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Graph with a prism as its skeleton
mathematical field of graph theory, a prism graph is a graph that has one of the prisms as its skeleton. The individual graphs may be named after the
Prism_graph
Prism with a 3-sided base
the graph of a triangular prism is the prism graph Π3, where the symbol Πn represents the graph of an n-sided prism. The graph of a triangular prism is
Triangular_prism
Convex polyhedron with 14 triangle faces
of the triaugmented triangular prism form a maximal planar graph with 9 vertices and 21 edges, called the Fritsch graph. It was used by Rudolf and Gerda
Triaugmented_triangular_prism
Cuboid with all right angles and equal opposite faces
another special case of rectangular prism, known as square rectangular cuboid. They can be represented as the prism graph Π 4 {\displaystyle \Pi _{4}} . In
Rectangular_cuboid
American Software development company
scientific graphing, biostatistics, curve fitting software GraphPad Prism and the free, web-based statistical calculation software, GraphPad QuickCalcs
GraphPad_Software
Franklin graph Frucht graph Goldner–Harary graph Golomb graph Grötzsch graph Harries graph Harries–Wong graph Herschel graph Hoffman graph Hofman Graph H(12
List_of_graphs
Planar, undirected graph with 2n vertices and 3n-2 edges
of prisms, so they are more commonly called prism graphs. Circular ladder graphs: Connecting the four 2-degree vertices of a standard ladder graph crosswise
Ladder_graph
Graph with an Archimedean solid as its skeleton
3-vertex-connected planar graphs), and also Hamiltonian graphs. Along with the 13, the infinite sets of prism graphs and antiprism graphs can also be considered
Archimedean_graph
Graph often embedded in the Klein bottle
hemi-octahedron. Franklin graph as a 6-sided crossed prism graph; it is 1-planar. Wikimedia Commons has media related to Franklin graph. Franklin, P. "A Six
Franklin_graph
Graph with at most one crossing per edge
sometimes requires six colors; for instance, if the planar graph to be colored is a triangular prism, then its eleven vertices and faces require six colors
1-planar_graph
Solid with six equal square faces
cubical graph is also classified as a prism graph, resembling the skeleton of a cuboid. The cubical graph is a special case of hypercube graph or n {\displaystyle
Cube
Bipartite non-Hamiltonian polyhedral graph
In graph theory, a branch of mathematics, the Herschel graph is a bipartite undirected graph with 11 vertices and 18 edges. It is a polyhedral graph (the
Herschel_graph
Topics referred to by the same term
Look up prism, prismatic, or prisms in Wiktionary, the free dictionary. Prism usually refers to: Prism (optics), a transparent optical component with flat
Prism
Number denoting a graph's closeness to a tree
In graph theory, the treewidth of an undirected graph is an integer number which specifies, informally, how far the graph is from being a tree. The smallest
Treewidth
Decomposition of a graph into hamiltonion cycles
mathematics The prism over a graph is its Cartesian product with the two-vertex complete graph. For instance, the prism over a cycle graph is the graph of a geometric
Hamiltonian_decomposition
Cubic graph with 10 vertices and 15 edges
Petersen graphs also include the n-prism G(n,1), the Dürer graph G(6,2), the Möbius–Kantor graph G(8,3), the dodecahedron G(10,2), the Desargues graph G(10
Petersen_graph
Mathematical tree with cycle through leaves
Halin graph construction to a star produces a wheel graph, the graph of the (edges of) a pyramid. The graph of a triangular prism is also a Halin graph: it
Halin_graph
Constructs with triply-connected vertices
connected 3-regular (cubic) simple graphs are listed for small vertex numbers. The number of connected simple cubic graphs on 4, 6, 8, 10, ... vertices is
Table_of_simple_cubic_graphs
Graph with an antiprism as its skeleton
the prism graphs (graphs of prisms) and wheel graphs (graphs of pyramids). Other vertex-transitive polyhedral graphs include the Archimedean graphs. Read
Antiprism_graph
5-dimensional hypercube
equal length. The vertices in a prism are equal to the product of the vertices in the elements. The edges of a prism can be partitioned into the number
5-cube
Cycle graph with all opposite nodes linked
problem; these facets are called Möbius ladder constraints. Ladder graph Prism graph McSorley (1998). Jakobson & Rivin (1999); Valdes (1991). Biggs, Damerell
Möbius_ladder
Cubic graph with 8 vertices and 12 edges
complete graph K5, the graph of the regular octahedron, and the graph of the pentagonal prism) and one of four minimal forbidden minors for the graphs of branchwidth
Wagner_graph
Family of cubic graphs formed from regular and star polygons
and the Nauru graph G ( 12 , 5 ) {\displaystyle G(12,5)} . Four generalized Petersen graphs – the 3-prism, the 5-prism, the Dürer graph, and G ( 7 , 2
Generalized_Petersen_graph
Graph with edges of length one, able to be drawn without crossings
double cover is the 8-crossed prism graph. In 1986, Heiko Harborth presented the graph that became known as the Harborth Graph. It has 104 edges and 52 vertices
Matchstick_graph
Graph with a triangular truncated trapezohedron as its skeleton
simple convex polyhedra are the tetrahedron, triangular prism, and pentagonal prism. The Dürer graph is Hamiltonian, with LCF notation [−4, 5, 2, −4, −2,
Dürer_graph
Four-dimensional analogue of the cube
tesseract is also called an 8-cell, C8, (regular) octachoron, or cubic prism. It is the four-dimensional measure polytope, taken as a unit for hypervolume
Tesseract
Archimedean solid with 62 faces
polyhedra that are not prisms or antiprisms, it has the largest sum of angles (90 + 120 + 144 = 354 degrees) at each vertex; only a prism or antiprism with
Truncated_icosidodecahedron
Archimedean solid with 62 faces
six or twelve pentagrammic prisms. In the mathematical field of graph theory, a rhombicosidodecahedral graph is the graph of vertices and edges of the
Rhombicosidodecahedron
of the vertices of a pentagonal prism by the same fragment used in Tutte's example. Weisstein, Eric W. "Tutte's Graph". MathWorld. Tait, P. G. (1884)
Tutte_graph
Condition when the angle of deviation is minimal in a prism
clearly visible in the graph below. The formula for minimum deviation can be derived by exploiting the geometry in the prism. The approach involves replacing
Minimum_deviation
Maehara conjectured that the graphs of the 7 {\displaystyle 7} -prism, 8 {\displaystyle 8} -prism, and 9 {\displaystyle 9} -prism have sphericity 3 {\displaystyle
Sphericity_(graph_theory)
Mapping a graph onto itself without changing edge-vertex connectivity
In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving
Graph_automorphism
Type of polyhedron
centers. The joined square prism is the same topology as the rhombic dodecahedron. The joined triangular prism is the Herschel graph. Rectified antiprism Conway
Rectified_prism
Two pentagonal pyramids fused base-to-base
give rise to a graph. It is one of the four four-connected simplicial well-covered graphs. It is also one of the six connected graphs in which its neighborhood
Pentagonal_bipyramid
Graph with tight clique-coloring relation
In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every
Perfect_graph
Graph formed by subdivision of triangles
octahedron, and the graph of the pentagonal prism. The Apollonian graphs are the maximal graphs that do not have any of these four graphs as a minor. A Y-Δ
Apollonian_network
Operation in graph theory
edges of an n-prism is the Cartesian product graph K2□Cn. The rook's graph is the Cartesian product of two complete graphs. If a connected graph is a Cartesian
Cartesian_product_of_graphs
Graph theory concept
In graph theory, a planar cover of a finite graph G is a finite covering graph of G that is itself a planar graph. Every graph that can be embedded into
Planar_cover
Two tetrahedra joined by one face
as similar shapes derived from different approaches and the triangular prism as its dual polyhedron. Applications of a triangular bipyramid include trigonal
Triangular_bipyramid
C++ GenStat VSN International 2015 (2015) No Proprietary CLI, GUI GraphPad Prism GraphPad Software, Inc. February 2009 (2009-02) No Proprietary GUI gretl
Comparison of statistical packages
Comparison_of_statistical_packages
Class of 4-dimensional polytopes
infinite sets of convex prismatic forms, along with 17 cases arising as prisms of the convex uniform polyhedra. There are also an unknown number of non-convex
Uniform_4-polytope
Five-dimensional geometric shape
triangular prisms, 20 pentagonal prisms), and 322 hypercells (2 grand antiprisms , 20 pentagonal antiprism prisms , and 300 tetrahedral prisms ). Construction
Uniform_5-polytope
Solid with eight equal triangular faces
octahedron give rise to a graph, a discrete structure drawn in a plane. The name is octahedral graph. The octahedral graph is an example of a four-connected
Regular_octahedron
In polytope theory, the edge graph (also known as vertex-edge graph or just graph) of a polytope is a combinatorial graph whose vertices and edges correspond
Graph_of_a_polytope
Polyhedron with eight triangular faces
polyhedron is also an octahedron. Augmented triangular prism: The result of gluing a triangular prism to a square pyramid, this has six equilateral triangle
Octahedron
Archimedean solid with 26 faces
attaching two regular square cupolas into the bases of a regular octagonal prism. A rhombicuboctahedron may also be known as an expanded octahedron or expanded
Rhombicuboctahedron
Describing a family of graphs by excluding certain (sub)graphs
In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to
Forbidden graph characterization
Forbidden_graph_characterization
Polyhedral graph with 26 vertices and 39 edges
The 26-fullerene graph has D 3 h {\displaystyle D_{3h}} prismatic symmetry, the same group of symmetries as the triangular prism. This symmetry group
26-fullerene_graph
Non-Hamiltonian simple polyhedron
Barnette–Bosák–Lederberg graph has a similar construction to the Tutte graph but is composed of two Tutte fragments, connected through a pentagonal prism, instead of
Barnette–Bosák–Lederberg graph
Barnette–Bosák–Lederberg_graph
Graph-theoretic description of polyhedra
is true for the pyramids (realizations of wheel graphs), prisms (realizations of prism graphs), and stacked polyhedra (realizations of Apollonian networks)
Steinitz's_theorem
Graph with equal-size maximal independent sets
In graph theory, a well-covered graph is an undirected graph in which the minimal vertex covers all have the same size. Here, a vertex cover is a set
Well-covered_graph
Disproven graph theory
mathematics, Tait's conjecture states that "Every 3-connected planar cubic graph has a Hamiltonian cycle (along the edges) through all its vertices". It
Tait's_conjecture
One-by-one assignment of colors to graph vertices
approximation ratio is 2. On unit disk graphs its approximation ratio is 3. The triangular prism is the smallest graph for which one of its degeneracy orderings
Greedy_coloring
Natural number
In graph theory, all graphs with four or fewer vertices are planar, however, there is a graph with five vertices that is not: K5, the complete graph with
5
Archimedean solid with 26 faces
In the mathematical field of graph theory, a truncated cuboctahedral graph (or great rhombcuboctahedral graph) is the graph of vertices and edges of the
Truncated_cuboctahedron
Cartesian product of two polytopes
In geometry of 4 dimensions or higher, a double prism or duoprism is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions
Duoprism
Planar graph used as counterexample
n/3 − 1 triangular prisms on their triangular faces. This graph, and graphs closely related to it, have been frequently used in graph drawing to prove lower
Nested_triangles_graph
Polyhedron with parallel bases connected by triangles
Theodor Wittstein [de]. Although the English "anti-prism" had been used earlier for an optical prism used to cancel the effects of a primary optical element
Antiprism
Undirected graph with 11 nodes and 27 edges
deltahedron. The dual graph of the Goldner–Harary graph is represented geometrically by the truncation of the triangular prism. Goldner, A.; Harary, F
Goldner–Harary_graph
Geometric graph with unit edge lengths
In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting
Unit_distance_graph
represented as a graph with the same number of vertices and edges. Like the Berlekamp–van Lint–Seidel graph and the unknown solution to Conway's 99-graph problem
3-3_duoprism
Field of mathematics dealing with three-dimensional Euclidean spaces
revolution. The Pythagoreans dealt with the regular solids, but the pyramid, prism, cone and cylinder were not studied until the Platonists. Eudoxus established
Solid_geometry
Archimedean solid with 14 faces
three-dimensional primary parallelohedra; the other four are the cube, the hexagonal prism, the rhombic dodecahedron, and the elongated dodecahedron. The truncated
Truncated_octahedron
Star polygon with 7 sides
{7/2} {7/3} {7}+{7/2}+{7/3} 7-2 prism 7-3 prism Complete graph 7-2 antiprism 7-3 antiprism 7-4 antiprism
Heptagram
Geometry problem on tiling by hypercubes
reformulation of the problem in terms of the clique number of certain graphs now known as Keller graphs. The related Minkowski lattice cube-tiling conjecture states
Keller's_conjecture
Polyhedra in which all vertices are the same
families of prisms and antiprisms, including the elongated square gyrobicupola. The skeleton of Archimedean solids can be drawn in a graph, named Archimedean
Archimedean_solid
Polyhedron with 17 faces
diagram of the Laves graph. Pentagonal rotunda, the sixth Johnson solid J 6 {\displaystyle J_{6}} Triaugmented hexagonal prism, the fifty-seventh Johnson
Heptadecahedron
Computer algebra system
covering many aspects of mathematics, including algebra, combinatorics, graph theory, group theory, differentiable manifolds, numerical analysis, number
SageMath
Polyhedron with 9 faces
isosceles triangular faces around a regular octagonal base. Heptagonal prism: a prismatic uniform polyhedron with two regular heptagon faces and seven
Enneahedron
Optical prism
A Fresnel rhomb is an optical prism that introduces a 90° phase difference between two perpendicular components of polarization, by means of two total
Fresnel_rhomb
Polyhedron with four faces
be generally seen as a graph by Steinitz's theorem, known as tetrahedral graph, one of the Platonic graphs. It is complete graph K 4 {\displaystyle K_{4}}
Tetrahedron
Continuous range of values, such as wavelengths in physics
describe the rainbow of colors in visible light after passing through a prism. In the optical spectrum, light wavelength is viewed as continuous, and
Spectrum
minors: the complete graph on five vertices, the octahedral graph with six vertices, the eight-vertex Wagner graph, and the pentagonal prism with ten vertices
Partial_k-tree
R&D scientific software company in the US
and a series of software applications used by scientists that include GraphPad Prism, SnapGene, Geneious Prime, Geneious Biologics, Lab Archives, OMIQ, Protein
Dotmatics
Type of space-filling polyhedron
plesiohedron to any other copy. The plesiohedra include the cube, hexagonal prism, rhombic dodecahedron, and truncated octahedron. The largest number of faces
Plesiohedron
Suite of computer programs
management tool alongside the ability to use your own images as markers on your graph. JMP was originally developed by a business unit of SAS Institute. As of
JMP_(statistical_software)
Assignment of colors to edges of a graph
In graph theory, a proper edge coloring of a graph is an assignment of "colors" to the edges of the graph so that no two incident edges have the same color
Edge_coloring
Concept relating to waves and signals
A rainbow, or prism, sends these component colors in different directions, making them individually visible at different angles. A graph of the intensity
Spectrum_(physical_sciences)
Chart used to show conditions at which physical phases of a substance occur
the space model of a ternary phase diagram is a right-triangular prism. The prism sides represent corresponding binary systems A-B, B-C, A-C. However
Phase_diagram
Isogonal polyhedron with regular faces
polyhedra, together with 75 other polyhedra. They are 2 infinite classes of prisms and antiprisms, the convex polyhedrons as in 5 Platonic solids and 13 Archimedean
Uniform_polyhedron
Topics referred to by the same term
Herschel Grammar School, in Slough, Berkshire, England Herschel graph, a bipartite undirected graph Herschel Greer Stadium, in Nashville, Tennessee Herschel
Herschel
Shape with six sides
can also tile the plane by translation. In three dimensions, hexagonal prisms with parallel opposite faces are called parallelohedrons and these can tessellate
Hexagon
Uniform 4-polytope
tetrahedral prism is a convex uniform 4-polytope. This 4-polytope has 6 polyhedral cells: 2 tetrahedra connected by 4 triangular prisms. It has 14 faces:
Tetrahedral_prism
Statistical software
add on packages to Base SAS include: SAS/STAT – Statistical analysis SAS/GRAPH – Graphics and presentation SAS/OR – Operations research SAS/ETS – Econometrics
SAS_(software)
Statistical analysis software
easy to use interface, with integrated guidance, multiple tabs, improved graphs and much more". In December, 2021, IBM opened up the Early Access Program
SPSS
Solid with twenty equal triangular faces
is an example of a Platonic solid and of a deltahedron. The icosahedral graph represents the skeleton of a regular icosahedron. Many polyhedra and other
Regular_icosahedron
Method of describing higher-order polyhedra
equivalent polyhedra can be thought of as one of many embeddings of a polyhedral graph on the sphere. Unless otherwise specified, in this article (and in the literature
Conway_polyhedron_notation
Programming language for statistics
1 XploRe WinBUGS Commercial Cross-platform Data Desk GAUSS GraphPad InStat GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica
R_(programming_language)
Open source data science software
1 XploRe WinBUGS Commercial Cross-platform Data Desk GAUSS GraphPad InStat GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica
Project_Jupyter
Social networking service owned by Meta Platforms
requirement policies, censorship and its involvement in the United States PRISM surveillance program. According to The Express Tribune, Facebook "avoided
24-vertex symmetric bipartite cubic graph
distance apart; that is, it is a unit distance graph. It and the prisms are the only generalized Petersen graphs G(n,p) that cannot be so represented in such
Nauru_graph
Disclosures of NSA and related global espionage
PRISM Flowchart of the PRISM tasking process PRISM dataflow Explanation of PRISM case names REPRISMFISA web application A week in the life of Prism A
Snowden_disclosures
fitting generalized linear models GraphPad InStat – very simple with much guidance and explanations GraphPad Prism – biostatistics and nonlinear regression
List_of_statistical_software
Poset representing certain properties of a polytope
mathematics. It is understood in terms of the nodes and vertices in the graph of the Hasse diagram of the polytope, not the geometric drawing of the polytope
Abstract_polytope
Star polygon with 12 vertices
(there are no other dodecagram-containing uniform polyhedra). Dodecagrammic prism Dodecagrammic antiprism Dodecagrammic crossed-antiprism Dodecagrams can
Dodecagram
Scientific visualization software
1 XploRe WinBUGS Commercial Cross-platform Data Desk GAUSS GraphPad InStat GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica
Dataplot
Polyhedron associated with another by swapping vertices for faces
diagram on a flat plane. The graph formed by the vertices and edges of the dual polyhedron is the dual graph of the original graph. More generally, for any
Dual_polyhedron
Analytics software suite
1 XploRe WinBUGS Commercial Cross-platform Data Desk GAUSS GraphPad InStat GraphPad Prism IBM SPSS Statistics IBM SPSS Modeler JMP Maple Mathcad Mathematica
SAS_Viya
Statistical software package
twoway (scatter mpg weight) (line mpghat weight, sort), by(foreign) // Graph data and fitted line List of statistical packages Comparison of statistical
Stata
Atmospheric optical phenomenon
ice prisms, it is deflected twice, resulting in deviation angles ranging from 22° to 50°. Given the angle of incidence onto the hexagonal ice prism θ incidence
22°_halo
PRISM GRAPH
PRISM GRAPH
Male
Greek
(Î Ïίαμ) Short form of Greek Priamos, possibly PRIAM means "exceptionally courageous." In mythology, this is the name of a king of Troy.
Girl/Female
British, Christian, English, Latin
Ancient; Diminutive of Priscilla
Girl/Female
Hindu
Girl/Female
Latin
Ancient; archaic. Daughter of Laomedon.
Girl/Female
Greek Latin
Daughter of Priam.
Boy/Male
Greek Latin Shakespearean
Son of Priam.
Girl/Female
Latin
Daughter of Priam.
Girl/Female
Latin Greek Shakespearean
Daughter of Priam.
Boy/Male
Latin Shakespearean
Son of Priam.
Boy/Male
Greek Latin Shakespearean
King of Troy.
Boy/Male
Hindu
Loving, God gifted
Boy/Male
Arabic, Muslim
Prism; Manifesto; Law; Principal
Girl/Female
Latin
Daughter of Priam.
Boy/Male
Hindu, Indian
Loving or God Gifted
Surname or Lastname
German
German : of uncertain origin; possibly from the Latin personal name Primus (‘the first’), borne by several saints; or one composed with a Germanic word meaning ‘to prick or stab’; or from a personal name of Slavic origin Primm, from prēmu ‘right’.French : from a personal name (from Latin Primus).French : nickname from Old French prim ‘first’, possibly given to the eldest child in a family, or alternatively a nickname from Old French and Occitan prim ‘shrewd’, ‘clever’, ‘artful’, ‘sly’.Dutch : variant of Priem.English : variant of Prime.Some of the Prim families in VT descend from a Simon Laval dit Printemps, who was known in English-speaking areas as Seymour Prim.
Surname or Lastname
English
English : habitational name from Priske in Cornwall.
Girl/Female
Latin
Daughter of Priam.
Girl/Female
Gujarati, Hindu, Indian
God Gift
Female
English
English short form of Roman Latin Priscilla, PRIS means "ancient."
Girl/Female
Latin
Daughter of Priam.
PRISM GRAPH
PRISM GRAPH
Girl/Female
Scottish Welsh
Scottish place name.
Girl/Female
English Teutonic
Queen.
Female
Basque
, glory.
Girl/Female
Arabic
Ship
Boy/Male
Indian, Telugu
Wealth of Heart
Girl/Female
American, Australian
The Gem
Male
Arthurian
, Lanzelet's instructor.
Girl/Female
Tamil
A flower, Praise of distinction
Girl/Female
Hindu, Indian, Traditional
Snow; Dew
Girl/Female
Spanish
Bitter.
PRISM GRAPH
PRISM GRAPH
PRISM GRAPH
PRISM GRAPH
PRISM GRAPH
adv.
In the form or manner of a prism; by means of a prism.
a.
Formal; precise; affectedly neat or nice; as, prim regularity; a prim person.
n.
An instrument formed by combining prisms so as to correct the chromatic aberration of the light while linear dimensions of objects seen through the prisms are increased or diminished; -- called also prism telescope.
n.
A transparent body, with usually three rectangular plane faces or sides, and two equal and parallel triangular ends or bases; -- used in experiments on refraction, dispersion, etc.
n.
The revolving square prism carrying the cards in a Jacquard loom.
n.
A prism of an orthorhombic crystal between the macropinacoid and the unit prism; the corresponding pyramids are called macropyramids.
imp. & p. p.
of Prim
n.
A body that approaches to the form of a prism.
a.
Of or pertaining to a porism; of the nature of a porism.
n.
The shorter of the diagonals in a rhombic prism.
a.
Resembling, or pertaining to, a prism; as, a prismatic form or cleavage.
n.
A solid whose bases or ends are any similar, equal, and parallel plane figures, and whose sides are parallelograms.
a.
Separated or distributed by a prism; formed by a prism; as, prismatic colors.
n.
A form the planes of which are parallel to the vertical axis. See Form, n., 13.
a.
Pertaining to the shorter diagonal, as of a rhombic prism.
p. pr. & vb. n.
of Prim
a.
Having twelve similar faces; as, a dihexagonal prism.
a.
Pertaining to a prism.
n.
Rigid purity; the quality of being affectedly pure or nice, especially in the choice of language; over-solicitude as to purity.
n.
The longer of two diagonals, as of a rhombic prism. See Crystallization.