graph theory: meaning, definition, pronunciation and examples
C2Academic, Technical, Scientific
Quick answer
What does “graph theory” mean?
A branch of mathematics that studies networks of points (vertices/nodes) connected by lines (edges).
Audio
Pronunciation
Definition
Meaning and Definition
A branch of mathematics that studies networks of points (vertices/nodes) connected by lines (edges).
The mathematical framework for modeling pairwise relations between objects, used to study the structure and behavior of networks in various fields like computer science, biology, and social sciences.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or conceptual differences. British English may occasionally favour 'network theory' as a broader, sometimes overlapping term.
Connotations
In both varieties, it is a strictly technical, neutral term for a mathematical sub-discipline.
Frequency
Equal frequency in academic contexts in both regions; virtually non-existent in everyday speech.
Grammar
How to Use “graph theory” in a Sentence
[Verb] graph theory (e.g., study, apply, understand)[Adjective] graph theory (e.g., basic, applied, combinatorial)graph theory [Verb] (e.g., graph theory provides, deals with, concerns)[Preposition] graph theory (e.g., in graph theory, of graph theory, according to graph theory)Vocabulary
Collocations
Examples
Examples of “graph theory” in a Sentence
adjective
British English
- a graph-theory approach
- graph-theory concepts
American English
- a graph theory problem
- graph theory applications
Usage
Meaning in Context
Business
Rare, except in tech/analytics contexts for network analysis of markets or social connections.
Academic
Primary domain. Used in mathematics, computer science, operations research, and related STEM fields.
Everyday
Virtually never used.
Technical
Core terminology in computer science (algorithms, data structures), engineering (circuit design), and biology (neural networks).
Watch out
Common Mistakes When Using “graph theory”
- Using 'graph' to mean a chart (e.g., 'bar graph') within this term's context is incorrect. Here, 'graph' is an abstract structure.
- Omitting 'the' when referring to the field: 'He studies graph theory' (correct), not 'He studies a graph theory'.
- Confusing it with 'graphics' or 'graphic theory'.
FAQ
Frequently Asked Questions
No, they are completely different. 'Graph theory' is a branch of mathematics, while 'graphic design' is a visual art and communication discipline.
No. In this context, a 'graph' is a mathematical structure consisting of vertices (nodes) and edges (lines connecting them), not a visual representation of data.
It is widely applied in computer science (networks, algorithms), operations research (scheduling, logistics), biology (ecological networks, phylogenetics), and sociology (social network analysis).
Basic graph theory starts with discrete, conceptual ideas accessible with secondary school maths. Advanced research, however, requires deep mathematical training in combinatorics, algebra, or topology.
A branch of mathematics that studies networks of points (vertices/nodes) connected by lines (edges).
Graph theory is usually academic, technical, scientific in register.
Graph theory: in British English it is pronounced /ˌɡrɑːf ˈθɪəri/, and in American English it is pronounced /ˌɡræf ˈθiːəri/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of a 'graph' as a map of connections (like a social network graph), and 'theory' as the set of rules for understanding it. It's the 'theory of connection maps.'
Conceptual Metaphor
A NETWORK IS A GRAPH; RELATIONSHIPS ARE EDGES; ENTITIES ARE NODES.
Practice
Quiz
What is the primary object of study in graph theory?