Label
In graph theory, labels help identify and describe the elements of a graph, making it easier to analyse relationships and structures. Labels can take the form of numbers, letters, words, or visual markers.
TL;DR (Too Long; Didn't Read)
A label in graph theory is a visual, numeric, or textual identifier assigned to nodes (vertices) or edges in a graph to provide meaningful information.
Defining Label in Graph Theory
A label in graph theory is a marker-such as a number, letter, word, or symbol-used to identify vertices or edges in a graph. Labels serve various purposes, including:
- Differentiating nodes and edges in a complex graph
- Representing weights or costs in weighted graphs
- Classifying categories or relationships between entities
Labelling is essential in areas like network analysis, optimisation problems, and machine learning, where structured data representation is crucial.
Synonyms for label
marker, mark, tag
Specialised into
identifier, weight, colour
For many applications, the given labels are meaningful in the associated domain.
Examples
Identifier of an edge, a unique label for instance a number or letter.
Labels weighted graph represent the cost of traversing between the endpoints of an edge.
Values of vertices visualised by size, shape, colour or gradient.
