Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Blake Mellor"'
Publikováno v:
Symmetry, Vol 15, Iss 6, p 1267 (2023)
The topological symmetry group of an embedding Γ of an abstract graph γ in S3 is the group of automorphisms of γ that can be realized by homeomorphisms of the pair (S3,Γ). These groups are motivated by questions about the symmetries of molecules
Externí odkaz:
https://doaj.org/article/093d4da818de42dfbb84602399e90dae
Publikováno v:
Symmetry; Volume 15; Issue 6; Pages: 1267
The topological symmetry group of an embedding Γ of an abstract graph γ in S3 is the group of automorphisms of γ that can be realized by homeomorphisms of the pair (S3,Γ). These groups are motivated by questions about the symmetries of molecules
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=multidiscipl::d03e600e13caaedb1921d46a3f3c2af5
Autor:
Riley Smith, Blake Mellor
The fundamental quandle is a powerful invariant of knots and links, but it is difficult to describe in detail. It is often useful to look at quotients of the quandle, especially finite quotients. One natural quotient introduced by Joyce is the $n$-qu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0eacab1fe2df1328bc751bbc6b84b19
Autor:
Blake Mellor
To better understand the fundamental quandle of a knot or link, it can be useful to look at finite quotients of the quandle. One such quotient is the $n$-quandle (or, when $n=2$, the {\em involutory} quandle). Hoste and Shanahan \cite{HS2} gave a com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::511dbb79286cec3ce943e016a788d438
We study {\em generalized graph splines,} introduced by Gilbert, Viel, and the last author. For a large class of rings, we characterize the graphs that only admit constant splines. To do this, we prove that if a graph has a particular type of cutset
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c1e7fedd771d811b3389e8825b8b8e6
http://arxiv.org/abs/1807.11515
http://arxiv.org/abs/1807.11515
Autor:
Blake Mellor, Sean Nevin
We use Kauffman's bracket polynomial to define a complex-valued invariant of virtual rational tangles that generalizes the well-known fraction invariant for classical rational tangles. We provide a recursive formula for computing the invariant, and u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e12b0b9a1cc3fdc23d81338be9690fe
http://arxiv.org/abs/1805.12072
http://arxiv.org/abs/1805.12072
Autor:
Gwen L. Fisher, Blake Mellor
Publikováno v:
Journal of Mathematics and the Arts. 6:141-158
Tilings of the plane, especially periodic tilings, can be used as the basis for flat bead weaving patterns called angle weaves. We describe specific ways to create intricate and beautiful angle weaves from periodic tilings, by placing beads on or nea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b09a8bb1eef673f27c80b2fc4741e7f
https://doi.org/10.1080/17513472.2012.736935
https://doi.org/10.1080/17513472.2012.736935
Publikováno v:
Tokyo J. of Math. 39, no. 1 (2016), 133-156
The symmetries of complex molecular structures can be modeled by the {\em topological symmetry group} of the underlying embedded graph. It is therefore important to understand which topological symmetry groups can be realized by particular abstract g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::704895f40e92764a56aaadacd08d08ef
https://doi.org/10.3836/tjm/1459367261
https://doi.org/10.3836/tjm/1459367261
This article presents a survey of some recent results in the theory of spatial graphs. In particular, we highlight results related to intrinsic knotting and linking and results about symmetries of spatial graphs. In both cases we consider spatial gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c12d70dba9af83c60ab0e88b45dc003c
http://arxiv.org/abs/1602.08122
http://arxiv.org/abs/1602.08122
Autor:
Blake Mellor
We give a new interpretation of the Alexander polynomial $\Delta_0$ for virtual knots due to Sawollek and Silver and Williams, and use it to show that, for any virtual knot, $\Delta_0$ determines the writhe polynomial of Cheng and Gao (equivalently,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7811992d4e960d2d28a5ec53e8c988b