Enumeration of Algebraic Tangles with Applications to Theta-curves and Handcuff Graphs

• Journal title : Kyungpook mathematical journal
• Volume 48, Issue 3,  2008, pp.337-357
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2008.48.3.337
Title & Authors
Enumeration of Algebraic Tangles with Applications to Theta-curves and Handcuff Graphs
Moriuchi, Hiromasa;

Abstract
We enumerate all algebraic tangles of seven crossings or less up to equivalence. These tangles are mutually distinguished by the corresponding links and their double. The result will be used for enumerating $\small{\theta}$-curves and handcuff graphs in a forthcoming paper.
Keywords
tangle;$\small{\theta}$-curve;handcuff graph;
Language
English
Cited by
1.
AN ENUMERATION OF THETA-CURVES WITH UP TO SEVEN CROSSINGS, Journal of Knot Theory and Its Ramifications, 2009, 18, 02, 167
2.
Enumeration of spatial 2-bouquet graphs up to flat vertex isotopy, Topology and its Applications, 2015, 196, 805
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