Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Henrich, Allison"'
Autor:
Ganzell, Sandy, Henrich, Allison
Mosaic diagrams for knots were first introduced in 2008 by Lomanoco and Kauffman for the purpose of building a quantum knot system. Since then, many others have explored the structure of these knot mosaic diagrams, as they are interesting objects of
Externí odkaz:
http://arxiv.org/abs/2004.04790
Autor:
Henrich, Allison, Truax, Robin
Publikováno v:
Involve 15 (2022) 207-232
An \"{u}bercrossing diagram is a knot diagram with only one crossing that may involve more than two strands of the knot. Such a diagram without any nested loops is called a petal projection. Every knot has a petal projection from which the knot can b
Externí odkaz:
http://arxiv.org/abs/2004.00148
We introduce a topological combinatorial game called the Region Smoothing Swap Game. The game is played on a game board derived from the connected shadow of a link diagram on a (possibly non-orientable) surface by smoothing at crossings. Moves in the
Externí odkaz:
http://arxiv.org/abs/1909.12370
Autor:
Cantarella, Jason, Henrich, Allison, Magness, Elsa, O'Keefe, Oliver, Perez, Kayla, Rawdon, Eric J., Zimmer, Briana
In this paper, we introduce a new type of relation between knots called the descendant relation. One knot $H$ is a descendant of another knot $K$ if $H$ can be obtained from a minimal crossing diagram of $K$ by some number of crossing changes. We exp
Externí odkaz:
http://arxiv.org/abs/1705.08990
Publikováno v:
Math Horizons, 2020 Nov 01. 28(2), 8-11.
Externí odkaz:
https://www.jstor.org/stable/48664922
Autor:
HENRICH, ALLISON
Publikováno v:
Mathematics Magazine, 2020 Oct 01. 93(4), 301-305.
Externí odkaz:
https://www.jstor.org/stable/48665748
Autor:
Henrich, Allison, Kauffman, Louis H.
The notion of a pseudoknot is defined as an equivalence class of knot diagrams that may be missing some crossing information. We provide here a topological invariant schema for pseudoknots and their relatives, 4-valent rigid vertex spatial graphs and
Externí odkaz:
http://arxiv.org/abs/1603.03808
When the signed weighted resolution set was defined as an invariant of pseudoknots, it was unknown whether this invariant was complete. Using the Gauss-diagrammatic invariants of pseudoknots introduced by Dorais et al, we show that the signed were-se
Externí odkaz:
http://arxiv.org/abs/1412.7722
Autor:
HENRICH, ALLISON
Publikováno v:
Mathematics Magazine, 2019 Oct 01. 92(4), 305-307.
Externí odkaz:
https://www.jstor.org/stable/48665638
Publikováno v:
The American Mathematical Monthly, 2019 Jun 01. 126(6), 483-490.
Externí odkaz:
https://www.jstor.org/stable/48661180