Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Erica Flapan"'
Publikováno v:
Scientific Reports, Vol 13, Iss 1, Pp 1-9 (2023)
Abstract Building on the theory of circuit topology for intra-chain contacts in entangled proteins, we introduce tiles as a way to rigorously model local entanglements which are held in place by molecular forces. We develop operations that combine ti
Externí odkaz:
https://doaj.org/article/8a92b57ca6854a9a976bb343257de57c
Publikováno v:
Symmetry, Vol 12, Iss 4, p 546 (2020)
We classify all groups which can occur as the topological symmetry group of some embedding of the Heawood graph in S 3 .
Externí odkaz:
https://doaj.org/article/437a834262f14aadafce7a2f6217ab36
Autor:
Dwayne Chambers, Erica Flapan
Publikováno v:
Symmetry, Vol 6, Iss 2, Pp 189-209 (2014)
Topological symmetry groups were originally introduced to study the symmetries of non-rigid molecules, but have since been used to study the symmetries of any graph embedded in R3. In this paper, we determine for each complete graph Kn with n ≤ 6,
Externí odkaz:
https://doaj.org/article/8c2a324e24604ed793fdb4cfd22c547b
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America
Significance Knotting in proteins was once considered exceedingly rare. However, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins. Conservation of knotting acro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57cc3f482381b9264eba4ff20ec9e077
https://doi.org/10.1073/pnas.1808312116
https://doi.org/10.1073/pnas.1808312116
"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, Recipient of the Fields Medal "I spent a pleasant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3083f584c31885d23f6cf21c7ee2ed30
https://doi.org/10.1201/9781138298217
https://doi.org/10.1201/9781138298217
Autor:
Hugh Howards, Erica Flapan
Publikováno v:
Communications in Analysis and Geometry. 26:1223-1250
The main result of this paper is that for every closed, connected, orientable, irreducible 3-manifold $M$, there is an integer $ n_M$ such that any abstract graph with no automorphism of order 2 which has a 3-connected minor whose genus is more than
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f64bf1f927cc2c106555447540bc075
https://doi.org/10.4310/cag.2018.v26.n6.a1
https://doi.org/10.4310/cag.2018.v26.n6.a1
Autor:
Erica Flapan, Song Yu
We consider when automorphisms of a graph can be induced by homeomorphisms of embeddings of the graph in a $3$-manifold. In particular, we prove that every automorphism of a graph is induced by a homeomorphism of some embedding of the graph in a conn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5836aea6b8db565ef7655fec9ec6f345
http://arxiv.org/abs/1907.03130
http://arxiv.org/abs/1907.03130
Publikováno v:
Symmetry
Volume 12
Issue 4
Symmetry, Vol 12, Iss 546, p 546 (2020)
Volume 12
Issue 4
Symmetry, Vol 12, Iss 546, p 546 (2020)
We classify all groups which can occur as the topological symmetry group of some embedding of the Heawood graph in $S^3$.
Comment: 10 pages, 6 figures
Comment: 10 pages, 6 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d0eddabddae850b24e16b850fc72bc2
'Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject.'– Ed Witten, Recipient of the Fields Medal'I spent a pleasant af
Autor:
Erica Flapan, Helen Wong
This book contains the proceedings of the AMS Special Session on Topology of Biopolymers, held from April 21–22, 2018, at Northeastern University, Boston, MA. The papers cover recent results on the topology and geometry of DNA and protein knotting