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音節graph 発音記号・読み方

/ˈ--gr`æf(米国英語), ɡɹɑːf(英国英語)/

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graph

音節 graph 発音記号・読み方 /grˈæf｜grάːf, grˈæf/ 発音を聞く

‐graph

音節 ‐graph 発音記号・読み方 /gr`æf｜‐grὰːf, ‐gr`æf/

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-graph

graph

音節graph発音記号・読み方 grǽf|grɑ́ːf変化複～s
名詞

動詞
他動詞

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-graph

graph

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graph

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graph

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graph

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graph

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graph

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graph

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graph

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graph

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graph

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Graph

graph

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Graph (abstract data type)

graph

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出典:『Wiktionary』 (2025/10/09 18:31 UTC 版)

発音

(Received Pronunciation) IPA: /ɡɹɑːf/
(米国発音, Northern England) IPA: /ɡɹæf/
韻: -ɑːf, -æf

名詞

graph (plural graphs)

(applied mathematics, statistics) A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set (s) and may or may not be numbers.
Hyponyms: bar graph, line graph, pie graph
(mathematics) A set of points constituting a graphical representation of a real function; (formally) a set of tuples ( x 1 , x 2 , … , x m , y ) ∈ R m + 1 {\displaystyle (x_{1},x_{2},\ldots ,x_{m},y)\in \mathbb {R} ^{m+1}} , where y = f ( x 1 , x 2 , … , x m ) {\displaystyle y=f(x_{1},x_{2},\ldots ,x_{m})} for a given function f : R m → R {\displaystyle f:\mathbb {R} ^{m}\rightarrow \mathbb {R} } . See also Graph of a function on Wikipedia.Wikipedia
- 1969 [MIT Press], Thomas Walsh, Randell Magee (translators), I. M. Gelfand, E. G. Glagoleva, E. E. Shnol, Functions and Graphs, 2002, Dover, page 19,
  Let us take any point of the first graph, for example, x = 1 2 , y = 4 5 {\displaystyle \textstyle x={\frac {1}{2}},y={\frac {4}{5}}} $\textstyle x={\frac {1}{2}},y={\frac {4}{5}}$ , that is, the point M 1 ( 1 2 , 4 5 ) {\displaystyle \textstyle M_{1}({\frac {1}{2}},{\frac {4}{5}})} $\textstyle M_{1}({\frac {1}{2}},{\frac {4}{5}})$ .
(graph theory) A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets ( V , E ) {\displaystyle (V,E)} , where the elements of V {\displaystyle V} are called vertices or nodes and E {\displaystyle E} is a set of pairs (called edges) of elements of V {\displaystyle V} . See also Graph (discrete mathematics) on Wikipedia.Wikipedia
Hyponyms: directed graph, undirected graph, tree
- 1973, Edward Minieka (translator), Claude Berge, Graphs and Hypergraphs, Elsevier (North-Holland), [1970, Claude Berge, _Graphes et Hypergraphes_], page vii,
  Problems involving graphs first appeared in the mathematical folklore as puzzles (e.g. Königsberg bridge problem). Later, graphs appeared in electrical engineering (Kirchhof's Law), chemistry, psychology and economics before becoming a unified field of study.
(topology) A topological space which represents some graph (ordered pair of sets) and which is constructed by representing the vertices as points and the edges as copies of the real interval [0,1] (where, for any given edge, 0 and 1 are identified with the points representing the two vertices) and equipping the result with a particular topology called the graph topology.
Synonym: topological graph
- 2008, Unnamed translators (AMS), A. V. Alexeevski, S. M. Natanzon, Hurwitz Numbers for Regular Coverings of Surfaces by Seamed Surfaces and Cardy-Frobenius Algebras of Finite Groups, V. M. Buchstaber, I. M. Krichever (editors), Geometry, Topology, and Mathematical Physics: S.P. Novikov's Seminar, 2006-2007, American Mathematical Society, page 6,
  First, let us define its 1-dimensional analog, that is, a topological graph. A graph Δ {\displaystyle \Delta } $\Delta$ is a 1-dimensional stratified topological space with finitely many 0-strata (vertices) and finitely many 1-strata (edges). […] A graph such that any vertex belongs to at least two half-edges we call an s-graph. Clearly the boundary ∂ Ω {\displaystyle \partial \Omega } $\partial \Omega$ of a surface Ω {\displaystyle \Omega } $\Omega$ with marked points is an s-graph.
  A morphism of graphs φ : Δ ′ → Δ ″ {\displaystyle \varphi :\Delta '\rightarrow \Delta ''} $\varphi :\Delta '\rightarrow \Delta ''$ is a continuous epimorphic map of graphs compatible with the stratification; i.e., the restriction of φ {\displaystyle \varphi } $\varphi$ to any open 1-stratum (interior of an edge) of Δ ′ {\displaystyle \Delta '} $\Delta '$ is a local (therefore, global) homeomorphism with appropriate open 1-stratum of Δ ″ {\displaystyle \Delta ''} $\Delta ''$ .
(category theory, of a morphism f) A morphism Γ f {\displaystyle \Gamma _{f}} $\Gamma _{f}$ from the domain of f {\displaystyle f} $f$ to the product of the domain and codomain of f {\displaystyle f} $f$ , such that the first projection applied to Γ f {\displaystyle \Gamma _{f}} $\Gamma _{f}$ equals the identity of the domain, and the second projection applied to Γ f {\displaystyle \Gamma _{f}} $\Gamma _{f}$ is equal to f {\displaystyle f} $f$ .
(linguistics, typography) A graphical unit on the token-level, the abstracted fundamental shape of a character or letter as distinct from its ductus (realization in a particular typeface or handwriting on the instance-level) and as distinct by a grapheme on the type-level by not fundamentally distinguishing meaning.
Synonym: glyph
- 2003, J. Richard Andrews, Introduction to Classical Nahuatl, Revised Edition, University of Oklahoma Press, page 10:
  A graph is a token-level nondistinctive representation of a grapheme. It can differ from the other variants of its grapheme with regard to upper case, lower case, script, print, typeface style, typeface size, etc.

使用する際の注意点

In mathematics, the graphical representation of a function sense is generally of interest only at an elementary level. Nevertheless, the term vertex-edge graph is sometimes used in educational texts to distinguish the graph theory sense.

下位語

acyclic graph
biased graph
biconnected graph
bipartite graph
circular graph
complete graph
connected graph
control-flow graph
dependency graph
diamond graph
digraph
directed graph
Eulerian graph
flame graph
functional graph
Grötzsch graph
Hamiltonian graph
Heawood graph
Keller graph
Kneser graph
line graph
Meyniel graph
multigraph
Mycielski graph
nonoriented graph
object graph
oriented graph
Petersen graph
polygon-circle graph
pseudograph
Ramanujan graph
random graph
regular graph
scene graph
signed graph
small world graph
strongly regular graph
subgraph
superregular graph
theta graph
undirected graph
unicursal graph
voltage graph
weighted graph
windmill graph
Yao graph
See also Thesaurus:graph

派生語

algebraic graph theory
bigraph
block graph
braingraph
brain graph
bullet graph
call graph
Cayley graph
cherry graph
cocktail party graph
cograph
complete bipartite graph
conceptual graph
Coxeter graph
crown graph
cubic graph
de Bruijn graph
Desargues graph
directed acyclic graph
directed acyclic word graph
dual graph
elastograph
empty graph
ergograph
factor graph
fatgraph
flowgraph
fluviograph
gastrograph
graphable
graph antihole
graph centre
graph directrix
graph eccentricity
graph eigenvalue
graph geodesic
graph hole
graph homomorphism
graphic matroid
graphiology
graphlet
graphlike
graph minor
graphoid
graphon
graphophone
graph paper
graph polynomial
graph spectrum
graph state
graph-theoretic
graph-theoretical
graph-theoretically
graph theorist
graph thickness
graph topology
graph toughness
graphwork
Herschel graph
hypergraph
hypograph
integraph
karyograph
knowledge graph
Laves graph
Levi graph
logograph
medial graph
metagraph
Moore graph
phenograph
planar graph
plane graph
protograph
rectagraph
regraph
scenegraph
social graph
sonograph
spider graph
spirograph
stream graph
streamgraph
supergraph
Tanner graph
telegraph
termgraph
topological graph
Turán graph
ultragraph
utility graph
viewgraph

動詞

graph (third-person singular simple present graphs, present participle graphing, simple past and past participle graphed)

(transitive) To draw a graph, to record graphically.
- 2011, Carlton Mellick III, Crab Town, Portland: Eraserhead Press, →ISBN, page 8:
  When the doctor took the picture that was to be graphed onto Johnny’s balloon head, he suggested that Johnny make a normal face, without expressing any emotion. But Johnny didn’t like that idea. He’d rather look eternally cheerful than express nothing but apathy for the rest of his life.
(transitive, mathematics) To draw a graph of a function.

同意語

(draw a graph of): chart, plot

参照

^ Douglas Harper (2001–2025), “graph”, in Online Etymology Dictionary.

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