graph theory
/ˈɡɹæf θi.əɹi/
Word Rarity
Rare
Frequency: Zipf frequency 3.99 in modern English
23
Scrabble Score
11
Letters
3
Syllables
9
Unique Chars
Meaning
noun
The branch of mathematics dealing with the properties of graphs (networks of vertices and edges).
Uncountable
Example Sentences
- "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."
- "In graph theory there are two concepts of "sameness" whereby graphs are judged to be "the same", namely equality and isomorphism.[…]An indication of the pervasive role isomorphism has in graph theory is the fact that isomorphism has virtually captured the word "is"."
- "Extremal problems are at the very heart of graph theory. Interpreting it broadly, extremal graph theory encompasses most of graph theory, in its narrow sense, it contains many of the deepest and most beautiful results in graph theory."
- "We aim to highlight the role of graph theory in modern timetabling research and provide some pointers to the relevant literature for the interested reader."
- "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."
- "Galloway and Thacker's own dissatisfaction with the graph theories of network science, for example, point to a tendency to attribute unfettered and apolitical naturalness to what are in effect asymmetrical topological spaces."
Regional Pronunciation
- American English: /ˈɡɹæf θi.əɹi/
Usage
Inflected Forms
Phrases
algebraic graph theory
extremal graph theory
geometric graph theory
graph-theoretic
graph-theoretical
probabilistic graph theory
topological graph theory