Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Neelav Dutta"'
Publikováno v:
Collectanea Mathematica. 74:27-60
We study tropically planar graphs, which are the graphs that appear in smooth tropical plane curves. We develop necessary conditions for graphs to be tropically planar, and compute the number of tropically planar graphs up to genus $7$. We provide no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6959e69a647d2daecff2eb535a10f44
https://doi.org/10.1007/s13348-021-00335-4
https://doi.org/10.1007/s13348-021-00335-4
Publikováno v:
Communications in Algebra. 49:2645-2654
An ideal $I$ is said to be "well-poised" if all of the initial ideals obtained from points in the tropical variety $Trop(I)$ are prime. This condition was first defined by Nathan Ilten and the third author. We classify all well-poised hypersurfaces o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7076d5232e3f6724ebbce7ddd809802
https://doi.org/10.1080/00927872.2021.1879828
https://doi.org/10.1080/00927872.2021.1879828
Autor:
David Jensen, Neelav Dutta
We provide lower bounds on the gonality of a graph in terms of its spectral and edge expansion. As a consequence, we see that the gonality of a random 3-regular graph is asymptotically almost surely greater than one seventh its genus.
12 pages
12 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73eee598ad2fbd43440eadb3e0fd78e6
http://arxiv.org/abs/1608.08957
http://arxiv.org/abs/1608.08957
