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Ascending, Bridge, and Unknotting Numbers of Knotted Graphs

Bahar Acu, Puttipong Pongtanapaisan, Ritikaa Singhal

math.COarXiv:2610.00788

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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