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「PLANAR」の共起表現一覧(1語右で並び替え)

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ns but better contrast and less flare than the Planar, a larger maximum aperture and lower chromatic
es, the Al2Cl6 dimers dissociate into trigonal planar AlCl3, which is structurally analogous to BF3.
ystals, Homogeneous alignment sometimes called Planar alignment - this is the state of alignment of
For planar alignment - polyimides can be used.
The pathway by which SO2 inserts into a square planar alkyl complexes involves the formation of an a
s that the wavefronts of plane waves are truly planar; all points on a given two-dimensional wavefro
The planar all-cis isomer (1) (like benzene is) would hav
raction spectrum indicates that the monomer is planar and the dimer is bridged with four Sc-Cl bonds
In 1952 her studies of local forms became more planar and two dimensional, but from the mid 1950s sh
While copper(II) is normally planar and binds better to hard bases such as oxygen
ogical application is as optical waveguides in planar and fibre form.
The Errera graph is planar and has chromatic number 4, chromatic index 6,
The planar anisotropy coefficient or planar R-value is a
ined only by the value of R and the measure of planar anisotropy, Rp is more appropriate.
e radar used an electronically scanned slotted planar antenna but with the experience gained from th
acid derivatives), the (RCO)2 groups adopts a planar, anti-conformation.
The planar aromatic chromophore portion of the molecule i
The four-coordinated square planar arrangement in the starting complex converts t
e antenna is an electronically scanned slotted planar array and has a diameter of 960 mm with a peak
nd uses a 680mm electronically scanned slotted planar array antenna which offers a detection range o
sts only milliseconds, the JL-10A is a slotted planar array radar with each scan last from several s
The planar array radar is a type of radar that uses a hig
AN/TPS-72 is a planar array, E\F band air search radar based on AN/T
AN/TPS-72 is a planar array, E\\F band air search radar based on AN/
The structure is square planar, as has been confirmed by neutron diffraction
8H82-)2, the η8-cyclooctatetraenide groups are planar, as expected for a ring containing 10 π-electr
ht and possess terminal sporangia, grow from a planar basal surface.
The PhCO centers are planar, but the pair of benzoyl groups are twisted wi
If a graph G is not planar, but can be embedded on a surface of genus g,
This remaining component can be made planar by removing a number of breadth-first paths pr
e structure with the cation on nitrogen), this planar carbon interconnecting the π systems of the ar
The planar case can be completed if Vizing's planar graph
own for his contributions to the generation of planar cell polarity in the Drosophila melanogaster e
identified as a Drosophila protein involved in planar cell polarity.
A planar chiral ferrocene derivative
laying optical activity due to the presence of planar chirality and axial chirality.
The anti conformer has planar chirality and both enantiomers were separated
A planar closed sequence of edges forms a polygon (and
ordination number of 3 resulting in a trigonal planar co-ordination.
With d8 metal ions, low-spin square planar complexes form, such as Ni(salen).
d by 4 oxygen atoms in an approximately square planar configuration.
The geometry at xenon is square planar, consistent with VSEPR theory for four ligands
algorithm, called by its authors "the ultimate planar convex hull algorithm" is an algorithm for com
n 46 used throughout most of the world permits planar, convex, and/or aspheric mirrors on either sid
dination of Po as {PoCl8} and distorted square planar coordination of Cl as {ClPo4}.
of the alkyl halide to Cu(I) elevating it to a planar Cu(III) intermediate followed by reductive eli
it's conjecture states that "Every 3-connected planar cubic graph has a Hamiltonian cycle (along the
Calculations predict a planar D6h structure with bond lengths similar to the
case exemplifying these conditions is a square planar, d8 complex such as [(n-C4H9)4N]2Pt(CN)4.
hristian Koeberl and his colleagues discovered planar deformation features (PDFs) in samples from tw
re was confirmed in 1997 when poorly developed planar deformation features (PDFs) in quartz grains w
Main article: Planar deformation features
Planar deformation features, or PDFs, are optically r
how up as lines under a microscope, are called planar deformation features (PDFs), or shock lamellae
nce the distance between planes increases with planar density, slip of the dislocation is preferred
1895: Planar design
The design uses fewer elements than the Planar design and is smaller and less expensive.
chemical reaction is diffusion controlled, the planar diffusion approximation can be applied to the
orollary of the theorem is that a homogeneous, planar disk rolling on a horizontal surface under gra
will be on the same side of the tree in every planar drawing); in the next two figures, they are T-
keleton of the zonohedron can be viewed as the planar dual graph to an arrangement of great circles
The Halin graphs, graphs formed from a planar embedded tree by adding an outer cycle connect
One proof of the impossibility of finding a planar embedding of K3,3 uses a case analysis involvi
This method was also extended to allow a planar embedding (drawing) to be efficiently computed
re many generalizations involving trees with a planar embedding, infinite trees, and so on.
Crenulations form when an early planar fabric is overprinted by a later planar fabric
The two-dimensional, planar faces created by a user can then be pushed and
sp has a distinctly rounded tip (apex) without planar facet wear but retains facets on the lower slo
Fitzhugh and Nagumo extended the equation in a planar field as a model for action potentials of neur
Precision planar filters are manufactured using a thin-film pro
More generally, planar flavones and flavonols with a 7-hydroxyl group
nd the ipso carbons of the phenyl rings form a planar four-membered ring.
der have revealed shock metamorphic features, ( planar fractures and planar deformation features) in
Planar fractures are parallel sets of multiple planar
Although the occurrence of planar fractures is relatively common in other deform
Its planar fused ring system can intercalate into the DNA
Most existing arrays use a planar geometry instead, and Labeyrie's hypertelescop
tert-butyl cation, demonstrating planar geometry
th from its conjugation as well as its flat or planar geometry, meaning that all the atoms lie in a
e anion features a platinum atom with a square planar geometry.
Planar gradiometer.
z's theorem states that any 3-vertex-connected planar graph forms the skeleton of a convex polyhedro
berg's theorem is a necessary condition on the planar graph to contain a Hamiltonian cycle.
For the points in the plane the NNG is a planar graph with vertex degrees at most 6.
wo if and only if the graph is a subgraph of a planar graph with a Hamiltonian cycle; for instance,
wever, the same result also implies that every planar graph of bounded degree has a balanced cut wit
s conjecture (now a theorem) states that every planar graph can also be represented as an intersecti
By Steinitz's theorem, a planar graph represents the edges and vertices of a c
If a planar graph is bipartite and cubic but only 2-connec
The weak dual of an embedded planar graph is the subgraph of the dual graph whose
Therefore, if every planar graph can be represented in this way with only
s conjecture, now a theorem, states that every planar graph is the intersection graph of a set of li
For any embedded planar graph G, let G+ be the multigraph formed by ad
Steinitz's theorem states that any 3-connected planar graph is the skeleton of a convex polyhedron;
cular this implies that the branchwidth of any planar graph that is not a tree is equal to that of i
Theorem: If a planar graph has minimum degree 5, then it either has
4-coloring of the faces of a Hamiltonian cubic planar graph may be constructed directly, using two c
A planar graph cannot contain K3,3 as a minor; an outer
They proved that every triangle-free planar graph can be represented by a collection of li
In mathematics, the dual graph of a given planar graph G is a graph which has a vertex for each
anar graph has boxicity at most two, and every planar graph has boxicity at most three.
The dual of a planar graph is a planar multigraph - a graph that ma
A planar graph remains planar if an edge is added betwe
And, a planar graph is bipartite if and only if, in a planar
r "rigid": in the application of SPQR trees in planar graph embedding, the associated graph of an R
Let G be a finite planar graph with a Hamiltonian cycle C.
is NP-hard to test whether a given undirected planar graph is a matchstick graph.
A planar graph is outerplanar if and only if its weak d
Specifically, for a planar graph G, let H be a directed version of G were
each of the triangular faces of the resulting planar graph is subdivided one more time.
The skeleton of any convex polyhedron is a planar graph, and the skeleton of any k-dimensional c
As a non-Hamiltonian maximal planar graph, the Goldner-Harary graph provides an ex
s, every convex polyhedron forms a 3-connected planar graph, and every 3-connected planar graph can
In a 3-connected planar graph, boundaries of faces are precisely the p
Because the Delaunay triangulation is a planar graph, and there are no more than three times
of a simplicial polyhedron if it is a maximal planar graph.
The Bidiakis cube is a planar graph.
ch(G) ≤ 5 if G is a planar graph.
ch(G) ≤ 3 if G is a bipartite planar graph.
z's theorem, it is a 3-vertex-connected simple planar graph.
e bidiakis cube, an example of a triangle-free planar graph.
The Herschel graph is a planar graph: it can be drawn in the plane with none
graphs, such as all bipartite graphs and most planar graphs except those with maximum degree 6.
Since finding Hamiltonian cycles in maximal planar graphs is NP-complete, so is the problem of te
However, a three-dimensional analogue of the planar graphs is provided by the linklessly embeddabl
phs as their forbidden minors, and include the planar graphs and apex graphs.
been widely used to construct non-Hamiltonian planar graphs with further properties, such as to giv
s paper shows that for the metrics coming from planar graphs (including many graphs arising in chemi
ogously to Wagner's theorem characterizing the planar graphs as the graphs having neither the comple
towski's and Wagner's characterizations of the planar graphs as being the graphs that do not contain
All planar graphs have book thickness at most four, and s
nistic isolation technique for reachability in planar graphs to obtain better complexity upper bound
For bridgeless planar graphs the MWCCP can be solved in polynomial t
ynomial-time algorithm to find maximum cuts in planar graphs exists.
A clique-sum of two planar graphs and the Wagner graph, forming a K5-free
wever, W. T. Tutte showed that all 4-connected planar graphs are hamiltonian.
For this reason, the 3-connected planar graphs are also known as polyhedral graphs.
losed under the operation of taking minors (as planar graphs are) can automatically be characterized
Planar graphs are also not capable of realizing all g
in graph theory and recognized for his work on planar graphs and graph drawing.
n 1922, Franklin gave the first proof that all planar graphs with at most 25 vertices can be four-co
khin, V. (1997), "Clin d'oeil on L1-embeddable planar graphs", Discrete Applied Mathematics 80 (1):
ms (such as the travelling salesman problem in planar graphs) may be solved in time that is exponent
on problems that are NP-complete for arbitrary planar graphs, such as finding a maximum independent
In planar graphs, the maximum independent set remains NP
Efficiently four-coloring planar graphs, - gatech.edu
In planar graphs, and more generally in families of grap
3, and the same applies for 4-choosability in planar graphs, 3-choosability in planar triangle-free
These graph classes include planar graphs, map graphs, bounded-genus graphs and g
the Hosoya index, is also #P-complete even for planar graphs.
f convex polyhedra are exactly the 3-connected planar graphs.
hough the latter term is also used for maximal planar graphs.
aph-theoretic terms, as the 3-vertex-connected planar graphs.
hedra: they are exactly the 3-vertex-connected planar graphs.
inor characterizations similar to that for the planar graphs.
Most commonly, discharging is applied to planar graphs.
graphs of non-crossing circles are exactly the planar graphs.
microwave frequencies, discovery of the giant planar Hall effect in semiconducting ferromagnets, ob
prominent crystallographer, who discovered the planar hexagonal structure of benzene."..."Lonsdale b
r's theorem, is that a four-connected graph is planar if and only if it has no K5 minor.
rs began with Wagner's theorem that a graph is planar if and only if it does not contain the complet
A finite graph is planar if and only if it does not contain a subgraph
The graph G is planar if and only if there exists a partition of the
A connected graph G is planar if and only if it has an algebraic dual.
The molecule is planar in the gas phase.
eported to be non-planar in the gas phase, but planar in the crystal phase.
In 2010, researchers produced microfabricated planar ion traps, for theoretical use in a trapped io
discovered a method to create microfabricated planar ion traps for use in a trapped ion quantum com
onal spectra shows that these contain the same planar ion.
The Zeiss Planar is a photographic lens designed by Paul Rudolp
seudotriangulation is a Laman graph, and every planar Laman graph can be realized as a pointed pseud
ions concerning viscoelastic properties assume planar layer systems.
One of the most notable Planar lenses is the high-speed f/2.0/110 mm lens for
's zones, a player had to reach the former set planar level of 46.
Planar lightwave circuits are either optical integrat
A planar lightwave circuit interferometer (PLCI) is a p
Max offers operations for creative texture and planar mapping, including tiling, mirroring, decals,
ools for measuring adsorption of material onto planar metal (typically gold and silver) surfaces or
In the molecular orbital picture for square planar methane two of a total of 3 sp2 hybridized car
Multicolor planar, microzip planar, PVC ribbonized MCX, SCSI mic
ith Euclidean distance as transportation cost ( planar minmax Euclidean facility location problem, Eu
It has a trigonal planar molecular geometry.
hich would arise from the diprotonation of the planar molecule ethene.
less diboron tetrachloride (m.p. -93 °C) has a planar molecule in the solid, (similar to dinitrogen
y crystallography indicates that zethrene is a planar molecule .
Phosgene is a planar molecule as predicted by VSEPR theory.
Trimesic acid is a planar molecule (and is one of only four benzenecarbo
The active site Ni geometry cycles from square planar Ni(II), with thiolate (Cys2 and Cys6) and back
In the gas phase, the planar nitrous acid molecule can adopt both a cis and
s in fact a distorted geometry that is neither planar nor tetrahedral, with two oxygen ligands and t
In planar one-in-three 3SAT, this graph is assumed to be
eal numbers, the graph can be represented as a planar or curved surface in a three-dimensional Carte
For planar ordered geometry, all points are in one plane.
ve been independently produced for pentacene-a planar organic molecule consisting of five carbon rin
resulted in an even stronger rearrangement and planar orientation of the minerals.
If the planar part of the graph is embedded on a flat plane
trees to encode the possible embeddings of the planar part of an apex graph, it is possible to compu
                                                                                                    


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