Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Joanna A. Ellis-Monaghan"'
Publikováno v:
Symmetry, Vol 14, Iss 9, p 1793 (2022)
Motivated by the problem arising out of DNA origami, we give a general counting framework and enumeration formulas for various cellular embeddings of bouquets and dipoles under different kinds of symmetries. Our algebraic framework can be used constr
Externí odkaz:
https://doaj.org/article/db0807d31f6d480bb718956a569cdd62
We prove that the ribbon graph polynomial of a graph embedded in an orientable surface is irreducible if and only if the embedded graph is neither the disjoint union nor the join of embedded graphs. This result is analogous to the fact that the Tutte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0f5e24c9d91301dbb8c2d736b20b60c5
http://arxiv.org/abs/2212.10920
http://arxiv.org/abs/2212.10920
Autor:
Joanna A. Ellis-Monaghan, Iain Moffatt
Publikováno v:
Handbook of the Tutte Polynomial and Related Topics ISBN: 9780429161612
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd4bd2993bfce88fb7f298e5ade16a7b
https://doi.org/10.1201/9780429161612-2
https://doi.org/10.1201/9780429161612-2
Autor:
Joanna A. Ellis-Monaghan, Iain Moffatt
Publikováno v:
Handbook of the Tutte Polynomial and Related Topics ISBN: 9780429161612
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eca7ed404a3b21769fd32f84ed2ac2c5
https://doi.org/10.1201/9780429161612-13
https://doi.org/10.1201/9780429161612-13
Publikováno v:
Theoretical Computer Science. 785:117-127
In 2009, Jonoska, Seeman and Wu showed that every graph admits a route for a DNA reporter strand, that is, a closed walk covering every edge either once or twice, in opposite directions if twice, and passing through each vertex in a particular way. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b0ce83f0cdc3269045136268fd35088
https://doi.org/10.1016/j.tcs.2019.03.019
https://doi.org/10.1016/j.tcs.2019.03.019
Autor:
Greta Pangborn, Rebecca Rouleau, Alana Houlihan, Joanna A. Ellis-Monaghan, Margherita Maria Ferrari, Anna Cook, Nadrian C. Seeman
Publikováno v:
Journal of Mathematical Chemistry. 56:1365-1392
We describe the half-lap model, a mathematical framework that captures the geometric constraints of rigid tiles that are branched junction molecules used as building blocks for tile-based DNA self-assembly. The model captures not only the combinatori
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b349217c939659239af3cf15a3c9953a
https://doi.org/10.1007/s10910-018-0858-9
https://doi.org/10.1007/s10910-018-0858-9
Autor:
Joanna A. Ellis-Monaghan, Iain Moffatt
The Tutte Polynomial touches on nearly every area of combinatorics as well as many other fields, including statistical mechanics, coding theory, and DNA sequencing. It is one of the most studied graph polynomials.Handbook of the Tutte Polynomial and
Autor:
Bharti Singh, Brianna Healy, Sam Blakeley, Ada Morse, Conor Disher, Greta Pangborn, Melissa C. Westland, Nadrian C. Seeman, Mary Falcigno, Joanna A. Ellis-Monaghan
Publikováno v:
Theoretical Computer Science. 671:69-78
Self-assembly using DNA origami methods requires determining a route for the scaffolding strand through the targeted structure. Here we provide strategies and software tools for determining optimal routes for reporter or scaffolding strands through g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0dde5310573383dbecaf1395136c6030
https://doi.org/10.1016/j.tcs.2016.10.007
https://doi.org/10.1016/j.tcs.2016.10.007
We develop an algebraic framework for ribbon graphs, revealing symmetry properties of (partial) twisted duality. The original ribbon group action of Ellis-Monaghan and Moffatt restricts self-duality, -petriality, or -triality to the canonical identif
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfdced4c5bc0eee982f9242a09939527