Seifert-Tait graphs
Stephen Huggett, Alina Vdovina
TL;DR
This paper investigates the relationship between Seifert and Tait graphs in alternating knots, showing that knots with isomorphic Seifert and Tait graphs are prevalent among such knots.
Contribution
It establishes that among alternating knots, those with isomorphic Seifert and Tait graphs are the most common.
Findings
Isomorphic Seifert and Tait graphs are dominant in alternating knots.
The study characterizes the prevalence of these graph isomorphisms.
Provides insights into the structure of alternating knots.
Abstract
We show that among alternating knots, those which have diagrams whose Seifert and Tait graphs are isomorphic are dominant.
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Taxonomy
TopicsAdvanced Graph Theory Research · Limits and Structures in Graph Theory · Finite Group Theory Research