Phrase guide

graph theory

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • General-American: /ˈɡɹæf θi.əɹi/
  • Southern-England: Recorded audio is listed in the source snapshot.
  • US: Recorded audio is listed in the source snapshot.

1

noun

Meaning 1

The branch of mathematics dealing with the properties of graphs (networks of vertices and edges).

Definition source: English Wiktionary via Wiktextract

Usage: uncountable

Topics: mathematics, sciences

Examples

  • The type of graph studied in graph theory is formally described as an ordered pair G#61;(V,E) comprising a set V of vertices, or nodes, and a set E of pairs (either ordered or unordered) of vertices, each representing an (directed or undirected) edge; if desired, the vertices and/or edges can be labelled.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

A theory developed by applying graph theory to a particular problem or application.

Definition source: English Wiktionary via Wiktextract

Usage: countable

Qualifier: applied mathematics

Examples

  • 2009, Fu Lee Wang, Christopher C. Yang, Chapter XI: Extracting the Essence: Automatic Text Summarization, Yin-Leng Theng, Schubert Foo, Dion Goh, Jin-Cheon Na (editors), Handbook of Research on Digital Libraries, IGI Global (Information Science Reference), page 114, The entity-level approaches build an internal representation for text units and their relationships, and use graph theories to determine the significance of units.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

37 source translations are retained for this English entry.

  • Armenian: գրաֆների տեսություն (grafneri tesutʻyun) — study of graphs (networks of nodes and edges)
  • Catalan: teoria de grafs — study of graphs (networks of nodes and edges)
  • Chinese Mandarin: 圖論 /图论 (túlùn) — study of graphs (networks of nodes and edges)
  • Czech: teorie grafů — study of graphs (networks of nodes and edges)
  • Danish: grafteori — study of graphs (networks of nodes and edges)
  • Dutch: grafentheorie — study of graphs (networks of nodes and edges)
  • Esperanto: grafeteorio — study of graphs (networks of nodes and edges)
  • Esperanto: grafeiko — study of graphs (networks of nodes and edges)
  • Esperanto: teorio de grafeoj — study of graphs (networks of nodes and edges)
  • Finnish: verkkoteoria — study of graphs (networks of nodes and edges)
  • Finnish: graafiteoria — study of graphs (networks of nodes and edges)
  • French: théorie des graphes — study of graphs (networks of nodes and edges)
  • German: Graphentheorie — study of graphs (networks of nodes and edges)
  • Greek: θεωρία γράφων (theoría gráfon) — study of graphs (networks of nodes and edges)
  • Hebrew: תורת הגרפים (torát hagráfim) — study of graphs (networks of nodes and edges)
  • Hungarian: gráfelmélet — study of graphs (networks of nodes and edges)
  • Icelandic: netafræði — study of graphs (networks of nodes and edges)
  • Icelandic: graffræði — study of graphs (networks of nodes and edges)
  • Indonesian: teori graf — study of graphs (networks of nodes and edges)
  • Indonesian: teori grafik — study of graphs (networks of nodes and edges)
  • Irish: graiftheoiric — study of graphs (networks of nodes and edges)
  • Italian: teoria dei grafi — study of graphs (networks of nodes and edges)
  • Japanese: グラフ理論 (gurafu riron) — study of graphs (networks of nodes and edges)
  • Korean: 그래프 이론 — study of graphs (networks of nodes and edges)
  • Lithuanian: grafų teorija — study of graphs (networks of nodes and edges)
  • Malay: teori graf — study of graphs (networks of nodes and edges)
  • Norwegian Bokmål: grafteori — study of graphs (networks of nodes and edges)
  • Polish: teoria grafów — study of graphs (networks of nodes and edges)
  • Portuguese: teoria dos grafos — study of graphs (networks of nodes and edges)
  • Romanian: teorie de grafuri — study of graphs (networks of nodes and edges)
  • Russian: тео́рия гра́фов (teórija gráfov) — study of graphs (networks of nodes and edges)
  • Spanish: teoría de grafos — study of graphs (networks of nodes and edges)
  • Swedish: grafteori — study of graphs (networks of nodes and edges)
  • Turkish: çizit kuramı — study of graphs (networks of nodes and edges)
  • Turkish: çizit teorisi — study of graphs (networks of nodes and edges)
  • Turkish: graf teorisi — study of graphs (networks of nodes and edges)
  • Welsh: damcaniaeth graffiau — study of graphs (networks of nodes and edges)