independent set and independence number

A set of vertices in a graph G is called an independent setMathworldPlanetmath if there are no edges between the vertices.

The independence number of a graph G, usually denoted by α(G), is the size of a maximal independent set in G. α(G)ν means that there are ν vertices with no edges between them.

An independent set is sometimes called a stable set or an anticlique.

Title independent set and independence number
Canonical name IndependentSetAndIndependenceNumber
Date of creation 2013-03-22 14:30:06
Last modified on 2013-03-22 14:30:06
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 6
Author rspuzio (6075)
Entry type Definition
Classification msc 05C69
Synonym stable set
Synonym anticlique
Related topic Clique2
Defines independent set
Defines independence number