graph theory

Noun

Meaning

(uncountable, mathematics) The branch of mathematics dealing with the properties of graphs (networks of vertices and edges).
The type of graph studied in graph theory is formally described as an ordered pair



G
=
(
V
,
E
)


{\displaystyle G=(V,E)}

comprising a set



V


{\displaystyle V}

of vertices, or nodes, and a set



E


{\displaystyle 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.

(countable, applied mathematics) A theory developed by applying graph theory to a particular problem or application.

Examples

Topology or relational mathematics, including non-metrical fields such as network and graph theory. Ludwig von Bertalanffy

Graph theory Petersen graph main Graphs are basic objects in combinatorics. Source: Internet

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