New examples of Brunnian theta graphs
| Autor: | Alexander Zupan, Scott A. Taylor, Anna Kronaeur, Daniel Medici, Byoungwook Jang, Pratap Luitel |
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| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Property (philosophy)
General Mathematics Braid group Parameterized complexity Edge (geometry) spatial graph 01 natural sciences theta graph Combinatorics Mathematics - Geometric Topology 0103 physical sciences FOS: Mathematics Brunnian 0101 mathematics Unknot Mathematics 010102 general mathematics almost unknotted graph Geometric Topology (math.GT) Mathematics::Geometric Topology Graph theta curve 57M25 Theta graph 010307 mathematical physics rational tangle |
| Zdroj: | Involve 9, no. 5 (2016), 857-875 |
| Popis: | The Kinoshita graph is the most famous example of a Brunnian theta graph, a nontrivial spatial theta graph with the property that removing any edge yields an unknot. We produce a new family of diagrams of spatial theta graphs with the property that removing any edge results in the unknot. The family is parameterized by a certain subgroup of the pure braid group on four strands. We prove that infinitely many of these diagrams give rise to non-isotopic Brunnian theta graphs. Accepted by Involve |
| Databáze: | OpenAIRE |
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