- graph, but when four or more
regions meet at a point, the
result can be
nonplanar (for example, if one
thinks of a
circle divided into sectors, with the...
- is to show that, if a
graph is
nonplanar, it must
contain a
Kuratowski subgraph. A
Kuratowski subgraph of a
nonplanar graph can be
found in
linear time...
-
organic synthesis.
Cycloheptatriene is not aromatic, as
reflected by the
nonplanarity of the
methylene bridge (−CH2−) with
respect to the
other atoms; however...
- due to K. G. C. Von Staudt’s
Geometrie der Lage (Nürnberg, 1847). In
nonplanar surface embeddings the set of dual
edges complementary to a
spanning tree...
- octaflexagon, the enneaflexagon, and others.
Harold V.
McIntosh also
describes "
nonplanar"
flexagons (i.e., ones
which cannot be
flexed so they lie flat); ones...
- as
opposed to the
planar sections like rectangular/bar bell sections.
Nonplanar sections require 3D
analysis and are a
research area.
Modeling techniques...
- artery, and left
subclavian artery, as well as
geometrically similar,
nonplanar curvature in the
aortic branches.
Aortic arches studied in rats exhibit...
-
useful "carrier" for H2O2 in some reactions.
Hydrogen peroxide (H2O2) is a
nonplanar molecule with (twisted) C2 symmetry; this was
first shown by Paul-Antoine...
- In
graph theory, Vizing's
theorem states that
every simple undirected graph may be edge
colored using a
number of
colors that is at most one
larger than...
- only, some of the
cells of
which fullerenes are
formed may be pentagons,
nonplanar hexagons, or even
heptagons of
carbon atoms. The
sheets are thus warped...
