
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Abstract

In this paper we define the ascending number and bridge number for virtual and welded spatial graphs. We prove that the former admits a lower bound in terms of the latter. This relationship allows us to compare different notions of unknotting virtual spatial graphs by crossing changes.

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Bahar Acu, Puttipong Pongtanapaisan, Ritikaa Singhal. 2026-09-30. Ascending, Bridge, and Unknotting Numbers of Knotted Graphs. https://arxiv.org/abs/2610.00788

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