Knot fertility and lineage

DOI10.1142/S0218216517500936zbMath1380.57010arXiv1705.08990OpenAlexW2963290882MaRDI QIDQ4596424

Briana Zimmer, Jason Cantarella, Allison Henrich, Kayla Perez, Elsa Magness, Oliver O'Keefe, Eric J. Rawdon

Publication date: 1 December 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08990

zbMATH Keywords

subknotsnon-alternating knots10-crossing knotsknot descendentknot fertilityknot parentminors of knotspredecessor knotsshadows of knots

Mathematics Subject Classification ID

Related Items (9)

Regular projections of the link L6n1 ⋮ Big data approaches to knot theory: Understanding the structure of the Jones polynomial ⋮ When can a link be obtained from another using crossing exchanges and smoothings? ⋮ A note on knot fertility. II ⋮ On the Number of Unknot Diagrams ⋮ Combinatorial random knots ⋮ On fertility of knot shadows ⋮ The knots that lie above all shadows ⋮ A NOTE ON KNOT FERTILITY

Uses Software

• Knotscape

Cites Work

• Unnamed Item
• Pseudo diagrams of knots, links and spatial graphs
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• A partial order of knots
• The first 1,701,936 knots
• Knots in knots: A study of classical knot diagrams
• Knot probabilities in random diagrams
• The crossing number of composite knots
• A PARTIAL ORDERING OF KNOTS AND LINKS THROUGH DIAGRAMMATIC UNKNOTTING
• A new polynomial invariant of knots and links
• THE ADDITIVITY OF CROSSING NUMBERS
• More knots in knots: A study of classical knot diagrams
• THE THEORY OF PSEUDOKNOTS

This page was built for publication: Knot fertility and lineage