Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Ramin Naimi"'
We find all maximal linklessly embeddable graphs of order up to 11, and verify that for every graph $G$ of order 11 either $G$ or its complement $cG$ is intrinsically linked. We give an example of a graph $G$ of order 11 such that both $G$ and $cG$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f151fbb4419ef4cdd816727f1fe6de40
http://arxiv.org/abs/2108.12946
http://arxiv.org/abs/2108.12946
Fleming and Foisy recently proved the existence of a digraph whose every embedding contains a $4$-component link, and left open the possibility that a directed graph with an intrinsic $n$-component link might exist. We show that, indeed, this is the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50eb7a8cf0b4d15800aacd85c63ce2e9
We give a shorter and simpler proof of the result of [2], which gives a necessary and sufficient condition for when a lattice diagram is the projection of a lattice link.
4 pages, 3 figures
4 pages, 3 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae192427de56c1c565d79714d390bc40
http://arxiv.org/abs/1804.04724
http://arxiv.org/abs/1804.04724
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
Publikováno v:
Journal of the London Mathematical Society. 73:237-251
The orientation preserving topological symmetry group of a graph embedded in the 3-sphere is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induced by an orientation preserving homeomorphism of the
Autor:
Ramin Naimi, Roberto Carlos Pelayo
Publikováno v:
Mathematics Magazine. 78:132-137
(2005). Maximizing the Chances of a Color Match. Mathematics Magazine: Vol. 78, No. 2, pp. 132-137.
Publikováno v:
Commentarii Mathematici Helvetici. :317-354
The topological symmetry group of a graph embedded in the 3-sphere is the group consisting of those automorphisms of the graph which are induced by some homeomorphism of the ambient space. We prove strong restrictions on the groups that can occur as
Autor:
Curtis Feist, Ramin Naimi
Publikováno v:
The College Mathematics Journal. 35:183-191
(2004). Almost Alternating Harmonic Series. The College Mathematics Journal: Vol. 35, No. 3, pp. 183-191.
Publikováno v:
Journal of Knot Theory and Its Ramifications. 10:1143-1154
For every natural number n, we exhibit a graph with the property that every embedding of it in ℝ3 contains a non-split n-component link. Furthermore, we prove that our graph is minor minimal in the sense that every minor of it has an embedding in
Autor:
Ramin Naimi
Publikováno v:
Pacific Journal of Mathematics. 180:153-186
A nontrivial knot that can be drawn with only two relative maxima in the vertical direction is called a 2-bridge knot, and one that can be drawn on a torus is called a torus knot. Loosely speaking, a lamination in a manifold M is a foliation of M, ex